Template:Hexagonal tiling table

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There are eight uniform tilings that can be based from the regular hexagonal tiling (or the dual triangular tiling). Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms, 7 which are topologically distinct. The truncated triangular tiling is topologically identical to the hexagonal tiling.

Uniform hexagonal/triangular tilings
Symmetry: [6,3], (*632) [6,3]+
(632)
[6,3+]
(3*3)
{6,3} t{6,3} r{6,3} t{3,6} {3,6} rr{6,3} tr{6,3} sr{6,3} s{3,6}
File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node h.pngFile:CDel 6.pngFile:CDel node h.pngFile:CDel 3.pngFile:CDel node h.png File:CDel node.pngFile:CDel 6.pngFile:CDel node h.pngFile:CDel 3.pngFile:CDel node h.png
File:Uniform tiling 63-t0.svg File:Uniform tiling 63-t01.svg File:Uniform tiling 63-t1.svg File:Uniform tiling 63-t12.svg File:Uniform tiling 63-t2.svg File:Uniform tiling 63-t02.svg File:Uniform tiling 63-t012.svg File:Uniform tiling 63-snub.svg File:Uniform tiling 63-h12.svg
63 3.122 (3.6)2 6.6.6 36 3.4.6.4 4.6.12 3.3.3.3.6 3.3.3.3.3.3
Uniform duals
File:1-uniform 1 dual.svg File:1-uniform 4 dual1.svg File:1-uniform 7 dual.svg File:1-uniform 1 dual.svg File:1-uniform 11 dual.svg File:1-uniform 6 dual.svg File:1-uniform 3 dual.svg File:1-uniform 10 dual.svg File:1-uniform 11 dual.svg
V63 V3.122 V(3.6)2 V63 V36 V3.4.6.4 V.4.6.12 V34.6 V36

The hexagonal/triangular tilings also exist as uniform Wythoff constructions in a half symmetry form, in the p3m1, [3[3]], (*333) symmetry group:

Uniform hexagonal/triangular tilings
Symmetry: h[6,3] = [3[3]], (*333) [3[3]]+, (333)
r{3[3]} t{3[3]} {3[3]} h{6,3} = {3[3]} h2{6,3} = r{3[3]} s{3[3]}
File:CDel node h0.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.png
= File:CDel branch 11.pngFile:CDel split2.pngFile:CDel node.png
File:CDel node h0.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.png
= File:CDel branch 11.pngFile:CDel split2.pngFile:CDel node 1.png
File:CDel node h0.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png
= File:CDel branch.pngFile:CDel split2.pngFile:CDel node 1.png
File:CDel node h1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png =
File:CDel branch 10ru.pngFile:CDel split2.pngFile:CDel node.png or File:CDel branch 01rd.pngFile:CDel split2.pngFile:CDel node.png
File:CDel node h1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png =
File:CDel branch 10ru.pngFile:CDel split2.pngFile:CDel node 1.png or File:CDel branch 01rd.pngFile:CDel split2.pngFile:CDel node 1.png
File:CDel node h0.pngFile:CDel 6.pngFile:CDel node h.pngFile:CDel 3.pngFile:CDel node h.png
= File:CDel branch hh.pngFile:CDel split2.pngFile:CDel node h.png
File:Uniform polyhedron-63-t1-1.svg File:Uniform tiling 333-t012.svg File:Uniform tiling 333-t2.svg File:Uniform tiling 333-t0.pngFile:Uniform tiling 333-t1.svg File:Uniform tiling 333-t02.svgFile:Uniform tiling 333-t12.svg File:Uniform tiling 333-snub.svg
3.6.3.6 6.6.6 3.3.3.3.3.3 3.3.3.3.3.3 3.6.3.6 3.3.3.3.3.3