Compound of three pentagrams

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Compound of three pentagrams
Rank2
TypeRegular
Notation
Bowers style acronymTristar
Schläfli symbol{15/6}
Elements
Components3 pentagrams
Edges15
Vertices15
Vertex figureDyad, length (5-1)/2
Measures (edge length 1)
Circumradius
Inradius
Area
Angle36°
Central density6
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
DualCompound of three pentagrams
ConjugateCompound of three pentagons
Convex corePentadecagon
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

The tripentagram or tristar is a polygon compound composed of three pentagrams. As such it has 15 edges and 15 vertices.

It is the fifth stellation of the pentadecagon.

Its quotient prismatic equivalent is the pentagrammic triorthowedge, which is four-dimensional.

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