释义 |
- Images
- Symmetry
- Related polyhedra and tiling
- References
- See also
- External links
{{Uniform hyperbolic tiles db|Uniform hyperbolic tiling stat table|U88_s}}In geometry, the snub octaoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,8}. Images Drawn in chiral pairs, with edges missing between black triangles: SymmetryA higher symmetry coloring can be constructed from [8,4] symmetry as s{8,4}, {{CDD|node_h|8|node_h|4|node}}. In this construction there is only one color of octagon. Related polyhedra and tiling {{Order 8-8 tiling table}}{{Order 8-4 tiling table}}{{Snub5 table}}References- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, 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 3-3-8-3-8}}- Square tiling
- Tilings of regular polygons
- List of uniform planar tilings
- List of regular polytopes
External links - {{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
- {{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
- Hyperbolic and Spherical Tiling Gallery
- KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
- Hyperbolic Planar Tessellations, Don Hatch
{{Tessellation}} 4 : Hyperbolic tilings|Isogonal tilings|Snub tilings|Uniform tilings |