Rhombitrihexagonal tiling

Rhombitrihexagonal tiling
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

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}.

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.

  1. ^ Conway, 2008, p288 table