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词条 Snub octaoctagonal tiling
释义

  1. Images

  2. Symmetry

  3. Related polyhedra and tiling

  4. References

  5. See also

  6. 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:

Symmetry

A 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

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