Pentaapeirogonal tiling

pentaapeirogonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	(5.∞)2
Schläfli symbol	r{∞,5} or $\left\{\begin{array}{c}\mathrm{\infty }\\ 5\end{array}\right\}$
Wythoff symbol	2 | ∞ 5
Coxeter diagram	Error creating thumbnail: or File:CDel split1-i5.pngFile:CDel nodes.png
Symmetry group	[∞,5], (*∞52)
Dual	Order-5-infinite rhombille tiling
Properties	Vertex-transitive edge-transitive

In geometry, the pentaapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r{∞,5}.

Related polyhedra and tiling

Template:Quasiregular5 table

See also

• List of uniform planar tilings
• Tilings of regular polygons
• Uniform tilings in hyperbolic plane

References

• 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

External links

• Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
• Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.

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