Computer Graphics

University of California - Berkeley

My Search for Symmetrical Embeddings of Regular Maps


Various approaches are discussed for obtaining highly symmetrical and aesthetically pleasing space models of regular maps embedded in surfaces of genus 2 to 5. For many cases, geometrical intuition and preliminary visualization models made from paper strips or plastic pipes are quite competitive with exhaustive computer searches. A couple of particularly challenging problems are presented as detailed case studies. The symmetrical patterns discovered could be further modified to create Escher-like tilings on low-genus handle bodies.


Carlo H. Séquin. "My Search for Symmetrical Embeddings of Regular Maps". Bridges Conference, Pécs, Hungary, pages 85–94, July 2010.