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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 ...
Incidence structure for tic-tac-toe. The game can be generalized to an m,n,k-game, in which two players alternate placing stones of their own color on an m-by-n board with the goal of getting k of their own color in a row. Tic-tac-toe is the 3,3,3-game. [5] Harary's generalized tic-tac-toe is an even broader generalization of tic-tac-toe.
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 ...
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 ...
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 ...
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 ...
Gomoku, also called Five in a Row, is an abstract strategy board game. It is traditionally played with Go pieces (black and white stones) on a 15×15 Go board [1] [2] while in the past a 19×19 board was standard. [3] [4] Because pieces are typically not moved or removed from the board, gomoku may also be played as a paper-and-pencil game. The ...
The game tree size is the total number of possible games that can be played: the number of leaf nodes in the game tree rooted at the game's initial position.. The game tree is typically vastly larger than the state space because the same positions can occur in many games by making moves in a different order (for example, in a tic-tac-toe game with two X and one O on the board, this position ...