# Complex dipentagon

Complex dipentagon
Rank2
TypeSemi-uniform
SpaceSpherical
Elements
Edges5 + 5
Vertices5
Measures (minor edge length 1)
Perimeter${\displaystyle \frac{15+5\sqrt{5}}{2}}$
Central density3
Related polytopes
ArmyPeg
ConjugateComplex dipentagon
Convex corePentagon
Abstract properties
Flag count20
Properties
SymmetryH2, order 10
ConvexNo

The complex dipentagon is a semi-uniform exotic polygonoid. It has 10 edges of two different lengths, with 2 of each at a vertex making a tetrad vertex figure.

It can be seen as a compound of a pentagon and a pentagram, with their vertices coinciding and merging into tetradic vertices.