Quasirhombitrihexagonal tiling

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Quasirhombitrihexagonal tiling
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymQrothat
Coxeter diagramx6/5o3x ()
Elements
Faces2N triangles, 3N squares, N hexagons
Edges6N+6N
Vertices6N
Vertex figureCrossed isosceles trapezoid, edge lengths 1, 2, 3, 2
Related polytopes
ArmySrothat
RegimentGhothat
ConjugateSmall rhombitrihexagonal tiling
Abstract & topological properties
Flag count48N
OrientableYes
Properties
SymmetryV3
ConvexNo
NatureTame

The quasirhombitrihexagonal tiling, or qrothat, is a non-convex uniform tiling of the Euclidean plane. 1 triangle, 1 hexagon, and 2 squares join at each vertex of this tiling. It can be formed by quasicantellation of the regular hexagonal tiling or its dual triangular tiling, with the hexagons seen as 6/5-gons or triangles seen as 3/2-gons.

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