Problem Pictures
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PP1 CD-ROM cover

This picture is taken from the Problem Pictures CD-ROM of photographs with activities for mathematics teaching.

Three-colored tile pattern

This pattern uses square tiles of three different colors. They are arranged so that two tiles of the same color never touch along an edge. The pattern uses equal numbers of the three colors.

Design a different pattern that also uses equal numbers of square tiles in three colors. The same color must never touch along an edge.

A snail crawls across the tiles visiting the colors in order: red, yellow, black, red, yellow, black...

Is it possible for the snail to visit every tile?

The photograph was taken in a church porch, Devon, England.


The photographs and screen images on this website are copyright and may not be reproduced without permission. Copyright Richard Phillips 2001/2008. Page updated 27 November 2008.