This game messed with my head! First few levels I was just moving randomly, but I think at the end I was starting to get the hang of it. And some of those levels were just crazy! Amazing work!
I saw your comment saying you might want to expand the game, so here's something I noticed: some of the levels, especially a few of the mirror ones, the player was just trapped in a little cramped area, so the only thing you could do was turn. This made it pretty easy to just 'stumble' into the correct answer by spinning until all the doors opened, without really knowing solving the puzzle.