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词条 Snub order-8 triangular 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|U433_s}}

In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of s{(3,4,3)} and s{3,8}.

Images

Drawn in chiral pairs:

Symmetry

The alternated construction from the truncated order-8 triangular tiling has 2 colors of triangles and achiral symmetry. It has Schläfli symbol of s{3,8}.

Related polyhedra and tiling

{{Order 4-3-3 tiling table}}{{Octagonal tiling 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 3-3-3-3-3-4}}
  • Square tiling
  • Uniform tilings in hyperbolic plane
  • 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}}

6 : Hyperbolic tilings|Isogonal tilings|Order-8 tilings|Snub tilings|Triangular tilings|Uniform tilings

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