Plane Symmetry Group Examples
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Plane Symmetry Group 01 
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Plane Symmetry Group 02 
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Plane Symmetry Group 03 
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Plane Symmetry Group 04 
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Plane Symmetry Group 05 

The Plane Symmetry Group examples generate wallpaper
patterns by passing the results of an
attractor through a symmetry transformation that implements a
plane symmetry
group. A plane symmetry group is a mathematical classification of a pattern used
to tile the plane. Each such pattern belongs to exactly one of the 17 plane
symmetry groups. These are also referred to as wallpaper groups.
If we apply a symmetry transformation based on one of the plane symmetry groups
to an attractor, we can tile the complex plane with the attractor.
Depending on the size, position, and angle of the lattice associated with the
symmetry group relative to the attractor, you can generate countless different
patterns from a single attractor.
Plane symmetry groups are described in the book Symmetries of Culture 
Theory and Practice of Plane Pattern Analysis by
Dorothy K. Washburn and Donald W. Crowe.
