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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Famous quotes containing the word uniform:
“The sugar maple is remarkable for its clean ankle. The groves of these trees looked like vast forest sheds, their branches stopping short at a uniform height, four or five feet from the ground, like eaves, as if they had been trimmed by art, so that you could look under and through the whole grove with its leafy canopy, as under a tent whose curtain is raised.”
—Henry David Thoreau (1817–1862)
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