M.C. Escher's use of the Poincaré Models of Hyperbolic Geometry

Abstract

The artist M.C. Escher was the first artist to create patterns in the hyperbolic plane. He used both the Poincaré disk model and the Poincaré half-plane model of hyperbolic geometry. We discuss some of the theory of hyperbolic patterns and show Escher-inspired designs in both of these models. © Springer-Verlag Berlin Heidelberg 2012.