# Small rhombitrihexagonal tiling

Small rhombitrihexagonal tiling Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSrothat
Coxeter diagramx6o3x (     )
Elements
Faces2N triangles, 3N squares, N hexagons
Edges6N+6n
Vertices6N
Vertex figureIsosceles trapezoid, edge lengths 1, 2, 3, 2
Measures (edge length 1)
Vertex density$2(2\sqrt3-3) \approx 0.92820$ Related polytopes
ArmySrothat
RegimentSrothat
DualDeltoidal trihexagonal tiling
ConjugateQuasirhombitrihexagonal tiling
Abstract & topological properties
Flag count48N
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryV3
ConvexYes
NatureTame

The small rhombitrihexagonal tiling, or srothat, also called simply the rhombitrihexagonal tiling, is one of the eleven convex uniform tilings of the Euclidean plane. 1 triangle, 1 hexagon, and 2 squares join at each vertex of this tiling. It can be formed by expanding the faces of either the triangular tiling or its dual hexagonal tiling outward..

## Representations

A small rhombitrihexagonal tiling has the following Coxeter diagrams:

• x6o3x (     ) (full symmetry)
• x6s3s (     ) (as edge-snub triangular tiling)

## Related tilings

The small rhombitrihexagonal tiling is the colonel of a three-member regiment that also includes the small hexatrihexagonal tiling and the small rhombihexagonal tiling.