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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 ...
Strong positional game (also called Maker-Maker game) The first player to claim all of the elements of a winning set wins. If the game ends with all elements of the board claimed, but no player has claimed all elements of a winning set, it is a draw. An example is classic tic-tac-toe. Maker-Breaker game The two players are called Maker and Breaker.
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 ...
It is played by two players, called First and Second, who alternately take previously untaken positions. In a strong positional game, the winner is the first player who holds all the elements of a winning-set. If all positions are taken and no player wins, then it is a draw. Classic Tic-tac-toe is an example of a strong positional game.
A complete game of Notakto, a misère variant of the game. Tic-tac-toe is an instance of an m,n,k-game, where two players alternate taking turns on an m×n board until one of them gets k in a row. [1] Harary's generalized tic-tac-toe is an even broader generalization. The game can also be generalized as a n d game. [2]
Tic tac toe is a classic game. 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 ...
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.
Harary's generalization does not include tic-tac-toe itself, as diagonal constructions are not considered a win. Like many other two-player games, strategy stealing means that the second player can never win (assuming optimal play from the first player). All that is left to study is to determine whether the first player can win, on what board ...
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