It's a lovely game. I almost won on all levels but the last one was way too hard for me :D.
I think your game needs just a few tweaks and additional mechanics.
Like already people commented, with your design with random enemies some kind of indication of the next move would be perfect since now you could be just rolling back and forth wating for AI to make that specific move to win which can be a little frustrating.
Also a condition "To defeat: Odd numbers" for me was a little misleading. I was trying to beat level by "attacking" other dices when they had odd numbers. xD
Now that's propably me but prediction mode and dissasembly mode was kinda weird to work with, maybe because there's one side missing on your diagrams? I don't know tbh.
Over all i like your shot on this theme. Good luck and don't forget to improve. :)