Magic Cubes

For any puzzle fanatics out there, I present some nice cube puzzles (no I haven't done them but I do find them interesting). Everyone knows the first one, it's just a virtual version of rubix cube 3x3x3 but it gets more and more absurd, for example; Magic Cube 4D as a 3x3x3x3 has more possible positions than our universum has atoms and Magic Cube 5D as 7x7x7x7x7 hasn't been solved by anyone in the world. Unbelievable I say. It goes without saying that the previous difficulty helps to understand the next, anyhow here they are:

Magic Cube 3D

Magic Cube 4D

Magic Cube 5D

and as a bonus a non-cube thing:

Magic 120 Cell

Here's the only existing solve of it:


Good luck if you wish to try any of them.