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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.
Bertie the Brain was a video game version of tic-tac-toe, built by Dr. Josef Kates for the 1950 Canadian National Exhibition. [1] Kates had previously worked at Rogers Majestic designing and building radar tubes during World War II, then after the war pursued graduate studies in the computing center at the University of Toronto while continuing to work at Rogers Majestic. [2]
Hence, every winning-strategy of First in a strong-positional game is also a winning-strategy of Maker in the corresponding maker-breaker game. The opposite is not true. For example, in the maker-breaker variant of Tic-Tac-Toe, Maker has a winning strategy, but in its strong-positional (classic) variant, Second has a drawing strategy. [2]
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]
This is in contrast to the classic variant (which is a Strong positional game) where the second player has a drawing strategy (see Strong positional game#Comparison to Maker-Breaker game). Unordered CNF Game [ 2 ] on a positive CNF (all positive literals) can be considered as a Maker-Breaker game where Maker wants to falsify the CNF, and ...
This chart had drawings of tic-tac-toe game grids with various configurations of X, O, and empty squares, [4] corresponding to all possible permutations a game could go through as it progressed. [11] After removing duplicate arrangements (ones that were simply rotations or mirror images of other configurations), MENACE used 304 permutations in ...
Ultimate tic-tac-toe (also known as UTT, 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 ...
3-D Tic-Tac-Toe played with glass beads. 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.
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