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I have seen some code (https://mathematica.stackexchange.com/a/9593) to create an animation of a hypercube rotating, but I'm really struggling to understand how it works. I find it quite complicated. Suppose I would like to create a very similar animation, but rather than a hypercube, using a "hyperdodecahedon" (AKA 120-cell) instead? Does the code need to be completely rewritten in order to achieve that, or can it be done with just a few minor changes? How would you create that animation for a 120-cell?

Perhaps something like this: https://upload.wikimedia.org/wikipedia/commons/f/f9/120-cell.gif

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  • $\begingroup$ "can it be done with just a few minor changes?" - first, you'd need a representation of the 120-cell (vertices, edges, etc.). Do you already have one? $\endgroup$ – J. M.'s torpor Feb 14 at 21:51
  • $\begingroup$ Graphics3D[GraphicsComplex[coords4D.A.P, primitives]], where A is the appropriate RotationMatrix[], and P is a projection matrix from 4D to 3D (maybe just the first three coordinates). Making it artistic requires some knowledge of good choices for A and P or a lot of experimentation. A perspective projection might be better than an orthogonal one, but each would give a different look. $\endgroup$ – Michael E2 Feb 14 at 22:09
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    $\begingroup$ An old Mathematica computation is described in Sullivan 1990 $\endgroup$ – Michael E2 Feb 14 at 22:20

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