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Chessboard. A wooden chessboard with Staunton pieces. A chessboard is a game board used to play chess. It consists of 64 squares, 8 rows by 8 columns, on which the chess pieces are placed. It is square in shape and uses two colours of squares, one light and one dark, in a chequered pattern. During play, the board is oriented such that each ...
The mutilated chessboard problem is an instance of domino tiling of grids and polyominoes, also known as "dimer models", a general class of problems whose study in statistical mechanics dates to the work of Ralph H. Fowler and George Stanley Rushbrooke in 1937. [1] Domino tilings also have a long history of practical use in pavement design and ...
The Chebyshev distance between two vectors or points x and y, with standard coordinates and , respectively, is. This equals the limit of the L p metrics : hence it is also known as the L ∞ metric. Mathematically, the Chebyshev distance is a metric induced by the supremum norm or uniform norm. It is an example of an injective metric .
Three-dimensional chess. Kubikschach 8×8×8 gamespace. Three-dimensional chess (or 3‑D chess) is any chess variant that replaces the two-dimensional board with a three-dimensional array of cells between which the pieces can move. In practice, this is usually achieved by boards representing different layers being laid out next to each other.
Grand Chess is a large-board chess variant invented by Dutch games designer Christian Freeling in 1984. [1] [2] It is played on a 10×10 board, with each side having two additional pawns and two new pieces: the marshal and the cardinal . The marshal (M) combines powers of a rook and a knight. The cardinal (C) combines powers of a bishop and a ...
Grid chess sample position. Grid chess is a chess variant invented by Walter Stead in 1953. [1] It is played on a grid board. This is a normal 64-square chessboard with a grid of lines further dividing it into larger squares. A single additional rule governs Grid chess: for a move to be legal, the piece moved must cross at least one grid line.
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