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.
Related polytopes[edit | edit source]
| Name | OBSA | Schläfli symbol | CD diagram | Picture |
|---|---|---|---|---|
| Octagonal tiling | ocat | {8,3} | x8o3o |  |
| Truncated octagonal tiling | tocat | t{8,3} | x8x3o |  |
| Trioctagonal tiling | toct | r{8,3} | o8x3o |  |
| Truncated order-8 triangular tiling | totrat | t{3,8} | o8x3x |  |
| Order-8 triangular tiling | otrat | {3,8} | o8o3x |  |
| Small rhombitrioctagonal tiling | srotoct | rr{8,3} | x8o3x |  |
| Great rhombitrioctagonal tiling | grotoct | tr{8,3} | x8x3x |  |
| Snub trioctagonal tiling | snatoct | sr{8,3} | s8s3s |  |
External links[edit | edit source]
- Klitzing, Richard. "snatoct".
- Wikipedia Contributors. "Snub trioctagonal tiling".