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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“When a uniform exercise of kindness to prisoners on our part has been returned by as uniform severity on the part of our enemies, you must excuse me for saying it is high time, by other lessons, to teach respect to the dictates of humanity; in such a case, retaliation becomes an act of benevolence.”
—Thomas Jefferson (1743–1826)
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