I had done something similar once on an 8x8x8 LED cube. I implemented a 3d, 2-player lightcycle game with two snakes. You could move around the cube's surface,

I had done something similar once on an 8x8x8 LED cube. I implemented a 3d, 2-player lightcycle game with two snakes. You could move around the cube's surface, or you could press a button to cut through the cube to the opposite side. Catch was that you could not change directions while going through the cube, only when on the surface, so you had to be careful the other player didn't have the chance to cut you off before you made it to the other side.