The permutations you're getting are Cayley's Theorem in action: https://en.wikipedia.org/wiki/Cayley%27s_theorem https://en.wikipedia.org/wiki/Cayley%27s_theore

The permutations you're getting are Cayley's Theorem in action: https://en.wikipedia.org/wiki/Cayley%27s_theorem https://en.wikipedia.org/wiki/Cayley%27s_theorem Basically, there's a finite group that acts on the Rubik's cube, and every finite group is a subgroup of a permutation group if you squint at it right. (what's a 'finite group action?' The 'group' is a set of composable and reversible "moves." The 'action' means that the group moves are effectively state transitions acting on a set of states, and that the action is nice and associative: g(hs) = (gh)s. And 'finite' just says that there's only so many states possible...) Really nice demo, by the way! Very fun to see the squares go flying.