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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 marking the spaces in a three-by-three grid with X or O. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner.
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]
An incomplete game of SOS. SOS is paper and pencil game for two or more players. It is similar to tic-tac-toe and dots and boxes, but has much greater complexity. [1] SOS is a combinatorial game when played with two players. In terms of game theory, it is a zero-sum, sequential game with perfect information.
3-D Tic-Tac-Toe played with glass beads. 3D tic-tac-toe, also known by the trade name Qubic, is an abstract strategy board game, generally for two players. It is similar in concept to traditional tic-tac-toe but is played in a cubical array of cells, usually 4×4×4. Players take turns placing their markers in blank cells in the array.
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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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.
[2] [3] It is a game where participants play tic-tac-toe by lobbing small beanbags at targets in an attempt to change the targets to their desired letter. As in traditional tic-tac-toe, the first player to get three of their letters in a row wins the game. There are other similar games to Toss Across known under different names, like Tic Tac Throw.
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