✨ POLAR kinematics

MarlinFirmware/Marlin#25214

config/default/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,60 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/3DFabXYZ/Migbot/Configuration.h

@@ -919,7 +919,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -973,7 +973,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1008,7 +1008,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1018,6 +1018,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1430,13 +1483,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/ADIMLab/Gantry v1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/ADIMLab/Gantry v2/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Alfawise/U20-bltouch/Configuration.h

@@ -986,7 +986,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -1040,7 +1040,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1075,7 +1075,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1085,6 +1085,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1497,13 +1550,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Alfawise/U20/Configuration.h

@@ -987,7 +987,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -1041,7 +1041,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1076,7 +1076,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1086,6 +1086,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1498,13 +1551,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AliExpress/CL-260/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AliExpress/UM2pExt/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A2/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A2plus/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A6/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1445,13 +1498,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A8/Configuration.h

@@ -920,7 +920,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -974,7 +974,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1009,7 +1009,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1019,6 +1019,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1431,13 +1484,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A8plus/Configuration.h

@@ -919,7 +919,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -973,7 +973,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1008,7 +1008,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1018,6 +1018,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1430,13 +1483,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/A9/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/E10/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/E16/BTT SKR 1.3/Configuration.h

@@ -919,7 +919,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -973,7 +973,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1008,7 +1008,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1018,6 +1018,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1430,13 +1483,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/E16/Stock/Configuration.h

@@ -919,7 +919,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -973,7 +973,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1008,7 +1008,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1018,6 +1018,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1430,13 +1483,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET4+/Configuration.h

@@ -923,7 +923,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -977,7 +977,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1012,7 +1012,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1022,6 +1022,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1434,13 +1487,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET4-Pro/Configuration.h

@@ -923,7 +923,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -977,7 +977,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1012,7 +1012,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1022,6 +1022,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1434,13 +1487,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET4/Configuration.h

@@ -923,7 +923,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -977,7 +977,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1012,7 +1012,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1022,6 +1022,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1434,13 +1487,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET4X/Configuration.h

@@ -923,7 +923,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -977,7 +977,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1012,7 +1012,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1022,6 +1022,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1434,13 +1487,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET5-Pro/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET5/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Anet/ET5X/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/Chiron/Configuration.h

@@ -920,7 +920,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -974,7 +974,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1009,7 +1009,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1019,6 +1019,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1431,13 +1484,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/Mega Zero 2.0/Anycubic V1/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/Mega Zero/Anycubic V1/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/Mega Zero/BigTreeTech SKR Mini MZ V1.0/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/i3 Mega/Trigorilla AVR/Configuration.h

@@ -949,7 +949,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -1003,7 +1003,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1038,7 +1038,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1048,6 +1048,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1464,13 +1517,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/i3 Mega/Trigorilla Pro STM32/Configuration.h

@@ -927,7 +927,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -981,7 +981,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,7 +1016,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1026,6 +1026,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1442,13 +1495,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/AnyCubic/i3/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/ArmEd/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Genius Pro/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Genius/BLTouch/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Genius/V1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Hornet/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Sidewinder X1/0.9 BMG - E3D V6/Configuration.h

@@ -932,7 +932,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -986,7 +986,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1021,7 +1021,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1031,6 +1031,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1444,13 +1497,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Sidewinder X1/V1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Artillery/Sidewinder X2/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Azteeg/X5GT/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIBO/TouchX/cyclops/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIBO/TouchX/default/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/B1 - SKR 1.4/Configuration.h

@@ -920,7 +920,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -974,7 +974,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1009,7 +1009,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1019,6 +1019,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1437,13 +1490,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/B1 - SKR 2/Configuration.h

@@ -920,7 +920,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -974,7 +974,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1009,7 +1009,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1019,6 +1019,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1437,13 +1490,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/B1 SE Plus/Configuration.h

@@ -915,7 +915,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -969,7 +969,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1004,7 +1004,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1014,6 +1014,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1426,13 +1479,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/B1 SE/Configuration.h

@@ -915,7 +915,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -969,7 +969,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1004,7 +1004,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1014,6 +1014,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1426,13 +1479,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/BX/Configuration.h

@@ -924,7 +924,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -978,7 +978,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1013,7 +1013,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1023,6 +1023,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1435,13 +1488,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BIQU/Thunder Standard/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BQ/Hephestos/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BQ/Hephestos_2/Configuration.h

@@ -931,7 +931,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -985,7 +985,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1020,7 +1020,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1030,6 +1030,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1442,13 +1495,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/BQ/WITBOX/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/CTC/A13/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/CTC/Bizer/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/CTC/i3 2560 Rev A/no probe/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Cartesio/Configuration.h

@@ -933,7 +933,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -987,7 +987,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1022,7 +1022,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1032,6 +1032,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1444,13 +1497,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Copymaster3D/300/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Copymaster3D/400/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Copymaster3D/500/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 Mini/BigTreeTech SKR Mini E3 2.0/Configuration.h

@@ -925,7 +925,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -979,7 +979,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1014,7 +1014,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1024,6 +1024,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1437,13 +1490,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 Mini/CrealityV1/Configuration.h

@@ -926,7 +926,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -980,7 +980,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1015,7 +1015,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1025,6 +1025,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1437,13 +1490,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 Mini/MEEB-3DP/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 S4/CrealityV1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 S5/BigTreeTech SKR Mini E3 1.2 with TFT35 E3 V3.0/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 S5/BigTreeTech SKR Mini E3 v3/Configuration.h

@@ -916,7 +916,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -970,7 +970,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1005,7 +1005,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1015,6 +1015,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 S5/CrealityV1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 S5/CrealityV2.2-BLTouch/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1430,13 +1483,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 V2/Configuration.h

@@ -926,7 +926,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -980,7 +980,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1015,7 +1015,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1025,6 +1025,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1446,13 +1499,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10 V3/Configuration.h

@@ -926,7 +926,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -980,7 +980,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1015,7 +1015,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1025,6 +1025,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1447,13 +1500,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10/BigTreeTech SKR Mini E3 2.0/Configuration.h

@@ -916,7 +916,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -970,7 +970,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1005,7 +1005,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1015,6 +1015,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1427,13 +1480,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10/CrealityV1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10S/BigTreeTech SKR 1.4 Turbo TMC2209/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10S/BigTreeTech SKR 2.0 TMC2209/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10S/BigTreeTech SKR Mini E3 2.0/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10S/BigTreeTech SKR Pro v1.2/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-10S/CrealityV1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-20 Pro/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-20/RepRapWorld Minitronics20/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-20/Stock/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-30 PrintMill/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-6 SE/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/CR-8/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-2 Pro/CrealityV423/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-2/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Max/Configuration.h

@@ -919,7 +919,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -973,7 +973,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1008,7 +1008,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1018,6 +1018,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1432,13 +1485,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/BigTreeTech SKR 1.4 Turbo/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/BigTreeTech SKR Mini E3 1.0/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/BigTreeTech SKR Mini E3 1.2/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/BigTreeTech SKR Mini E3 2.0/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/BigTreeTech SKR Mini E3 3.0/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/CrealityV1/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/CrealityV422/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 Pro/CrealityV427/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 S1/STM32F1/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 S1/STM32F4/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2 Neo/Configuration.h

@@ -918,7 +918,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -972,7 +972,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1007,7 +1007,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1017,6 +1017,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1429,13 +1482,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2/BigTreeTech SKR E3 Turbo/CrealityUI/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2/BigTreeTech SKR E3 Turbo/MarlinUI/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2/BigTreeTech SKR Mini E3 v3/CrealityUI/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2/BigTreeTech SKR Mini E3 v3/MarlinUI/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position

config/examples/Creality/Ender-3 V2/CrealityV422/CrealityUI/Configuration.h

@@ -917,7 +917,7 @@
   #endif
 
   // Print surface diameter/2 minus unreachable space (avoid collisions with vertical towers).
-  #define DELTA_PRINTABLE_RADIUS 140.0    // (mm)
+  #define PRINTABLE_RADIUS       140.0    // (mm)
 
   // Maximum reachable area
   #define DELTA_MAX_RADIUS       140.0    // (mm)
@@ -971,7 +971,7 @@
   #if ENABLED(MORGAN_SCARA)
 
     //#define DEBUG_SCARA_KINEMATICS
-    #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+    #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
     // Radius around the center where the arm cannot reach
     #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1006,7 +1006,7 @@
   #define TPARA_OFFSET_Y    0       // (mm)
   #define TPARA_OFFSET_Z    0       // (mm)
 
-  #define SCARA_FEEDRATE_SCALING  // Convert XY feedrate from mm/s to degrees/s on the fly
+  #define FEEDRATE_SCALING        // Convert XY feedrate from mm/s to degrees/s on the fly
 
   // Radius around the center where the arm cannot reach
   #define MIDDLE_DEAD_ZONE_R   0  // (mm)
@@ -1016,6 +1016,59 @@
   #define PSI_HOMING_OFFSET    0
 #endif
 
+// @section polar
+
+/**
+ * POLAR Kinematics
+ *  developed by Kadir ilkimen for PolarBear CNC and babyBear
+ *  https://github.com/kadirilkimen/Polar-Bear-Cnc-Machine
+ *  https://github.com/kadirilkimen/babyBear-3D-printer
+ *
+ * A polar machine can have different configurations.
+ * This kinematics is only compatible with the following configuration:
+ *        X : Independent linear
+ *   Y or B : Polar
+ *        Z : Independent linear
+ *
+ * For example, PolarBear has CoreXZ plus Polar Y or B.
+ *
+ * Motion problem for Polar axis near center / origin:
+ *
+ * 3D printing:
+ * Movements very close to the center of the polar axis take more time than others.
+ * This brief delay results in more material deposition due to the pressure in the nozzle.
+ *
+ * Current Kinematics and feedrate scaling deals with this by making the movement as fast
+ * as possible. It works for slow movements but doesn't work well with fast ones. A more
+ * complicated extrusion compensation must be implemented.
+ *
+ * Ideally, it should estimate that a long rotation near the center is ahead and will cause
+ * unwanted deposition. Therefore it can compensate the extrusion beforehand.
+ *
+ * Laser cutting:
+ * Same thing would be a problem for laser engraving too. As it spends time rotating at the
+ * center point, more likely it will burn more material than it should. Therefore similar
+ * compensation would be implemented for laser-cutting operations.
+ *
+ * Milling:
+ * This shouldn't be a problem for cutting/milling operations.
+ */
+//#define POLAR
+#if ENABLED(POLAR)
+  #define DEFAULT_SEGMENTS_PER_SECOND 180   // If movement is choppy try lowering this value
+  #define PRINTABLE_RADIUS 82.0f            // (mm) Maximum travel of X axis
+
+  // Movements fall inside POLAR_FAST_RADIUS are assigned the highest possible feedrate
+  // to compensate unwanted deposition related to the near-origin motion problem.
+  #define POLAR_FAST_RADIUS 3.0f            // (mm)
+
+  // Radius which is unreachable by the tool.
+  // Needed if the tool is not perfectly aligned to the center of the polar axis.
+  #define POLAR_CENTER_OFFSET 0.0f          // (mm)
+
+  #define FEEDRATE_SCALING                  // Convert XY feedrate from mm/s to degrees/s on the fly
+#endif
+
 // @section machine
 
 // Articulated robot (arm). Joints are directly mapped to axes with no kinematics.
@@ -1428,13 +1481,13 @@
   // 2 or 3 sets of coordinates for deploying and retracting the spring loaded touch probe on G29,
   // if servo actuated touch probe is not defined. Uncomment as appropriate for your printer/probe.
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_1 { 30.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_1_FEEDRATE XY_PROBE_FEEDRATE
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, DELTA_PRINTABLE_RADIUS, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_2 { 0.0, PRINTABLE_RADIUS, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_2_FEEDRATE (XY_PROBE_FEEDRATE)/10
 
-  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (DELTA_PRINTABLE_RADIUS) * 0.75, 100.0 }
+  #define Z_PROBE_ALLEN_KEY_DEPLOY_3 { 0.0, (PRINTABLE_RADIUS) * 0.75, 100.0 }
   #define Z_PROBE_ALLEN_KEY_DEPLOY_3_FEEDRATE XY_PROBE_FEEDRATE
 
   #define Z_PROBE_ALLEN_KEY_STOW_1 { -64.0, 56.0, 23.0 } // Move the probe into position