Great concept!
I reached level 3 and got stuck on the last 2 platforms. :(
I would suggest one main thing: Mouse control might not be the best idea for handling rotation. It doesn't ever get to feel natural. I think a 2 button control scheme (left click for rotating left and right for the opposite for example) would make the user experience so much better.
In any case, I was greatly surprised by the concept and I really liked it!