Trihexagonal tiling
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| Trihexagonal tiling | |
|---|---|
 |
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| Type | Semiregular tiling |
| Faces | triangle, hexagons |
| Edges | Infinite |
| Vertices | Infinite |
| Vertex configuration | 3.6.3.6 |
| Wythoff symbol | 2 | 3 6 |
| Symmetry group | p6m |
| Dual | Quasiregular rhombic tiling |
| Properties | planar, vertex-uniform |
 Vertex Figure |
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In geometry, the trihexagonal tiling is a semiregular tiling of the Euclidean plane. There are two triangles and two hexagons alternating on each vertex. It has Schläfli symbol of t1{6,3}.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is topologically related as a part of sequence of rectified polyhedra with vertex figure (3.n.3.n). In this sequence, the edges project into great circles of a sphere on the polyhedra and infinite lines in the planar tiling.
 (3.3.3.3) |
 (3.4.3.4) |
 (3.5.3.5) |
 (3.6.3.6) |
There are two distinct vertex-uniform colorings of a trihexagonal tiling. (Naming the colors by indices on the 3 hexagons around a vertex (3.6.3.6): 1212, 1232.)
[edit] See also
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