Puzzle game with an undo button. You have succeeded. I think the hardest part is knowing what you have already done. I did not realize that I was editing the different sides for a long time and was jut running around confused for the first 2 levels until I completed them. I think having a UI at the top of the screen that shows you the faces on the last die you pushed would have helped a TON for understanding. As is I needed a pencil to keep track.
Solid puzzle game you made here though. The levels are challenging and full of the ahah effect. Great job, fun concept. keep up the good work.