Small rhombitriheptagonal tiling
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Small rhombitriheptagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Srothet |
Coxeter diagram | x7o3x () |
Elements | |
Faces | 14N triangles, 21N squares, 6N heptagons |
Edges | 42N+42N |
Vertices | 42N |
Vertex figure | Isosceles trapezoid, edge lengths 1, √2, 2cos(π/7), √2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Srothet |
Regiment | Srothet |
Dual | Deltoidal triheptagonal tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [7,3] |
Convex | Yes |
The small rhombitriheptagonal tiling or srothet, or simply rhombitriheptagonal tiling, is a uniform tiling of the hyperbolic plane. 1 heptagon, 1 triangle and 2 squares join at each vertex. It can be formed by cantellation of either the heptagonal tiling or its dual order-7 triangular tiling, or equivalently by rectification of the triheptagonal tiling.
External links[edit | edit source]
- Klitzing, Richard. "srothet".
- Wikipedia contributors. "Rhombitriheptagonal tiling".