Compound of three pentagons

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Compound of three pentagons
Rank2
TypeRegular
Notation
Bowers style acronymTripen
Schläfli symbol{15/3}
Elements
Components3 pentagons
Edges15
Vertices15
Vertex figureDyad, length (1+5)/2
Measures (edge length 1)
Circumradius
Inradius
Area
Angle108°
Central density3
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
DualCompound of three pentagons
ConjugateCompound of three pentagrams
Convex corePentadecagon
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

The tripentagon or tripen is a polygon compound composed of three pentagons. As such it has 15 edges and 15 vertices.

It is the second stellation of the pentadecagon.

Its quotient prismatic equivalent is the 15-5 step prism, which is four-dimensional.

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