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Snub tetrapentagonal tiling
Uniform tiling of the hyperbolic plane From Wikipedia, the free encyclopedia
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In geometry, the snub tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,4}.
| Snub tetrapentagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 3.3.4.3.5 |
| Schläfli symbol | sr{5,4} or |
| Wythoff symbol | | 5 4 2 |
| Coxeter diagram | |
| Symmetry group | [5,4]+, (542) |
| Dual | Order-5-4 floret pentagonal tiling |
| Properties | Vertex-transitive Chiral |
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Images
Drawn in chiral pairs, with edges missing between black triangles:
Dual tiling
The dual is called an order-5-4 floret pentagonal tiling, defined by face configuration V3.3.4.3.5.
Related polyhedra and tiling
The snub tetrapentagonal tiling is fourth in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n.
See also
Wikimedia Commons has media related to Uniform tiling 3-3-4-3-5.
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.
External links
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