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Tic-tac-toe A completed game of tic-tac-toe Other names Noughts and Crosses Xs and Os Genres Paper-and-pencil game Players 2 Setup time Minimal Playing time ~1 minute Chance None Skills Strategy, tactics, observation Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns ...
How to win tic tac toe requires strategic thinking and planning to win the game or force a draw. When you’re the first one up, there is a simple strategy on how to win tic tac toe: put your ‘X ...
Diagram showing optimal strategy for tic-tac-toe.With perfect play, and from any initial move, both players can always force a draw. In combinatorial game theory, a two-player deterministic perfect information turn-based game is a first-player-win if with perfect play the first player to move can always force a win.
The winning row can be horizontal, vertical, or diagonal on a single board as in regular tic-tac-toe, or vertically in a column, or a diagonal line through four boards. As with traditional tic-tac-toe, several commercial sets of apparatus have been sold for the game, and it may also be played with pencil and paper with a hand-drawn board.
Combinatorial Games: Tic-Tac-Toe Theory is a monograph on the mathematics of tic-tac-toe and other positional games, written by József Beck.It was published in 2008 by the Cambridge University Press as volume 114 of their Encyclopedia of Mathematics and its Applications book series (ISBN 978-0-521-46100-9).
Hence, every winning-strategy of First in a strong-positional game is also a winning-strategy of Maker in the corresponding maker-breaker game. The opposite is not true. For example, in the maker-breaker variant of Tic-Tac-Toe, Maker has a winning strategy, but in its strong-positional (classic) variant, Second has a drawing strategy. [2]
Ultimate tic-tac-toe (also known as UTT, super tic-tac-toe, meta tic-tac-toe, (tic-tac-toe)² or Ultimate Noughts and Crosses [1]) is a board game composed of nine tic-tac-toe boards arranged in a 3 × 3 grid. [2] [3] Players take turns playing on the smaller tic-tac-toe boards until one of them wins on the larger board. Compared to traditional ...
Notakto is a tic-tac-toe variant, also known as neutral or impartial tic-tac-toe. [1] [2] The game is a combination of the games tic-tac-toe and Nim, [1] [3] played across one or several boards with both of the players playing the same piece (an "X" or cross).
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