This game is excellent. The concept is really cool and it's executed very well. I really like the art-style, and the music and sound effects are great. The biggest problem had was that the tutorial wasn't super clear. But once I figured out how to play, it was really fun. As far as the actual gameplay is concerned, I would suggest changing the dice to only have 4 faces to reduce complexity (I don't think anyone would use the 6th face anyways).
Also, some bugs I encountered are that right-clicking the king takes AP instead of summoning a new die. Also, clicking next on the last level just restarts it.
All-in-all, excellent entry. This is one of my favorite games so far!