Truncated order-5 pentagonal tiling
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| Truncated order-5 pentagonal tiling | |
|---|---|
| Truncated order-5 pentagonal tiling Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 5.10.10 |
| Schläfli symbol | t{5,5} |
| Wythoff symbol | 2 5 | 5 |
| Coxeter diagram | File:CDel node 1.pngFile:CDel 5.pngFile:CDel node 1.pngFile:CDel 5.pngFile:CDel node.png |
| Symmetry group | [5,5], (*552) |
| Dual | Order-5 pentakis pentagonal tiling |
| Properties | Vertex-transitive |
In geometry, the truncated order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{5,5}, constructed from one pentagons and two decagons around every vertex.
Related tilings
See also
Wikimedia Commons has media related to Uniform tiling 5-10-10.
References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)
- "Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.
