Snub tetraapeirogonal tiling

Snub tetraapeirogonal tiling
Snub tetraapeirogonal tiling Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	3.3.4.3.∞
Schläfli symbol	sr{∞,4} or $s {\begin{matrix} \infty \\ 4 \end{matrix}}$
Wythoff symbol	\| ∞ 4 2
Coxeter diagram	File:CDel node h.pngFile:CDel infin.pngFile:CDel node h.pngFile:CDel 4.pngFile:CDel node h.png or File:CDel node h.pngFile:CDel split1-ii.pngFile:CDel nodes hh.png
Symmetry group	[∞,4]⁺, (∞42)
Dual	Order-4-infinite floret pentagonal tiling
Properties	Vertex-transitive Chiral

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

Images

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

The snub tetrapeirogonal tiling is last in an infinite series of snub polyhedra and tilings with vertex figure 3.3.4.3.n. Template:Snub4 table

John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 Search this book on . (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. Search this book on

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