“If a diagonal is drawn on each side of a cube…” — FreeMathHelp

URL: https://www.freemathhelp.com/forum/threads/if-a-diagonal-is-drawn-on-each-side-of-a-cube-how-many-different-patterns-possible.110107/

Exact question followed by a substantial Burnside-lemma solution analyzing rotations and fixed configurations. The final value is not reproduced here. Solution appears rigorous but unofficial.