Icosagon

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Icosagon
Rank2
TypeRegular
Notation
Bowers style acronymIc
Coxeter diagramx20o ()
Schläfli symbol{20}
Elements
Edges20
Vertices20
Vertex figureDyad, length
Measures (edge length 1)
Circumradius
Inradius
Area
Angle162°
Central density1
Number of external pieces20
Level of complexity1
Related polytopes
ArmyIc
DualIcosagon
ConjugatesSmall icosagram, icosagram, great icosagram
Abstract & topological properties
Flag count40
Euler characteristic0
OrientableYes
Properties
SymmetryI2(20), order 40
Flag orbits1
ConvexYes
NatureTame

The icosagon, or ic, is a polygon with 20 sides. A regular icosagon has equal sides and equal angles.

Icosagons are the largest polygon currently known to appear in a CRF polytope that is not part of an infinite series, as augmentations of certain icosagon-based duoprisms are CRF. Also, uniform compound with hecatonicosachoric symmetry exist based on duoprisms using icosagons and their star forms.

Stellations[edit | edit source]

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