Just a small nitpick, this isn't every possible combination, since each player picks the "best" choice at every stage. There is also an equivalent set of "wors

Just a small nitpick, this isn't every possible combination, since each player picks the "best" choice at every stage. There is also an equivalent set of "worst" choices, and even for the "best" choices, it has four rotations, since there are four corners that X could start from that are topographically the same. Still cool though :-)