I played the incredible machine when I was young and loved it! However, I was not able to achieve anything here, as the controls are unbeatable for me. sometimes i managed to rotate a tile, then it was zooming and it was totally unclear to me, how to switch between the modes. Way too much text on screen. I think, this game would be an excellent experience, if you would choose a different control strategy, like rotating with rmb, moving with lmb and together with shift you switch axis between X and Y. no Z axis needed.
still, i appreciate the approach of a physics game - nice work!