What a neat concept for a score-chasing platformer! I got 4 coins and 420 points.
It took me a couple tries to figure out why I was getting stuck on the bottom rung: I think the game would feel a lot more intuitive if the hanoi rings reached down to the rung below them, preventing the player from going underneath upper layers and bonking their head.
It might also feel better if the rotation speed were multiplied by how close the player is to the center, as spinning the top rows takes a while.
Thanks for sharing this!