Order-5 square tiling

{{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.

:240px

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)
  • {{Cite book|title=The Beauty of Geometry: Twelve Essays|year=1999|publisher=Dover Publications|lccn=99035678|isbn=0-486-40919-8|chapter=Chapter 10: Regular honeycombs in hyperbolic space}}

See also