Hendecagram

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Hendecagram
Rank2
TypeRegular
Notation
Bowers style acronymHenge
Coxeter diagramx11/3o ()
Schläfli symbol{11/3}
Elements
Edges11
Vertices11
Vertex figureDyad, length 2cos(3π/11)
Measures (edge length 1)
Circumradius
Inradius
Area
Angle
Central density3
Number of external pieces22
Level of complexity2
Related polytopes
ArmyHeng, edge length
DualHendecagram
ConjugatesHendecagon, small hendecagram, great hendecagram, grand hendecagram
Convex coreHendecagon
Abstract & topological properties
Flag count22
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11), order 22
ConvexNo
NatureTame

The hendecagram also called the medial hendecagram, is a non-convex polygon with 11 sides. It's created by taking the second stellation of a hendecagon. A regular hendecagram has equal sides and equal angles.

It is one of four regular 11-sided star polygons, the other three being the small hendecagram, the great hendecagram, and the grand hendecagram. The name "hendecagram" is often used to describe any of these shapes.

Vertex coordinates[edit | edit source]

The vertex coordinates for a hendecagram are the same as those of the hendecagon.

External links[edit | edit source]