Polygons and PolyhedraEscher

Tessellations in Art

Many artists, architects and designers use tessellations in their work. One of the most famous examples is the Dutch artist M. C. Escher. His works contain strange, mutating creatures, patterns and landscapes:

“Sky and Water I” (1938)

“Lizard” (1942)

“Lizard, Fish, Bat” (1952)

“Butterfly” (1948)

“Two Fish” (1942)

“Shells and Starfish” (1941)

These artworks often look fun and effortless, but the underlying mathematical principles are the same as before: angles, rotations, translations and polygons. If the maths isn’t right, the tessellation is not going to work!

“Metamorphosis II” by M. C. Escher (1940)