Comments on tilings and quasicrystals
At the Geometry Center at the University of Minnesota you
can connect to a computer program Quasitiler
which will create tilings to order.
There is a large literature on the subjects of tilings and
quasicrystals, from mathematical and physical aspects.
A popular introduction:
P.W. Stephens and A.I. Goldman
The structue of quasicrystals
Scientific American vol 264, April 1991, 24 - 31
Recent books on the mathematical aspects of this field:
Quasicrystals and geometry
Cambridge University Press 1996
Miles of Tiles
American Mathematical Society 1999
A book on the physics:
Quasicrystals: a primer, 2. ed
Oxford UP 1997
The original discovery of quasicrystals was published in:
D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn,
Phys. Rev. Lett. 53 (1984), 1951-1953.
Below, an example of a Penrose tiling.