Catalog of colorings
1. Wallpaper group2. Chaim Goodman-Strauss colored group3. Grünbaum–Shephard patternUp to 3 colors
Pattern thumbnails: Eric W. Weisstein, “Wallpaper Groups,” MathWorld; created with Artlandia SymmetryWorks. © Wolfram Research. Labels use Conway orbifold notation.
◦p1
Translations only.
2222p2
Four order-2 cone points.
∗∗pm
Two mirror boundaries.
××pg
Two crosscaps; glide reflections, no mirrors.
∗×cm
One mirror boundary and one crosscap.
∗2222pmm
Four order-2 mirror corners.
22∗pmg
Two order-2 cone points and one mirror boundary.
22×pgg
Two order-2 cone points and one crosscap.
2∗22cmm
One order-2 cone point and two order-2 mirror corners.
442p4
Order-4, order-4, and order-2 cone points.
∗442p4m
Order-4, order-4, and order-2 mirror corners.
4∗2p4g
One order-4 cone point and one order-2 mirror corner.
333p3
Three order-3 cone points.
∗333p3m1
Three order-3 mirror corners.
3∗3p31m
One order-3 cone point and one order-3 mirror corner.
632p6
Order-6, order-3, and order-2 cone points.
∗632p6m
Order-6, order-3, and order-2 mirror corners.