Tic-Tac-Toe

So this is how tic tac toe would work if it was in n-space. I think. Basically you must claim n+1 adjacent spaces. Being adjacent means that the closest next space is no more than 1 location away in each coordinate. For example a space that is (over-over, up) is not adjacent, but (over, up) would be or for 3-space (over-over, up, over) would not be and (over, over, down) would be.

You get three tries to input a coordinate before the game asigns you a random unclaimed location.