Problem of the Week 853

A Nonstandard Coloring of a Checkerboard

Spring 98 Archive || MacPOW Home || Math Forum POWs || Search MacPOW

Color each square of a 6x6 checkerboard either black and white so that each square is a neighbor of an odd number of black squares. Here "neighbor" includes squares that touch only on a corner. A square is not considered to be a neighbor of itself.

Variation for enthusiasts: What if 6 is replaced by n?

Source: 1995 Quebec Math Contest, Crux Math. Nov 1997.

© Copyright 1998 Stan Wagon. Reproduced with permission.

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help 

© 1994- The Math Forum at NCTM. All rights reserved.

The Math Forum

2 October 1998