@ZachWeinersmith When you teach the game of Go to mathy types, they inevitably come up with variations. What if we played on a hex grid instead of a square grid? What if the board was a torus that wrapped around? What if the board was 3D?
At the annual US Go Congress, one of the standard events is "crazy go", which tries out some of these variants.
The most bananapants was Team Kriegspiel Go, involving two teams of two players, plus a referee. On your turn, you submit your move to the referee and find out if it's legal. Not only do you not know your opponent's moves, you don't know half of your own moves!