Someone linked [1] an interesting tool in the replies:
MagicTile - Geometrical and Topological Analogues of Rubik's Cube - http://roice3.org/magictile/
"If you want to try solving the Rubik's Cube this way, you should try @roice713's MagicTile. You can choose the Rubik's cube among hundreds of puzzles. The stereographic projection makes it look like the animation in this post."
"If you want to try solving the Rubik's Cube this way, you should try @roice713's MagicTile. You can choose the Rubik's cube among hundreds of puzzles. The stereographic projection makes it look like the animation in this post."
[1] https://twitter.com/mananself/status/1595132523264167936