Great hexatrihexagonal tiling
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| Great hexatrihexagonal tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Ghothat |
| Coxeter diagram | x6/5x3o6*a |
| Elements | |
| Faces | 2N triangles, N hexagons, Ndodecagrams |
| Edges | 6N+6N |
| Vertices | 6N |
| Vertex figure | Isosceles trapezoid, edge lengths 1, (√6-√2)/2, √3, (√6-√2)/2 |
| Related polytopes | |
| Army | Srothat |
| Regiment | Ghothat |
| Conjugate | Small hexatrihexagonal tiling |
| Abstract & topological properties | |
| Flag count | 48N |
| Properties | |
| Symmetry | V3 |
| Convex | No |
| Nature | Tame |
The great hexatrihexagonal tiling, or ghothat, is a non-convex uniform tiling of the Euclidean plane. 1 triangle, 1 hexagon, and 2 dodecagrams join at each vertex of this tiling.
Related tilings[edit | edit source]
The great hexatrihexagonal tiling is the colonel of a three-member regiment that also includes the quasirhombitrihexagonal tiling and the great rhombihexagonal tiling.
External links[edit | edit source]
- Klitzing, Richard. "ghothat".
- McNeill, Jim. "Star Tesselations Type 4".