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词条 Snub tetrapentagonal tiling
释义

  1. Images

  2. Dual tiling

  3. Related polyhedra and tiling

  4. See also

  5. References

  6. External links

{{Uniform hyperbolic tiles db|Uniform hyperbolic tiling stat table|U54_s}}

In geometry, the snub tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,4}.

Images

Drawn in chiral pairs, with edges missing between black triangles:

Dual tiling

The dual is called an order-5-4 floret pentagonal tiling, defined by face configuration V3.3.4.3.5.

Related polyhedra and tiling

The snub tetrapentagonal tiling is fourth in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n.

{{Snub4 table}}{{Order 5-4 tiling table}}

See also

{{Commons category|Uniform tiling 3-3-4-3-5}}
  • Square tiling
  • Tilings of regular polygons
  • List of uniform planar tilings
  • List of regular polytopes

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}}

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}}

5 : Chiral figures|Hyperbolic tilings|Isogonal tilings|Uniform tilings|Snub tilings

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