this is rather long comment..
TL.DR: Nice and creative!
Hey, really nice concept, and quite true to the theme! :D
Sounds were quite ..."immersive" puzzle like music. Game was hard at first, If I hadn't watched VLad's video + comments, I'm not sure I'd have been able to clear it.
took me a little while to understand the physics, why is it that sometimes it can't "rotate" and go to the direction I want? It is still under "influence" from previous ..velocity right? (don't know the right terms), but you can't just suddenly pause and come to a complete full stop and make a sharp turn right?
I think, having some sort of visual indicator about how fast you're currently going would be nice, so when the player tries to make a sharp turn at high speeds, it'd be easy to know that it's not possible under current circumstances...
Good job on all these crazy math involved :D
and one last thing = at the start of every level, can be hard to locate were you are...
Game is pretty solid overall, just need a few little more visual indicators imo.