Patterns and tilings arranged by their symmetry groups

Each link leads to a page where you can compare different patterns with the same symmetry group.
You will see the same pattern showing up in different places over a period of thousands of years, in some cases.
In other cases you will see remarkably different patterns that share the same symmetry group.

p6 p4 pmg p6m   p2   p3
p3m1  cm  pm pmm

pgg

pg

p1

p31m  p4g p4m cmm

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