Very cool idea, trying to control the tetrahedron is a fun challenge. I'd add walls to the first levels, to make them easier. Due to the placement of the faces, it's far easier moving in some directions than others, and I think having some walls to crash into would help rotating. This would make for a good rage game, if you made it a single big level, with the possibility of going back to start if you fail, like Getting Over It.
The camera, though. Made me a bit dizzy. It's really hurting the game.