Aperiodic Tiling

This section of the website is  grouped into modules, mostly of 4 or 5 pages each.  The modules can be read in any order, but if you are new to this subject, you should start at the beginning.

Introduction and brief history

Penrose Tilings


Empires and Amman Bars

Index Sequences

Most of the material here is adapted from Tilings and Patterns, by Branko Grunbaum and G.C.Shephard, ©1987, Freeman and Company, reprinted by Dover in 2013.  I owe a deep debt to Professor Grunbaum for allowing me to reproduce portions of this work.  More concise introductions can be found in Martin Gardner's Penrose Tiles to Trapdoor Ciphers ...and the Return of Dr. Matrix, © 1997 MAA, and in Old and New Unsolved Problems in Plane Geometry and Number Theory by Victor Klee & StanWagon, © 1991 MAA.

Main page of Tiling Plane & Fancy  |  definitions  |  the 17 Plane Symmetry groups  |  references  |  links  |  tilings arranged by symmetry group  |  color tiling  |  Pythagorean theorem  

Site maintained and © 2000-2015 Steve Edwards home page  sedwar77@kennesaw.edu   Kennesaw State University, Marietta GA