Great and unusual.
First of all it's just addictive.
At second I've grasped at platforms that move even inside folded areas and stitch out of these areas shifted according to plane.
Great idea.
Great programming work.
Some things that could improve the gameplay:
1. "Undo one last fold" button. Because sometimes you can lock yourself without chance to get out.
2. "Restart" button instead of going to main menu and choose the level again. Because sometimes undo only one last fold wouldn't help as it happens in lvl30 for example.