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   » » Wiki: Checkerboard
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A checkerboard () or chequerboard () is a of checkered pattern on which (also known as ) is played. Most commonly, it consists of 64 squares (8×8) of alternating dark and light color, typically green and buff (official tournaments), black and red (consumer commercial), or black and white (printed diagrams). An 8×8 checkerboard is used to play many other games, including , whereby it is known as a . 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).


Games and puzzles using checkerboards
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 .


Gallery
File:Empty wooden chessboard.jpg|An empty 8×8 checkerboard File:Font Awesome 5 solid chess-board.svg|An empty 8×8 checkerboard diagram File:International draughts.jpg|The opening setup of international draughts, which uses a 10×10 checkerboard File:CheckersStandard.jpg| tournament standard


Mathematical description
Given a grid with m rows and n columns, a function f(m,n),

\displaystyle {f(m,n)} = \begin{cases} \text{black} & \text{if}\ m \equiv n \pmod 2 \, , \\ \text{white} & \text{if}\ m \not\equiv n \pmod 2\\ \end{cases}

or, alternatively,

\displaystyle {f(m,n)} = \begin{cases} \text{black} & \text{if}\ m + n \text{ is even}, \\ \text{white} & \text{if}\ m + n \text{ is odd} \\ \end{cases}

The element (m,n)=(0,0) is black and represents the lower left corner of the board.


Encoding
In Unicode, checkerboard characters are encoded at various code points:


See also

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