4D Rubik's Cube https://superliminal.com/cube/cube.htm
But that's for wimps. A real man goes for the 120-cell puzzle.
http://www.gravitation3d.com/magic120cell/
This puzzle has been solved more than once. It takes about 33,000 moves.
Then there's this, https://www.youtube.com/watch?v=5w6-dD8YfoI, which appears to be hyperbolic.