Compound of five triangles

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Compound of five triangles
Rank2
TypeRegular
Notation
Bowers style acronymPentri
Schläfli symbol{15/5}
Elements
Components5 triangles
Edges15
Vertices15
Vertex figureDyad, length 1
Measures (edge length 1)
Circumradius
Inradius
Area
Angle60°
Central density5
Number of external pieces30
Level of complexity2
Related polytopes
ArmyPed, edge length
DualCompound of five triangles
ConjugateCompound of five triangles
Convex corePentadecagon
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(15), order 30
ConvexNo
NatureTame

The pentatriangle, or pentri, is a polygon compound composed of 5 triangles. As such it has 15 edges and 15 vertices. It is the fourth stellation of the pentadecagon.

Its quotient prismatic equivalent is the triangular pentachoroorthowedge, which is five-dimensional.

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