Snub order-8 triangular tiling
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| Snub order-8 triangular tiling | |
|---|---|
| Snub order-8 triangular tiling Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 3.3.3.3.3.4 |
| Schläfli symbol | s{3,8} s(4,3,3) |
| Wythoff symbol | | 4 3 3 |
| Coxeter diagram | File:CDel label4.pngFile:CDel branch hh.pngFile:CDel split2.pngFile:CDel node h.png File:CDel node.pngFile:CDel 8.pngFile:CDel node h.pngFile:CDel 3.pngFile:CDel node h.png |
| Symmetry group | [8,3+], (3*4) [(4,3,3)]+, (433) |
| Dual | Order-4-3-3 snub dual tiling |
| Properties | Vertex-transitive |
In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of s{(3,4,3)} and s{3,8}.
Images
Drawn in chiral pairs:
Symmetry
The alternated construction from the truncated order-8 triangular tiling has 2 colors of triangles and achiral symmetry. It has Schläfli symbol of s{3,8}.
Related polyhedra and tiling
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
Wikimedia Commons has media related to Uniform tiling 3-3-3-3-3-4.
