Small pentadecagram

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Small pentadecagram
Rank2
TypeRegular
Notation
Bowers style acronymSped
Coxeter diagramx15/2o ()
Schläfli symbol{15/2}
Elements
Edges15
Vertices15
Vertex figureDyad, length (1+5+30-65)/4
Measures (edge length 1)
Circumradius
Inradius
Area
Angle132°
Central density2
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
ConjugatesPentadecagon, Pentadecagram, Great pentadecagram
Convex corePentadecagon
Abstract & topological properties
Flag count30
Euler characteristic0
Schläfli type{15}
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

The small pentadecagram, or sped, is a non-convex polygon with 15 sides. It's created by taking the first stellation of a pentadecagon. A regular small pentadecagram has equal sides and equal angles.

It is one of three regular 15-sided star polygons, the other two being the pentadecagram and the great pentadecagram.

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