17 Wallpaper Groups

17 Wallpaper Groups - KEY 180 degree pivot 120 degree pivot  90 degree pivot 60 degree pivot Underlying grid  Reflection axis Glide Reflection axis -     p1 Orbifold: o Grid Translation along1st axis Translation along 2nd axis Translations llustrated because this has only translational symmetry p2 Orbifold: 2222 Grid and pivot points corners side centers face centers -       p3 Orbifold: 333 Grid and pivot points 1st set of corners 2nd set of corners face centers p4 Orbifold: 442 Grid and pivot points   corners side centers face centers p6 Orbifold: 632 Grid and pivot points corners side centers face centers -           pm Orbifold: ** Grid & reflections 1st reflection 2nd reflection pg Orbifold: xx Grid & reflections 1st glide reflection 2nd glide reflection cm Orbifold: x* Grid  Reflection Glide Reflection Reflection pmm Orbifold: *2222 Grid Ref 1    Ref 2 Ref 3    Ref4 1st set corners 2nd set corners

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• Dorothy Chrisman