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GeezerVison is showing en.wikipedia.org — Checkerboard - Wikipedia

For the pattern, see Checkerboard pattern.
A checkerboard

A checkerboard (American English) or chequerboard (British English) is a game board of checkered pattern on which checkers (also known as English draughts) is played.[1] 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. In The Netherlands, a dambord (checker board) has 10 rows and 10 columns for 100 squares in total (see article International draughts). Other rectangular square-tiled boards are also often called checkerboards.

Games and puzzles using checkerboards

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
  • Chapayev
  • Chess and some of its variants (see chessboard)
  • Czech draughts
  • Checkers, also known as draughts
  • 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
  • Crossings
  • Mak-yek
  • Makruk
  • Martian Chess

Gallery

  • An empty 8×8 checkerboard
    An empty 8×8 checkerboard
  • An empty 8×8 checkerboard diagram
    An empty 8×8 checkerboard diagram
  • The opening setup of international draughts, which uses a 10×10 checkerboard
    The opening setup of international draughts, which uses a 10×10 checkerboard
  • English draughts tournament standard
    English draughts tournament standard

Mathematical description

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

f(m,n)={blackif m≡n(mod2),whiteif m≢n(mod2)

or, alternatively,

f(m,n)={blackif m+n is even,whiteif m+n is odd

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:

  • U+2427 ␧ SYMBOL FOR DELETE SQUARE CHECKER BOARD FORM
  • U+2428 ␨ SYMBOL FOR DELETE RECTANGULAR CHECKER BOARD FORM
  • U+1F67E 🙾 CHECKER BOARD
  • U+1F67F 🙿 REVERSE CHECKER BOARD
  • U+1FB95 🮕 CHECKER BOARD FILL
  • U+1FB96 🮖 INVERSE CHECKER BOARD FILL

See also

  • Chessboard
  • Croatian checkerboard
  • Hexmap
  • Warenne Check

References

Wiktionary logo
Look up checkerboard in Wiktionary, the free dictionary.
  1. ↑ Weisstein, Eric W. "Checkerboard". mathworld.wolfram.com.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Checkerboard&oldid=1381919355"
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