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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 ...
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 ...
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 ...
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 ...
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]
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 ...
Game tree. In the context of combinatorial game theory, which typically studies sequential games with perfect information, a game tree is a graph representing all possible game states within such a game. Such games include well-known ones such as chess, checkers, Go, and tic-tac-toe. This can be used to measure the complexity of a game, as it ...
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.