One and two color quilts patterns
This page contains (old) examples of all of the one and two-color planar
repeating patterns. For newer examples, go to the Gallery
of symmetric chaos and follow the links to square and hexagonal quilts.
All the patterns shown here were generated using the software package
prism (© Michael Field, 1996). The algorithms used were based on
methods of random dynamical systems and were developed in
collaboration with
Martin Golubitsky.
For pattern generation based on
methods of `deterministic chaos', see the book
Symmetry in Chaos. by
Michael Field and
Martin Golubitsky
(Oxford University Press, 1992) as well the articles
`Harmony, Chromatics, and Chaos', In: Proc. Bridges Conference, 1999,
Southwestern College, Kansas, 1-21; and `Designer chaos',
J. Computer Aided Design, vol 33, to appear 2001.
Throughout, we follow the notation for one and two color
patterns described in Symmetries of Culture, Theory and Practice of Plane Pattern Analysis,
by Washburn and Crowe (University of Washington
Press, Seattle, 1988).
Under the heading of One Color Quilt patterns
we show examples of 16 of the 17 one color wallpaper patterns.
(We omit the pattern p1, which only has translational
symmetry.)
We also show, under the heading
of Two Color Quilt Patterns
examples of 45 of the 46 two color patterns
(again, we omit
the trivial two color pattern).
Note all the one and two color images are intended just to be
examples of each pattern type and so coloring is designed to show just the pattern.
For examples of colored one color quilts (of types pmm and
p4g), and
a `colored' two color quilt (of type p´ 6mm´)
click on Colored quilt patterns
Gallery.
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