Small rhombitrioctagonal tiling
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Small rhombitrioctagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Srotoct |
Coxeter diagram | x8o3x () |
Elements | |
Faces | 8N triangles, 12N squares, 3N octagons |
Edges | 24N+24N |
Vertices | 24N |
Vertex figure | Isosceles trapezoid, edge legnths 1, √2, √2+√2, √2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Srotoct |
Regiment | Srotoct |
Dual | Deltoidal trioctagonal tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [8,3] |
Convex | Yes |
The small rhombitrioctagonal tiling, or simply rhombitrioctagonal tiling, is a uniform tiling of the hyperbolic plane. 1 octagon, 1 triangle, and 2 squares join at each vertex. It can be formed by cantellation of either the octagonal tiling or its dual order-8 triangular tiling, or equivalently by rectification of the trioctagonal tiling.
External links[edit | edit source]
- Klitzing, Richard. "srotoct".
- Wikipedia contributors. "Rhombitrioctagonal tiling".