Rhombitrihexagonal tiling
Semiregular tiling of the Euclidean plane / From Wikipedia, the free encyclopedia
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In geometry, the 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 rr{3,6}.
Rhombitrihexagonal tiling | |
---|---|
Type | Semiregular tiling |
Vertex configuration | 3.4.6.4 |
Schläfli symbol | rr{6,3} or |
Wythoff symbol | 3 | 6 2 |
Coxeter diagram | |
Symmetry | p6m, [6,3], (*632) |
Rotation symmetry | p6, [6,3]+, (632) |
Bowers acronym | Rothat |
Dual | Deltoidal trihexagonal tiling |
Properties | Vertex-transitive |
John Conway calls it a rhombihexadeltille.[1] It can be considered a cantellated by Norman Johnson's terminology or an expanded hexagonal tiling by Alicia Boole Stott's operational language.
There are three regular and eight semiregular tilings in the plane.