Quasirhombitrihexagonal tiling
Jump to navigation
Jump to search
Quasirhombitrihexagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Qrothat |
Coxeter diagram | x6/5o3x () |
Elements | |
Faces | 2N triangles, 3N squares, N hexagons |
Edges | 6N+6N |
Vertices | 6N |
Vertex figure | Crossed isosceles trapezoid, edge lengths 1, √2, √3, √2 |
Related polytopes | |
Army | Srothat |
Regiment | Ghothat |
Conjugate | Small rhombitrihexagonal tiling |
Abstract & topological properties | |
Flag count | 48N |
Orientable | Yes |
Properties | |
Symmetry | V3 |
Convex | No |
Nature | Tame |
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.
External links[edit | edit source]
- Klitzing, Richard. "qrothat".
- McNeill, Jim. "Star Tesselations Type 4".