Wow, the mechanic is super awesome! Its really cool!
Furthermore it is accompanied with a good level design. I liked like new functions were gradually added through new rooms
Also good smooth animation and nice visuals)
There was one problem when I stuck between moving platform (with spikes) and floor, but was managed to jump out after a while.
I have some suggestions, but they are more about further development, than about changing current behaviour:
Adding some narrative or metanarrative to rooms: it could be additional motivation to go to other rooms, besides new challenges and game complition.
The visuals and art are really good, but maybe just a little more different tiles for walls(and other things) will add more varighty
Anyway the game is greate, I hope you will continue the project after the jam:)