Snub hexahexagonal tiling

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In geometry, the snub hexahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,6}.

Images

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

H2 snub 266a.pngH2 snub 266b.png

Symmetry

A higher symmetry coloring can be constructed from [6,4] symmetry as s{6,4}, CDel node h.pngCDel 6.pngCDel node h.pngCDel 4.pngCDel node.png. In this construction there is only one color of hexagon.

Uniform tiling 64-h02.png

Related polyhedra and tiling

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. 

See also

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

External links