Great pentadecagram

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Great pentadecagram
Rank2
TypeRegular
Notation
Bowers style acronymGepad
Coxeter diagramx15/7o ()
Schläfli symbol{15/7}
Elements
Edges15
Vertices15
Vertex figureDyad, length (-1-5+30-65)/4
Measures (edge length 1)
Circumradius
Inradius
Area
Angle12°
Central density7
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
DualGreat pentadecagram
ConjugatesPentadecagon, Small pentadecagram, Pentadecagram
Convex corePentadecagon
Abstract & topological properties
Flag count30
Euler characteristic0
Schläfli type{15}
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

The great pentadecagram, or gepad, is a non-convex polygon with 15 sides. It's created by taking the sixth stellation of a pentadecagon. A regular great 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 pentadecagram.

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