Question: Visualizing the link between matrices and rotations in R^3

Hi,

For pedagogical purposes, I am looking for a dynamic way to visualize the link between matrices and rotations in IR^3, for example through the rotation of a cube around the coordinate axes, as in the attached image.

My goal is to make the connection clearer for students between the rotation matrix and its geometric effect in space.

If you have ideas, examples, or Maple approaches that could help illustrate this dynamically, I would be very grateful.

Many thanks in advance for your insight.

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