Snub Pentapentagonal Tiling
From Handwiki In geometry, the snub pentapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,5}, constructed from two regular pentagons and three equilateral triangles around every vertex.
Images
Drawn in chiral pairs, with edges missing between black triangles:
Symmetry
A double symmetry coloring can be constructed from [5,4] symmetry with only one color pentagon. It has Schläfli symbol s{5,4}, and Coxeter diagram 
.
Related tilings
See also
- Square tiling
- Uniform tilings in hyperbolic plane
- List of regular polytopes
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.
External links
- Weisstein, Eric W.. "Hyperbolic tiling". http://mathworld.wolfram.com/HyperbolicTiling.html.
- Weisstein, Eric W.. "Poincaré hyperbolic disk". http://mathworld.wolfram.com/PoincareHyperbolicDisk.html.
- Hyperbolic and Spherical Tiling Gallery
- KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
- Hyperbolic Planar Tessellations, Don Hatch
Tessellation | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|   | ||||||||||||
| |||||||||||||
| |||||||||||||
| |||||||||||||
 |  |
Categories: [Hyperbolic tilings] [Isogonal tilings] [Snub tilings]
↧ Download as ZWI file | Last modified: 06/29/2025 03:37:33 | 4 views
☰ Source: https://handwiki.org/wiki/Snub_pentapentagonal_tiling | License: CC BY-SA 3.0
✘
ZWI is not signed. [what is this?]
ZWI viewer
by the 
KSF
KSF