Tilings (The Geometry Junkyard)
Library Home 
Full Table of Contents 
Library Help
http://www.ics.uci.edu/~eppstein/junkyard/tiling.html  


David Eppstein, Theory Group, ICS, UC Irvine  
An extensive annotated list of links to material on tilings. One way to define a tiling is a partition of an infinite space (usually Euclidean) into pieces having a finite number of distinct shapes. Tilings can be divided into two types, periodic and aperiodic, depending on whether they have any translational symmetries. If these symmetries exist, they form a lattice. There has been much recent research on aperiodic tilings (which lack such symmetries) and their possible realization in certain crystal structures. Tilings also have connections to much of pure mathematics including operator Ktheory, dynamical systems, and noncommutative geometry.  


Levels:  High School (912), College, Research 
Languages:  English 
Resource Types:  Link Listings 
Math Topics:  Transformational Geometry, Symmetry/Tessellations 
[Privacy Policy] [Terms of Use]
© 1994 The Math Forum at NCTM. All rights reserved.
http://mathforum.org/