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Après Kepler ... Sir Roger Penrose

**Caspar & Fontano**
Kepler's tiling with pentagons and decagons and a P = 34 pentiling generated
from Kepler's matrix.

Sarah, Juli and Mark Penrose Tiling quilt.

Lisbeth G Clemens This quilt was designed and crafted
in the summer, 1993

**Ivars Peterson**
Clusters and Decagons, New rules for constructing a quasicrystal

Pentaplex the home of seriously perplexing products

Kadon Enterprises Investigating the strange phenomena of five-fold symmetry.

Karen Wiedman / Rashomond Penrose Tilings and the Golden Mean

Quasitiler QuasiTiler draws Penrose tilings and their
generalizations. This document explains the interesting geometry involved
in the processes.

The concepts involved are surprisingly simple. The only apparent hurdle
that we have to overcome is working in spaces with more than 3 dimensions.

However in the next section we start with examples in 2 and 3 dimensions
where our intuition is useful. Then we extend the same concepts to more
dimensions.

Steffen Weber This page is meant to be a short introduction
to the field of Quasicrystals in order to educate the interested reader
on some basic concepts in this

relatively new branch of Crystallography. The more advanced reader
may proceed to other sites and sources on quasicrystals.

This page is intended for those having no prior knowledge in this field.

Ron Lifshitz. Condensed Matter Physics. California Institute of Technology. The Symmetry of Quasicrystals.

E. Arthur Robinson, Jr. Research related pictures

Here is a a picture of a Penrose tiling colored to indicate the presence
of a Z^2 section.

Miami University. History of the Penrose Tiling - Bachelor Hall
The tiling was installed in 1979 and is believed to be the first Penrose
tiling

incorporated in the design of a public building.

Fractint L-System Tilings, A tutorial by William McWorter

**HAADF Image**
"Structural Study of Al72Ni20Co8 Decagonal Quasicrystal by High-angle Annular
Dark-field Image method"

by K. Saitoh, K. Tsuda, M. Tanaka and A. P. Tsai,

Japanese Journal of Applied Physics, Vol.36 (1997) L1400 - L1402.

Brian Hayes Digital Diffraction

**David E. Joyce**
: Hyperbolic Tessellations

The Association of Teachers of Mathematics
Practical resources, Extensively used from infant to post 16

MATHEMATICAL ACTIVITY TILES (MATs)

Ron Knott Fascinating Flat Facts about Phi

On this page we meet some of the marvellous flat (that is, two dimensional)
geometry facts related to the golden section number Phi.