Tutorial level please
Okay, so you've given us the whole setup of the game and it does play nicely, both in computer and 2-player method. I would suggest that you do the following:
1) Give us a tutorial level, explaining exactly how the scoring is worked. I knew about the 'traditional' rules for Tic-tac-toe, but the unconventional nature of this beast would need something to tame it.
2) Indications of which layer of the cube was which is needed, because when you're playing and sometimes you get the cube almost mirrored, you spin it around and it becomes very easy to click in the wrong square , giving away too many points to your opponent.
Maybe spread the 3D model about a bit more, so you can see it better, it does look a little cluttered up in the top-left.
[Review Request Club]