Editing Checkerboard

{{Short description|Board with an alternating square pattern on which games are played}}
[[File:Chess.board.fabric.png|thumb|A checkerboard]]
A '''checkerboard''' ([[American English]]) or '''chequerboard''' ([[British English]]) is a [[game board]] of [[check (pattern)|checkered]] pattern on which [[checkers]] (also known as [[English draughts]]) is played.<ref>{{Cite web|url=https://mathworld.wolfram.com/Checkerboard.html|title=Checkerboard|first=Eric W.|last=Weisstein|website=mathworld.wolfram.com}}</ref> Most commonly, it consists of 64 squares (8×8) of alternating dark and light color, typically green and [[Buff (colour)|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. 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==
[[File:The Childrens Museum of Indianapolis - Checkers.jpg|thumb|A game of checkers within the permanent collection of [[The Children's Museum of Indianapolis]]]]
[[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 (game)|Amazons]]
* [[Chapayev (game)|Chapayev]]
* [[Chess]] and some of its [[Chess variant|variants]] (see [[chessboard]])
* [[Czech draughts]]
* [[Draughts]], also known as checkers
* [[Fox games]]
* [[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 (board game)|Breakthrough]]
* [[Crossings (game)|Crossings]]
* [[Mak-yek]]
* [[Makruk]]
* [[Martian Chess]]

==Gallery==
<gallery mode="nolines" widths="200px">
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
</gallery>

==Mathematical description==
Given a grid with <math>m</math> rows and <math>n</math> columns, a function <math>f(m,n)</math>,

<math>
\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}
</math>

or, alternatively,

<math>
\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}
</math>

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

==Encoding==
In Unicode, checkerboard characters are encoded at various code points:
* {{unichar|2427|Symbol for delete square checker board form}}
* {{unichar|2428|Symbol for delete rectangular checker board form}}
<!--* {{unichar|2429|Symbol for delete medium shade form}}-->
* {{unichar|1F67E|Checker board}}
* {{unichar|1F67F|Reverse checker board}}
* {{unichar|1FB95|Checker board fill}}
* {{unichar|1FB96|Inverse checker board fill}}

==See also==
* [[Chessboard]]
* [[Croatian checkerboard]]
* [[Hexmap]]

==References==
{{wiktionary}}
<References/>

[[Category:Draughts]]
[[Category:Game equipment]]