Pentadecagram

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Pentadecagram
Rank2
TypeRegular
Notation
Bowers style acronymPad
Coxeter diagramx15/4o
Schläfli symbol{15/4}
Elements
Edges15
Vertices15
Vertex figureDyad, length (1-5+30+65)/4
Measures (edge length 1)
Circumradius
Inradius
Area
Angle84°
Central density4
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
DualPentadecagram
ConjugatesPentadecagon, Small pentadecagram, Great pentadecagram
Convex corePentadecagon
Abstract & topological properties
Flag count30
Euler characteristic0
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

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

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

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