snub hexahexagonal tiling
{{Uniform hyperbolic tiles db|Uniform hyperbolic tiling stat table|U66_s}}
In geometry, the snub hexahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,6}.
Images
Symmetry
A higher symmetry coloring can be constructed from [6,4] symmetry as s{6,4}, {{CDD|node_h|6|node_h|4|node}}. In this construction there is only one color of hexagon.
Related polyhedra and tiling
{{Order 6-6 tiling table}}
{{Order 6-4 tiling table}}
{{Snub5 table}}
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)
- {{Cite book|title=The Beauty of Geometry: Twelve Essays|year=1999|publisher=Dover Publications|lccn=99035678|isbn=0-486-40919-8|chapter=Chapter 10: Regular honeycombs in hyperbolic space}}
See also
{{Commonscat|Uniform tiling 3-3-6-3-6}}
External links
- {{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
- {{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
- [http://bork.hampshire.edu/~bernie/hyper/ Hyperbolic and Spherical Tiling Gallery]
- [http://geometrygames.org/KaleidoTile/index.html KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings]
- [http://www.plunk.org/~hatch/HyperbolicTesselations Hyperbolic Planar Tessellations, Don Hatch]
{{Tessellation}}