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Cylindral Tic-Tac-Toe

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A careful player can always guarantee at least a draw at regular tic tac toe.

(a) Is this also true with cylindrical tic-tac-toe? Explain.

(b) In cylindrical tic-tac-toe, can two players co-operate to play a draw? Explain.

I know this must be simple but I can find nothing on it anywhere.

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Solution Summary

This answers questions about tic-tac-toe played on a cylinder and whether or not there can be a draw.

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a) a draw is impossible. Because of the cyclical nature of the game, all games (42 possibilities) that would be a draw in regular tic-tac-toe become connected to the opposite side to make a ...

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