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Problem of the Week 987

Skewed Area

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Remove the central "square" from a skewed 5-by-5 chessboard. True or False: The white area equals the black area?

By a skewed chessboard we mean: Take any convex quadrilateral and divide each side into 5 equal-length pieces; connect corresponding points on opposite sides and color them in the usual alternating way.

View the Mathematica code used by Stan to generate the graphic above.

© Copyright 2003 Stan Wagon. Reproduced with permission.

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2 September 2003