A board is a subset of the polygons determined by a number of (usually regularly spaced and oriented) lines. These polygons form the spaces on which "pieces" can be placed and move in many games (called board games). The simplest division the plane is into equal squares. The 3×3 square board is used in tic-tac-toe. The 8×8 square board is used in checkers and chess. Go is played on a board in which pieces are placed on the intersections (as opposed to the squares bounded by the grid lines) of a set of 19×19 equally spaced lines on a square grid.

Hexagonal boards are used in some games. Chinese checkers uses a board in the space of a hexagram with spaces at the vertices of a regular triangular tiling.

See also

Board Game, Checkerboard, Checkers, Chess, Chessboard, Chinese Checkers, Go, Grid, Minesweeper, Rook Number, Tic-Tac-Toe

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Bell, R. C. Board and Table Games from Many Civilizations. New York: Dover, 1980.Gardner, M. "Four Unusual Board Games." Ch. 5 in The Sixth Book of Mathematical Games from Scientific American. Chicago, IL: University of Chicago Press, pp. 39-47, 1984.Murray, H. J. R. A History of Board-Games Other than Chess. New York: Oxford University Press, 1952.Parlett, D. The Oxford History of Board Games. Oxford, England: Oxford University Press, 1999.Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, p. 10, 1999.

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Cite this as:

Weisstein, Eric W. "Board." From MathWorld--A Wolfram Web Resource.

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