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Order-7 heptagonal tiling, the Glossary

Index Order-7 heptagonal tiling

In geometry, the order-7 heptagonal tiling is a regular tiling of the hyperbolic plane.[1]

Table of Contents

  1. 7 relations: Geometry, Hyperbolic geometry, John Horton Conway, List of regular polytopes, Schläfli symbol, Square tiling, Uniform tilings in hyperbolic plane.

  2. Heptagonal tilings
  3. Isohedral tilings
  4. Order-7 tilings
  5. Regular tilings
  6. Self-dual tilings

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

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Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry.

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John Horton Conway

John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

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List of regular polytopes

This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces.

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Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form \ that defines regular polytopes and tessellations.

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Square tiling

In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. Order-7 heptagonal tiling and square tiling are isogonal tilings, Isohedral tilings, regular tilings and Self-dual tilings.

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Uniform tilings in hyperbolic plane

In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). Order-7 heptagonal tiling and uniform tilings in hyperbolic plane are hyperbolic tilings.

See Order-7 heptagonal tiling and Uniform tilings in hyperbolic plane

See also

Heptagonal tilings

Isohedral tilings

Order-7 tilings

Regular tilings

Self-dual tilings

References

[1] https://en.wikipedia.org/wiki/Order-7_heptagonal_tiling