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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 ...
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 ...
The Matchbox Educable Noughts and Crosses Engine (sometimes called the Machine Educable Noughts and Crosses Engine or MENACE) was a mechanical computer made from 304 matchboxes designed and built by artificial intelligence researcher Donald Michie in 1961. It was designed to play human opponents in games of noughts and crosses (tic-tac-toe) by ...
Treblecross. Treblecross is a degenerate tic-tac toe variant. [1] The game is an octal game, [2] [3] played on a one-dimensional board and both players play using the same piece (an X or a black chip [4] ). [5] [1] [3] Each player on their turn plays a piece in an unoccupied space. The game is won if a player on their turn makes a line of three ...
Quantum tic-tac-toe. An animation of the game being played. Quantum tic-tac-toe is a " quantum generalization" of tic-tac-toe in which the players' moves are "superpositions" of plays in the classical game. The game was invented by Allan Goff of Novatia Labs, who describes it as "a way of introducing quantum physics without mathematics", and ...
Perfect play. In game theory, perfect play is the behavior or strategy of a player that leads to the best possible outcome for that player regardless of the response by the opponent. Perfect play for a game is known when the game is solved. [ 1] Based on the rules of a game, every possible final position can be evaluated (as a win, loss or draw).
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]
The classic example of a positional game is tic-tac-toe. In it, X {\displaystyle X} contains the 9 squares of the game-board, F {\displaystyle {\mathcal {F}}} contains the 8 lines that determine a victory (3 horizontal, 3 vertical and 2 diagonal), and the winning criterion is: the first player who holds an entire winning-set wins.