Order-5 apeirogonal tiling
Jump to navigation
Jump to search
| Order-5 apeirogonal tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Regular, paracompact |
| Space | Hyperbolic |
| Notation | |
| Bowers style acronym | Pazat |
| Coxeter diagram | x∞o5o (    ) |
| Schläfli symbol | {∞,5} |
| Elements | |
| Faces | 10N apeirogons |
| Edges | 5NM |
| Vertices | 2NM |
| Vertex figure | Pentagon, edge length 2 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Pazat |
| Regiment | Pazat |
| Dual | Order-∞ pentagonal tiling |
| Topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | [∞,5] |
| Convex | Yes |
The order-5 apeirogonal tiling is a paracompact regular tiling of the hyperbolic plane. 5 apeirogons join at each vertex.
Related polytopes[edit | edit source]
| Name | OBSA | Schläfli symbol | CD diagram | Picture |
|---|---|---|---|---|
| Order-5 apeirogonal tiling | pazat | {∞,5} |
|
|
| Truncated order-5 apeirogonal tiling | topazat | t{∞,5} |
|
 |
| Pentaapeirogonal tiling | pazt | r{∞,5} |
|
 |
| Truncated order-∞ pentagonal tiling | tazpat | t{5,∞} |
|
 |
| Order-∞ pentagonal tiling | azpat | {5,∞} |
|
 |
| Small rhombipentaapeirogonal tiling | sropazt | rr{∞,5} |
|
 |
| Great rhombipentaapeirogonal tiling | gropazt | tr{∞,5} |
|
 |
| Snub pentaapeirogonal tiling | sr{∞,5} | 
|
 |
External links[edit | edit source]
- Wikipedia Contributors. "Order-5 apeirogonal tiling".