Complex dipentagon

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Complex dipentagon
4-simplex t0.svg
Rank2
TypeSemi-uniform
SpaceSpherical
Elements
Edges5 + 5
Vertices5
Vertex figureTetrad
Measures (minor edge length 1)
Perimeter
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.