Cartesian Coordinate System (XYZ & ABC & RPY)

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.

Assembly Order

1. Place the central cube on the base.
2. Insert the bushings into the sockets in the cube – orientation of the axis names (Z Y X) should be aligned from the cube's side.
3. Insert the arrows representing the axes into the cube’s sockets, locking the bushings in place to prevent sliding (while still allowing rotation).