Snub trioctagonal tiling
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Snub trioctagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Snatoct |
Coxeter diagram | s8s3s () |
Elements | |
Faces | 8N+24N triangles, 3N octagons |
Edges | 12N+24N+24N |
Vertices | 24N |
Vertex figure | Floret pentagon, edge lengths 1, 1, 1, 1, √2+√2 |
Measures (edge length 1) | |
Circumradius | ≈ 2.02276 i |
Related polytopes | |
Army | Snatoct |
Regiment | Snatoct |
Dual | 8-3 floret pentagonal tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [8,3]+ |
Convex | Yes |
The snub trioctagonal tiling' or snatoct, also called the snub octagonal tiling, is a uniform tiling of the hyperbolic plane. 4 triangles and 1 octagon join at each vertex. It can be formed by alternation of the great rhombitrioctagonal tiling, followed by adjustment of edge lengths to be all equal.
External links[edit | edit source]
- Klitzing, Richard. "snatoct".
- Wikipedia contributors. "Snub trioctagonal tiling".