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Harary's generalized tic-tac-toe is an even broader generalization of tic-tac-toe. It can also be generalized as an n d game , specifically one in which n = 3 and d = 2. [ 6 ] It can be generalised even further by playing on an arbitrary incidence structure , where rows are lines and cells are points .
Tic-Tac-Toe is a game where the player places a letter (either an X or an O) on part of the board, which consists of a 3×3 grid. The aim of the game is to complete 3 squares in a row, either vertically, horizontally, or diagonally.
Each box had a code number, which was keyed into a chart. 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]
A n d game (or n k game) is a generalization of the combinatorial game tic-tac-toe to higher dimensions. [1] [2] [3] It is a game played on a n d hypercube with 2 players. [1] [2] [4] [5] If one player creates a line of length n of their symbol (X or O) they win the game. However, if all n d spaces are filled then the game is a draw. [4]
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The first player to claim all of the elements of a winning set wins. If the game ends with all elements of the board claimed, but no player has claimed all elements of a winning set, it is a draw. An example is classic tic-tac-toe. Maker-Breaker game The two players are called Maker and Breaker. Maker wins by claiming all elements of a winning set.
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 ...
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