Truncated hexagonal tiling
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| Truncated hexagonal tiling | |
|---|---|
 |
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| Type | Semiregular tiling |
| Faces | triangle, dodecagons |
| Edges | Infinite |
| Vertices | Infinite |
| Vertex configuration | 3.12.12 |
| Wythoff symbol | 2 3 | 6 |
| Symmetry group | p6m |
| Dual | Triakis triangular tiling |
| Properties | planar, vertex-uniform |
 Vertex Figure |
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In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each vertex. It has Schläfli symbol of t0,1{6,3} or t1,2{3,6}.
This tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex figure (3.2n.2n).
 (3.4.4) |
 (3.6.6) |
 (3.8.8) |
 (3.10.10) |
 (3.12.12) |
There are 3 regular and 8 semiregular tilings in the plane.
There is only one vertex-uniform colorings of a truncated hexagonal tiling. (Naming the colors by indices around a vertex: 122.) The coloring shown is a mixture of 3 types of colored-vertices.
[edit] See also
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