Rhombitrihexagonal tiling

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

TypeSemiregular tiling
Vertex configuration
3.4.6.4
Schläfli symbolrr{6,3} or
Wythoff symbol3 | 6 2
Coxeter diagram
Symmetryp6m, [6,3], (*632)
Rotation symmetryp6, [6,3]+, (632)
Bowers acronymRothat
DualDeltoidal trihexagonal tiling
PropertiesVertex-transitive

John Conway calls it a rhombihexadeltille. 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.

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