Computer Graphics

University of California - Berkeley

Intricate Isohedral Tilings of 3D Euclidean Space


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. "Intricate Isohedral Tilings of 3D Euclidean Space". Bridges Conference, Leeuwarden, The Netherlands, pages 139–148, July 2008.