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Orbifold notation

In geometry, orbifold notation (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature. The advantage of the notation is that it describes these groups in a way which indicates many of the groups' properties…

Characters, Two-dimensional groups & Definition of the notation

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Two-dimensional groups

SnowflakePentagonFlag of Hong KongSymmetry2D
10 related topics

Definition of the notation

IntegersInfinityAsteriskCrosscapBoldface
7 related topics

The Euler characteristic and the order

Euler characteristic
1 related topics

Overview

GeometryOrbifoldWilliam ThurstonJohn ConwaySymmetry groups
13 related topics

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Overview

Definition of the notation

Chirality and achirality

The Euler characteristic and the order

Two-dimensional groups

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Orbifold notation

Nodes38
Edges37
Triples62
Avg. degree1.95
Density0.052632
Components1

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Orbifold notation

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related to References · 47
Orbifold notation → Algebra, August, Bibcode, Cambridge, Cambridge University Press, Chaim Goodman-Strauss, Cohomology, Combinatorics, Contributions, Conway, Daniel, Durham, Durham Symposium, Euclidean, Fuchsian, Geometry, Groups, Heidi Burgiel, Huson, In
related to External links · 12
Orbifold notation → Bill Thurston, Geometry, Imagination, Jane Gilman, John Conway, June, Minneapolis, Notes, PDF, Peter Doyle, See, Tegula Software
related to Definition of the notation · 2
Orbifold notation → Euclidean, The
see also · 1
Orbifold notation → Mutation

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Important terminology

groups orbifold notation symmetry group euclidean plane conway two-dimensional symbol displaystyle thurston euler characteristic order frieze wallpaper hyperbolic geometry symmetries

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Orbifold notationrelated to Definition of the notationThe0.60section
Orbifold notationrelated to Definition of the notationEuclidean0.60section
Orbifold notationrelated to External linksNotes0.60section
Orbifold notationrelated to External linksGeometry0.60section
Orbifold notationrelated to External linksImagination0.60section
Orbifold notationrelated to External linksMinneapolis0.60section
Orbifold notationrelated to External linksJohn Conway0.60section
Orbifold notationrelated to External linksPeter Doyle0.60section
Orbifold notationrelated to External linksJane Gilman0.60section
Orbifold notationrelated to External linksBill Thurston0.60section
Orbifold notationrelated to External linksJune0.60section
Orbifold notationrelated to External linksSee0.60section

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