Comments on Penrose tilings and quasicrystals

An example of a Penrose tiling.

At the Geometry Center at the University of Minnesota you can connect to a computer program Quasitiler 3.0 which will create Penrose tilings to order.

There is a large literature on this subject. A popular article:

P.W. Stephens and A.I. Goldman
The structue of quasicrystals
Scientific American vol 264, April 1991, 24 - 31
The most recent book:

Marjorie Senechal
Quasicrystals and geometry
Cambridge University Press 1996
Reviewed by C Radin
and the original discovery of quasicrystals:

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, 
Phys. Rev. Lett. 53 (1984), 1951-1953.