fived_0027

A five dimensional 'cube' rotating in 5d space.

 

the construction and rotation matrices are easy enough - it's just two hops up from 3d. and to translate from 5d to 2d you need a 5d-4d perspective transformation followed by a 4d-3d one followed by the usual 3d-2d one.

 

2d square = 4 points and 4 edges and 1 rotational axis

3d cube = 8 points and 12 edges and 3 rotational axes

4d cube (tesseract) = 16 points and 32 edges and 6 rotational axes

5d cube = 32 points and 80(?) edges and 10 rotational axes

Done