Rhombipentahexagonal_tiling

Rhombipentahexagonal tiling

Rhombipentahexagonal tiling

Uniform tiling of the hyperbolic plane in geometry


In geometry, the rhombipentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,2{6,5}.

Rhombipentahexagonal tiling
Rhombipentahexagonal tiling
Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration5.4.6.4
Schläfli symbolrr{6,5} or
Wythoff symbol5 | 6 2
Coxeter diagram
Symmetry group[6,5], (*652)
DualDeltoidal pentahexagonal tiling
PropertiesVertex-transitive
More information Symmetry: [6,5], (*652), [6,5]+, (652) ...

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)
  • "Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.

See also



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