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For example, Raumschach utilises five boards of twenty-five squares each, totaling 125 squares. [20] Another noteworthy variant, Star Trek Chess, utilises a board of sixty-four squares divided into seven levels. [21] Star Trek Chess uses a board with movable parts divided into seven levels. In the initial position, each player occupies two of ...
With 64 squares on a chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8 + ... and so forth for the 64 squares. The total number of grains can be shown to be 2 64 −1 or 18,446,744,073,709,551,615 (eighteen quintillion, four hundred forty-six quadrillion, seven hundred ...
The vertical columns of squares, called files, are labeled a through h from White's left (the queenside) to right (the kingside). The horizontal rows of squares, called ranks, are numbered 1 to 8 starting from White's side of the board. Thus each square has a unique identification of file letter followed by rank number.
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.
Given an n×n board, the domination number is the minimum number of queens (or other pieces) needed to attack or occupy every square. For n = 8 the queen's domination number is 5. [ 14 ] [ 15 ]
An 8×8 checkerboard is used to play many other games, including chess, whereby it is known as a chessboard. Other rectangular square-tiled boards are also often called checkerboards. In The Netherlands, however, a dambord (checker board) has 10 rows and 10 columns for 100 squares in total (see article International draughts).
The board is any subset of the squares of a rectangular board with m rows and n columns; we think of it as the squares in which one is allowed to put a rook. The board is the ordinary chessboard if all squares are allowed and m = n = 8 and a chessboard of any size if all squares are allowed and m = n.
A dominating set of the queen's graph corresponds to a placement of queens such that every square on the chessboard is either attacked or occupied by a queen. On an chessboard, five queens can dominate, and this is the minimum number possible [4]: 113–114 (four queens leave at least two squares unattacked). There are 4,860 such placements of ...
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