Square Tiling - Uniform Colorings

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)
1112(ii) 1123(ii) 1122 1123(i) 1234
c2

(2*22)
p2

(*2222)

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