Truncated order-5 pentagonal tiling
Truncated order-5 pentagonal tiling | |
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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 | |
Symmetry group | [5,5], (*552) |
Dual | |
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[]
Uniform pentapentagonal tilings | |||||||||||
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Symmetry: [5,5], (*552) | [5,5]+, (552) | ||||||||||
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{5,5} | t{5,5} |
r{5,5} | 2t{5,5}=t{5,5} | 2r{5,5}={5,5} | rr{5,5} | tr{5,5} | sr{5,5} | ||||
Uniform duals | |||||||||||
V5.5.5.5.5 | V5.10.10 | V5.5.5.5 | V5.10.10 | V5.5.5.5.5 | V4.5.4.5 | V4.10.10 | V3.3.5.3.5 |
See also[]
Wikimedia Commons has media related to Uniform tiling 5-10-10. |
- Square tiling
- Uniform tilings in hyperbolic plane
- List of regular polytopes
References[]
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, 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.
External links[]
Categories:
- Hyperbolic tilings
- Isogonal tilings
- Order-5 tilings
- Pentagonal tilings
- Truncated tilings
- Uniform tilings
- Geometry stubs