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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). The game ends when all the boards contain a three-in-a-row of Xs, [ 4][ 5][ 6] at ...
Tic-tac-toe. 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 ...
SOS (paper-and-pencil game) 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 .
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Tic-tac-toe variants. 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]
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. The first player to achieve four of their own ...
Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a position that the players take turns changing in defined ways or moves to achieve a defined winning condition.
Combinatorial Games: Tic-Tac-Toe Theory. 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 ...