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The 0x88 chess board representation is a square-centric method of representing the chess board in computer chess programs. The number 0x88 is a hexadecimal integer (136 10, 210 8, 10001000 2). The rank and file positions are each represented by a nibble (hexadecimal digit), and the bit gaps simplify a number of computations to bitwise operations.
Some chess variants use more than a single board per match. Bughouse chess, for example, involves four players playing two simultaneous matches on separate boards. [18] Alice Chess is a popular variant which is usually played on two boards to facilitate the movement of pieces between the boards. [19]
A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics . The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics .
Board representation in computer chess is a data structure in a chess program representing the position on the chessboard and associated game state. [1] Board representation is fundamental to all aspects of a chess program including move generation, the evaluation function, and making and unmaking moves (i.e. search) as well as maintaining the state of the game during play.
For instance, the n+k dragon kings problem asks to place k shogi pawns and n+k mutually nonattacking dragon kings on an n×n shogi board. [12] Nonstandard boards Pólya studied the n queens problem on a toroidal ("donut-shaped") board and showed that there is a solution on an n×n board if and only if n is not divisible by 2 or 3. [13] Domination
In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard.Each vertex of a rook's graph represents a square on a chessboard, and there is an edge between any two squares sharing a row (rank) or column (file), the squares that a rook can move between.
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