Small rhombitrihexagonal tiling
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Small rhombitrihexagonal tiling | |
---|---|
Type | Semiregular tiling |
Faces | triangle, squares and hexagons |
Edges | Infinite |
Vertices | Infinite |
Vertex configuration | 3.4.6.4 |
Wythoff symbol | 3 6 | 2 |
Symmetry group | p6m |
Dual | Deltoidal trihexagonal tiling |
Properties | planar, vertex-uniform |
Vertex Figure |
In geometry, the Small rhombitrihexagonal tiling (or just rhombitrihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has Schläfli symbol of t0,2{3,6}.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4).
(3.4.3.4) |
(3.4.4.4) |
(3.4.5.4) |
(3.4.6.4) |
An ornamental version of this tiling
There is only one vertex-uniform colorings in a small rhombitrihexagonal tiling. (Naming the colors by indices around a vertex (3.4.6.4): 1232.)