Snub tetrapentagonal tiling

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Snub tetrapentagonal tiling
Snub tetrapentagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 3.3.4.3.5
Schläfli symbol sr{5,4} or
Wythoff symbol | 5 4 2
Coxeter diagram CDel node h.pngCDel 5.pngCDel node h.pngCDel 4.pngCDel node h.png or CDel node h.pngCDel split1-54.pngCDel nodes hh.png
Symmetry group [5,4]+, (542)
Dual Order-5-4 floret pentagonal tiling
Properties Vertex-transitive Chiral

In geometry, the snub tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,4}.

Images[edit]

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

H2 snub 245a.pngH2 snub 245b.png

Dual tiling[edit]

The dual is called an order-5-4 floret pentagonal tiling, defined by face configuration V3.3.4.3.5.

Order-5-4 floret pentagonal tiling.png

Related polyhedra and tiling[edit]

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

See also[edit]

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. 

External links[edit]