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tetraheptagonal tiling

{{Uniform hyperbolic tiles db|Uniform hyperbolic tiling stat table|U74_1}}

In geometry, the tetraheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of r{4,7}.

Symmetry

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A half symmetry [1+,4,7] = [7,7] construction exists, which can be seen as two colors of heptagons. This coloring can be called a rhombiheptaheptagonal tiling.

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The dual tiling is made of rhombic faces and has a face configuration V4.7.4.7.

Related polyhedra and tiling

{{Quasiregular4 table}}

{{Order 7-4 tiling table}}

{{Order 7-7 tiling table}}

{{Quasiregular7 table}}

See also

{{Commonscat|Uniform tiling 4-7-4-7}}

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}}

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]

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Category:Hyperbolic tilings

Category:Isogonal tilings

Category:Isotoxal tilings

Category:Uniform tilings

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