# Dipentagon

Dipentagon
Rank2
TypeSemi-uniform
SpaceSpherical
Notation
Bowers style acronymDipeg
Coxeter diagramx5y
Elements
Edges5+5
Vertices10
Measures (edge lengths a, b)
Circumradius${\displaystyle \sqrt{\frac{5a^2+5b^2+5ab+(a^2+b^2+3ab)\sqrt5}{10}}}$
Area${\displaystyle \sqrt{25+10\sqrt5}\frac{a^2+b^2+2ab(\sqrt5-1)}{4}}$
Angle144°
Central density1
Related polytopes
ArmyDipeg
DualPentambus
ConjugateDistellagram
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryH2, order 10
ConvexYes
NatureTame

The dipentagon is a convex semi-uniform decagon. As such it has 10 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a dipentagon measure 144°. If the side lengths are equal, the result is the regular decagon.