Truncated order-5 hexagonal tiling

Truncated order-5 hexagonal tiling
Truncated order-5 hexagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 5.12.12
Schläfli symbol t{6,5}
Wythoff symbol 2 5 | 6
Coxeter diagram
Symmetry group [6,5], (*652)
Dual Order-6 pentakis pentagonal tiling
Properties Vertex-transitive

In geometry, the truncated order-5 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{6,5}.

Uniform hexagonal/pentagonal tilings
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Symmetry: [6,5], (*652) [6,5]+, (652) [6,5+], (5*3) [1+,6,5], (*553)
{6,5} t{6,5} r{6,5} 2t{6,5}=t{5,6} 2r{6,5}={5,6} rr{6,5} tr{6,5} sr{6,5} s{5,6} h{6,5}
Uniform duals
V65 V5.12.12 V5.6.5.6 V6.10.10 V56 V4.5.4.6 V4.10.12 V3.3.5.3.6 V3.3.3.5.3.5 V(3.5)5

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

Wikimedia Commons has media related to Uniform tiling 5-12-12.
  • Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
  • Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
  • Hyperbolic and Spherical Tiling Gallery
  • KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
  • Hyperbolic Planar Tessellations, Don Hatch
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Other
Spherical
  • 2n
  • 33.n
  • V33.n
  • 42.n
  • V42.n
Regular
  • 2∞
  • 36
  • 44
  • 63
Semi-
regular
  • 32.4.3.4
  • V32.4.3.4
  • 33.42
  • 33.∞
  • 34.6
  • V34.6
  • 3.4.6.4
  • (3.6)2
  • 3.122
  • 42.∞
  • 4.6.12
  • 4.82
Hyper-
bolic


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