Wikipedia (citing a book on archive.org but no page number) [1] claims the largest order of an element of the Rubik's cube group is only 1260, so the simple repetition strategy would have to have a repeated unit way too long to be practical. (It sounds like you could potentially get a longer sequence if you allow "rotating the cube" as a move vs just turning the sides, though probably not enough to matter)
The linked circuit does have a repeating pattern like this at its core, and visits entire cosets of a subgroup at a time (presumably the same way each time) so it seems like there's already a bit more structure than a random 200MB file.
The linked circuit does have a repeating pattern like this at its core, and visits entire cosets of a subgroup at a time (presumably the same way each time) so it seems like there's already a bit more structure than a random 200MB file.
https://en.wikipedia.org/wiki/Rubik%27s_Cube_group#Group_str...