Computer Graphics

University of California - Berkeley

Symmetric Embedding of Locally Regular Hyperbolic Tilings


Various methods to create intricate tilings of 3D space are presented. They include modulated extrusions of 2D Escher tilings, free-form deformations of the fundamental domain of various 3D symmetry groups, highly symmetrical polyhedral toroids of genus 1, higher-genus cage structures derived from the cubic lattice as well as from the diamond and triamond lattices, and finally interlinked tiles with the connectivity of simple knots.


Carlo H. Séquin. "Symmetric Embedding of Locally Regular Hyperbolic Tilings". Bridges Conference, San Sebastian, Spain, pages –, July 2007.