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
[edit | edit source]Drawn in chiral pairs:
Symmetry
[edit | edit source]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
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References
[edit | edit source]- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value). (Chapter 19, The Hyperbolic Archimedean Tessellations)
- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
See also
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Wikimedia Commons has media related to Uniform tiling 3-3-3-3-3-4.
External links
[edit | edit source]- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- Hyperbolic and Spherical Tiling Gallery
- KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
- Hyperbolic Planar Tessellations, Don Hatch
