Cartesian Coordinate System (XYZ & ABC & RPY)

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The model represents a 3D Cartesian coordinate system with translation and rotation around the axes. The axes are labeled in both ABC and RPY (Roll, Pitch, Yaw) systems. Cylinders rotate around their axes, with positive (+) and negative (-) rotation directions marked.

• Axes and rotations:
  • A (X-Roll, R, red) – rotation around the X-axis.
  • B (Y-Pitch, P, black) – rotation around the Y-axis.
  • C (Z-Yaw, Y, blue) – rotation around the Z-axis.
• Translation and reference point:
  • Axes can move along their directions.
  • The cube in the center is the reference point (0).

Applications:

This model can be used as a visualization tool for teaching spatial geometry, CNC programming, motion analysis in robotics, and 3D modeling. It helps in understanding both the coordinate system and rotational movements in space.