Checkerboard

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An empty 8×8 checkerboard

A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of chequered pattern on which draughts (checkers) is played.[1] Most commonly, it consists of 64 squares (8×8) of alternating dark and light color, often black and white. 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.

Mathematical Description[edit]

An empty 8×8 checkerboard diagram

Given a matrix with rows and columns, a function ,

returns true if the cell is white and false if the cell is black. The element is black.

Games and puzzles using checkerboards[edit]

The opening setup of international draughts, which uses a 10×10 checkerboard

Martin Gardner featured puzzles based on checkerboards in his November 1962 Mathematical Games column in Scientific American. A square checkerboard with an alternating pattern is used for games including:

The following games require an 8×8 board and are sometimes played on a chessboard.

References[edit]