Hyperbolic Geometry in M. C. Escher Artworks

Hyperbolic geometry has been used as the inspiration for many artworks, patterns, and buildings. Bold artists like M. C. Escher have created artworks on the hyperbolic plane. These artworks are unique and interesting due to their symmetric and repetitive nature, as well as their strong mathematical structure. We will provide an introduction to hyperbolic geometry and describe how these intricate artworks can be built from hyperbolic constructions. Also, an overview of the symmetric properties of M. C. Escher\u27s four hyperbolic circle limits will be given