Snub triapeirotrigonal tiling
In this article, we will explore and analyze Snub triapeirotrigonal tiling in detail. From its origins to its relevance today, this topic represents a fundamental aspect in contemporary society. Through a multidisciplinary approach, we will examine how Snub triapeirotrigonal tiling has impacted various fields, from economics to culture, politics and technology. Likewise, we will delve into the implications that Snub triapeirotrigonal tiling has on people's daily lives, as well as its future projection. Through critical and reflective analysis, we will seek to understand the complexity and importance of Snub triapeirotrigonal tiling in the modern world, offering a comprehensive perspective that invites reflection and debate.
| Snub triapeirotrigonal tiling | |
|---|---|
 Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 3.3.3.3.3.∞ |
| Schläfli symbol | s{3,∞} s(∞,3,3) |
| Wythoff symbol | | ∞ 3 3 |
| Coxeter diagram |       
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| Symmetry group | +, (∞33) |
| Dual | Order-i-3-3_t0 dual tiling |
| Properties | Vertex-transitive Chiral |
In geometry, the snub triapeirotrigonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}.
Related polyhedra and tiling
| Paracompact hyperbolic uniform tilings in family | |||||||||||
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| Symmetry: , (*∞33) | +, (∞33) | ||||||||||
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| (∞,∞,3) | t0,1(∞,3,3) | t1(∞,3,3) | t1,2(∞,3,3) | t2(∞,3,3) | t0,2(∞,3,3) | t0,1,2(∞,3,3) | s(∞,3,3) | ||||
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| V(3.∞)3 | V3.∞.3.∞ | V(3.∞)3 | V3.6.∞.6 | V(3.3)∞ | V3.6.∞.6 | V6.6.∞ | V3.3.3.3.3.∞ | ||||
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.
See also
External links
- Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
- Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
- Hyperbolic and Spherical Tiling Gallery
- KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
- Hyperbolic Planar Tessellations, Don Hatch
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