Wow, I'm absolutely in love with this puzzle mechanic! This was loads of fun even with so few levels. I could've played many more of them for sure! Fits the theme in my books, haha.
The choice of controls were a little odd to get used to, but picking the right controls can be hard for games that use the 3rd dimension like this. That said, perhaps the mouse could be used to rotate? Or A and D could be used in someway during 3D rotate mode. The rotation was also a little stiff I felt, too, slowing the puzzles down a bit. And I'm not sure I understand the reason for not allowing rotation while in the air (especially since this can lead to falling infinitely upward with no way back down ^^; ). Also, it might be a bug, but you can technically double jump and currently it breaks most of puzzles, haha ^^;
But otherwise I could really see this idea going far: with some more refined mechanics and controls and more puzzles really stretching the limits of all aspects of the mechanics I'd be hooked, haha! (Also, I don't know if it was intentional, but I love how when you restart the music doubles up and you get some cool chaotic patterns in the music as it plays over itself xD Makes it even more mesmerizing!)