This is very nice idea, and I love everything about it, except that the jumping was very intuitive.
Is it related to how many contact points I currently have or something? Cause it felt very random, made me quit at the levels with the rotating platforms, sometimes I jumped over a whole platform and landed on the next, other times I could not make a jump only a bit wider than my character.
Anyway, this is really cool, great base for a game.