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

This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (4n).

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, (Chapter 19, The Hyperbolic Archimedean Tessellations)

See also

• Square tiling

• Uniform tilings in hyperbolic plane

• List of regular polytopes

• Medial rhombic triacontahedron

External links

• Hyperbolic and Spherical Tiling Gallery

• KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings

• Hyperbolic Planar Tessellations, Don Hatch