Quantum Tic-Tac-Toe

Reversal of Fortune

Here is a game where X and O both see their fortunes rise and fall. .

Move		X		O
1		4 - 7		1 - 3
3		5 - 9		2 - 7
5		5 - 8		5 - 7
7		2 - 6		3 >1
9

By move 7, X has six wins in the Classical Ensemble, while O has none. But on the next move, O turns the tables: X is reduced to 3 wins in the Ensemble, while O now has wins in all seven classical games! Can X turn the tables again? What should X do on move 9?

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A Classical Game that Looks Like a Quantum Game

Last month's challenge was to find a classical Tic-Tac-Toe game that could be taken for a QT3 game. Such games exist, but they aren't likely to be seen between players trying to win. It requires cooperation between the players to set up such a game. Here's an example:

Move   X   O 1     1       2   3     3       6   5     9       8   7     7       4   9     5

This game just looks dumb for the first eight moves; X marks a corner, and O marks a side, all the way around the board. Then X marks the center on move 9, and wins with three in a row in the diagonal. Wait, he's got three in a row in both diagonals!. And that is the reason this game looks like a quantum game.