Triheptagonal tiling
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Triheptagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | thet |
Coxeter diagram | o7x3o () |
Elements | |
Faces | 14N triangles, 6N heptagons |
Edges | 42N |
Vertices | 21N |
Vertex figure | Rectangle, edge lengths 1 and 2cos(π/7) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Thet |
Regiment | Thet |
Dual | 7-3 rhombille tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [7,3] |
Convex | Yes |
The triheptagonal tiling or thet is a uniform tiling of the hyperbolic plane. 2 heptagons and 2 triangles join at each vertex. It can be formed from the rectification of either the heptagonal tiling or its dual order-7 triangular tiling.
External links[edit | edit source]
- Klitzing, Richard. "thet".
- Wikipedia contributors. "Triheptagonal tiling".