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The 17 wallpaper groups :

p1 p2
pm pg
cm pmm
pmg pgg
cmm p4
p4m p4g
p3 p3m1
p31m p6
p6m

The wallpaper groups classify the symmetries of the periodic patterns you can draw on the plane. Look around you... All of the periodic pattern you will encounter fall into one of these groups.

For more informations, check the Wikipedia article. For a funny explanation of this classification, check the orbifold shop.


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