Truncated order-5 hexagonal tiling

From Wikipedia, the free encyclopedia
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 CDel node 1.pngCDel 6.pngCDel node 1.pngCDel 5.pngCDel node.png
Symmetry group [6,5], (*652)
Dual
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}.

Related polyhedra and tiling[]

Uniform hexagonal/pentagonal tilings
  • v
Symmetry: [6,5], (*652) [6,5]+, (652) [6,5+], (5*3) [1+,6,5], (*553)
CDel node 1.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node.png CDel node 1.pngCDel 6.pngCDel node 1.pngCDel 5.pngCDel node.png CDel node.pngCDel 6.pngCDel node 1.pngCDel 5.pngCDel node.png CDel node.pngCDel 6.pngCDel node 1.pngCDel 5.pngCDel node 1.png CDel node.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node 1.png CDel node 1.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node 1.png CDel node 1.pngCDel 6.pngCDel node 1.pngCDel 5.pngCDel node 1.png CDel node h.pngCDel 6.pngCDel node h.pngCDel 5.pngCDel node h.png CDel node.pngCDel 6.pngCDel node h.pngCDel 5.pngCDel node h.png CDel node h.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node.png
H2 tiling 256-1.png H2 tiling 256-3.png H2 tiling 256-2.png H2 tiling 256-6.png H2 tiling 256-4.png H2 tiling 256-5.png H2 tiling 256-7.png Uniform tiling 65-snub.png H2 tiling 355-1.png
{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}
Uniform duals
CDel node f1.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node.png CDel node f1.pngCDel 6.pngCDel node f1.pngCDel 5.pngCDel node.png CDel node.pngCDel 6.pngCDel node f1.pngCDel 5.pngCDel node.png CDel node.pngCDel 6.pngCDel node f1.pngCDel 5.pngCDel node f1.png CDel node.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node f1.png CDel node f1.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node f1.png CDel node f1.pngCDel 6.pngCDel node f1.pngCDel 5.pngCDel node f1.png CDel node fh.pngCDel 6.pngCDel node fh.pngCDel 5.pngCDel node fh.png CDel node.pngCDel 6.pngCDel node fh.pngCDel 5.pngCDel node fh.png CDel node fh.pngCDel 6.pngCDel node.pngCDel 5.pngCDel node.png
H2chess 256b.png Order-6 pentakis pentagonal tiling.png Order-6-5 quasiregular rhombic tiling.png H2chess 256e.png H2 tiling 256-1.png Deltoidal pentahexagonal tiling.png H2checkers 256.png
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-Strass, 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[]

  • Square tiling
  • Tilings of regular polygons
  • List of uniform planar tilings
  • List of regular polytopes

External links[]

Retrieved from ""