Checkerboard

A checkerboard (American English) or chequerboard (British English; see spelling differences) is a 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. Other rectangular square-tiled boards are also often called checkerboards.

A checkerboard

Games and puzzles using checkerboardsEdit

 
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:

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

Mathematical descriptionEdit

Given a grid with   rows and   columns, a function  ,

 

or, alternatively,

 

The element   is black and represents the lower left corner of the board.

GalleryEdit

See alsoEdit

ReferencesEdit

  1. ^ Weisstein, Eric W. "Checkerboard". mathworld.wolfram.com.