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{{Uniform hyperbolic tiles db|Reg hyperbolic tiling stat table|U54_2}}In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,5}.

Related polyhedra and tiling

{{Order-5_regular_tilings}}This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (4n).{{Regular square tiling table}}{{Order 5-4 tiling table}}This hyperbolic tiling is related to a semiregular infinite skew polyhedron with the same vertex figure in Euclidean 3-space.

References

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, {{isbn|978-1-56881-220-5}} (Chapter 19, The Hyperbolic Archimedean Tessellations)
• BOOK, The Beauty of Geometry: Twelve Essays, 1999, Dover Publications, 99035678, 0-486-40919-8, Chapter 10: Regular honeycombs in hyperbolic space,

See also

• Square tiling
• Uniform tilings in hyperbolic plane
• List of regular polytopes
• Medial rhombic triacontahedron

External links

• {{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
• {{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
• Hyperbolic and Spherical Tiling Gallery
• KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
• Hyperbolic Planar Tessellations, Don Hatch

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