ABSTRACT

The mathematics of tessellation, or tiling of the plane, is present in art and visual design in our world. The Dutch graphic artist, M. C. Escher,1

used tessellation in many of his famous prints. Escher first saw these patterns in the tiled and decorated surfaces of the Alhambra, a palace in Grenada, Spain. He sketched these patterns and was inspired to mimic them using animate objects in his repeating designs. If we look carefully at his patterns, we see that he relied on polygons as the basic unit of his designs, and then altered the polygons in such a way that their new edges interlocked.