Snub tetrahexagonal tiling

In geometry, the snub tetrahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,4}.

Snub tetrahexagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3.
Schläfli symbolsr{6,4} or
Wythoff symbol| 6 4 2
Coxeter diagram or
Symmetry group[6,4]+, (642)
DualOrder-6-4 floret pentagonal tiling
PropertiesVertex-transitive Chiral


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

The snub tetrahexagonal tiling is fifth in a series of snub polyhedra and tilings with vertex figure


  • 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

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