Uniform Colorings
There are 9 distinct uniform colorings of a square tiling. (Naming the colors by indices on the 4 squares around a vertex: 1111, 1112(i), 1112(ii), 1122, 1123(i), 1123(ii), 1212, 1213, 1234. (i) cases have simple reflection symmetry, and (ii) glide reflection symmetry.)
| 1111 | 1112(i) | 1212 | 1213 | |
|---|---|---|---|---|
| p4m (*442) |
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| 1112(ii) | 1123(ii) | 1122 | 1123(i) | 1234 |
| c2 (2*22) |
p2 (*2222) |
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“Truly man is a marvelously vain, diverse, and undulating object. It is hard to found any constant and uniform judgment on him.”
—Michel de Montaigne (1533–1592)
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