Your mechanic is really interesting and your puzzles really play well with it. A small issue is that it can be hard to figure out in the beginning that the grey squares are buttons you have to push, nothing major since once you've done it once you learn it to heart.
However; my real problem with this game is its combat and enemy system, the thing is I really don't see the need for it, more than adding to your gameplay it is hindering it. Your puzzles are amazing and are definitely the selling point of the game, but the enemies get in the way and become an annoyance instead of an interesting part of the gameplay. This is a shame because otherwise I grew to love the puzzles and it looks really great.