Problem Pictures 1 cover

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

If you purchase this resource the photographs are available in higher resolution and there are additional pages containing hints and solutions.

Three-coloured tile pattern

Three-coloured tile pattern

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

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

A snail crawls across the tiles visiting the colours 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.