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Notakto. 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 ...
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 ...
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 game can be generalised even further from the above variants by playing on an ...
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 ...
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 ...
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 ...
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.
Ultimate tic-tac-toe (also known as super tic-tac-toe, meta tic-tac-toe or (tic-tac-toe)² [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 tic-tac-toe, strategy in this game ...