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词条 Checkerboard
释义

  1. Gallery

  2. Mathematical description

  3. Games and puzzles using checkerboards

  4. References

A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of chequered pattern on which draughts (checkers) 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.

Gallery

Mathematical description

Given a matrix with rows and columns, a function ,

or, alternatively,

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

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

References

{{wiktionary}}

2 : Board game gameplay and terminology|Game equipment

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