Truncated apeirogonal tiling
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| Truncated apeirogonal tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform, paracompact |
| Space | Hyperbolic |
| Notation | |
| Bowers style acronym | Tazat |
| Coxeter diagram | x∞x3o (    ) |
| Elements | |
| Faces | 2NM triangles, 6N apeirogons |
| Edges | 3NM+6NM |
| Vertices | 6NM |
| Vertex figure | Isosceles triangle, edge lengths 1, 2, 2 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Tazat |
| Regiment | Tazat |
| Dual | Triakis order-∞ triangular tiling |
| Abstract & topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | [∞,3] |
| Convex | Yes |
The truncated apeirogonal tiling, or tazat, is a paracompact uniform tiling of the hyperbolic plane. 1 triangle and 2 apeirogons join at each vertex. It can be formed from the truncation of the apeirogonal tiling
External links[edit | edit source]
- Klitzing, Richard. "tazat".
- Wikipedia contributors. "Truncated order-3 apeirogonal tiling".
| truncations | ||||
|---|---|---|---|---|
| Name | OBSA | Schläfli symbol | CD diagram | Image |
| Apeirogonal tiling | azat | {∞,3} | |  |
| Triapeirogonal tiling | tazt | r{∞,3} | |  |
| Order-∞ triangular tiling | aztrat | {3,∞} | |  |
| Truncated apeirogonal tiling | tazat | t{∞,3} | | |
| Small rhombitriapeirogonal tiling | srotazt | rr{∞,3} | |  |
| Truncated order-∞ triangular tiling | taztrat | t{3,∞} | |  |
| Great rhombitriapeirogonal tiling | grotazt | tr{∞,3} | |  |
| Snub triapeirogonal tiling | sr{∞,3} |  |  | |