Problem of the Week 987

Skewed Area

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.

2 September 2003