This is a video of a computer solving a 2D projection of a 5D Rubik's Cube which looks very bizarre and pretty. Amazingly this puzzle and the 4D version have been solved by a few extraordinary people (link).

A 5-D puzzle is incredibly more difficult to comprehend on a 2-D screen than a 4-D puzzle is. An essential feature of the Gravitation3d implementation is the ability to turn off or highlight chosen cubies and stickers. Even so, the complexities of the images produced are still quite severe as can be seen from the screen shots. -wiki