thumb|A checkerboard A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of chequered pattern on which draughts (checkers) 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 chess, whereby it is known as a chessboard.
Other rectangular square-tiled boards are also often called checkerboards.
Games and puzzles using checkerboards
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:
Amazons
Chapayev
Chess and some of its variants (see chessboard)
Czech draughts
Draughts, also known as checkers
Frisian draughts
Gounki
International draughts
Italian draughts
Lines of Action
Pool checkers
Russian checkers
The following games require an 8×8 board and are sometimes played on a chessboard.
Arimaa
Breakthrough
Crossings
Mak-yek
Makruk
Martian Chess
Mathematical description
Given a matrix with m rows and n columns, a function f(m,n),
\displaystyle {f(m,n)} = \begin{cases} \text{black} & \text{if}\ m \wedge 1 = n \wedge 1 \, , \\ \text{white} & \text{if}\ m \wedge 1 \ne n \wedge 1 \\ \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.
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|English draughts tournament standard See also
Chessboard
References
