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Small rhombitrihexagonal tiling

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Small rhombitrihexagonal tiling
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
Small rhombitrihexagonal tiling
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.)

[edit] See also


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