Dipentagon

Dipentagon
Rank	2
Type	Semi-uniform
Notation
Bowers style acronym	Dipeg
Coxeter diagram	x5y
Elements
Edges	5+5
Vertices	10
Vertex figure	Dyad
Measures (edge lengths a, b)
Circumradius	${\sqrt {\frac {5a^{2}+5b^{2}+5ab+(a^{2}+b^{2}+3ab){\sqrt {5}}}{10}}}$
Area	${\sqrt {25+10{\sqrt {5}}}}{\frac {a^{2}+b^{2}+2ab({\sqrt {5}}-1)}{4}}$
Angle	144°
Central density	1
Related polytopes
Army	Dipeg
Dual	Pentambus
Conjugate	Distellagram
Abstract & topological properties
Flag count	20
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	H2, order 10
Convex	Yes
Nature	Tame

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.

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".

• Klitzing, Richard. "Polygons"