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In contemporary chess, a digital board is a chess board connected to a computer that is capable of transmitting the moves to the computer itself: the information about the moves can be used to play a game against a chess engine, or simply to record the moves sequence of a game in automatic.
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 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]
A brute-force search for a knight's tour is impractical on all but the smallest boards. [18] On an 8 × 8 board, for instance, there are 13,267,364,410,532 knight's tours, [14] and a much greater number of sequences of knight moves of the same length. It is well beyond the capacity of modern computers (or networks of computers) to perform ...
This is equal to the square of the number of grains on the first half of the board, plus itself. The first square of the second half alone contains one more grain than the entire first half. On the 64th square of the chessboard alone, there would be 2 63 = 9,223,372,036,854,775,808 grains, more than two billion times as many as on the first ...
Checkers [note 1] (American English), also known as draughts (/ d r ɑː f t s, d r æ f t s /; British English), is a group of strategy board games for two players which involve forward movements of uniform game pieces and mandatory captures by jumping over opponent pieces.