Snub tetraoctagonal tiling

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Snub tetraoctagonal tiling
Snub tetraoctagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 3.3.4.3.8
Schläfli symbol sr{8,4} or
Wythoff symbol | 8 4 2
Coxeter diagram CDel node h.pngCDel 8.pngCDel node h.pngCDel 4.pngCDel node h.png
Symmetry group [8,4]+, (842)
Dual Order-8-4 floret pentagonal tiling
Properties Vertex-transitive Chiral

In geometry, the snub tetraoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,4}.

Images[edit]

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

H2 snub 248a.pngH2 snub 248b.png

Related polyhedra and tiling[edit]

The snub tetraoctagonal tiling is seventh in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n.

References[edit]

  • 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[edit]

External links[edit]