Great work. I think the movement is really interesting and enjoyable. It can be a little bit challenging to rotate the correct amount to push off on the angle you want but it is very satisfying when you get it perfect and make a challenging jump between some spikes. The different areas that had different movement rules were very interesting and added a nice bit of variation to the basic movement.
Rotating the player to the sides was easy to understand but I did not understand what the crouching was. I was not able to make anything different happen when I pressed Ctrl. 
I got this far and found it to be a good challenge up to this point. Some levels were harder or easier than other but none of them took me long enough to get frustrated. Until this one. I could not figure out how to use the moving platform for anything other than to help me get closer to the spikes and die.