Tesseract!

A unique four-dimensional puzzle, but please do not expect to solve it easily.
The game consists of rolling a golden sphere to each surface of a hypercube. This is done by touching a door to pass through which in turn rotates the tesseract four dimensionally and brings the sphere into a new room.
Passing through a series of rooms strategically will put the sphere on the walls and ceilings of rooms it has previously been in.
The goal is to reach every wall, floor and ceiling of every room.