Truncated order-7 heptagonal tiling
| Truncated order-7 heptagonal tiling | |
|---|---|
 Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 7.14.14 |
| Schläfli symbol | t{7,7} |
| Wythoff symbol | 2 7 | 7 |
| Coxeter diagram |   
|
| Symmetry group | [7,7], (*772) |
| Dual | Order-7 heptakis heptagonal tiling |
| Properties | Vertex-transitive |
In geometry, the truncated order-7 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{7,7}, constructed from one heptagons and two tetrakaidecagons around every vertex.
Related tilings
[edit]| Uniform heptaheptagonal tilings | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Symmetry: [7,7], (*772) | [7,7]+, (772) | ||||||||||
=   =  
|
= =
|
=  = 
|
=  =
|
= =
|
=  =
|
= =
|
 = =
| ||||
|
|
|
|
|
|
|
| ||||
| {7,7} | t{7,7} |
r{7,7} | 2t{7,7}=t{7,7} | 2r{7,7}={7,7} | rr{7,7} | tr{7,7} | sr{7,7} | ||||
| Uniform duals | |||||||||||
|
|
|
|
|
|
|
| ||||
|
|
|
|
|
|
|
|
|||||
| V77 | V7.14.14 | V7.7.7.7 | V7.14.14 | V77 | V4.7.4.7 | V4.14.14 | V3.3.7.3.7 | ||||
See also
[edit]References
[edit]- 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
[edit]
Wikimedia Commons has media related to Uniform tiling 7-14-14.
- 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
 | This hyperbolic geometry-related article is a stub. You can help Wikipedia by expanding it. |