The Dodecadodecahedron

A non-convex semi-regular polyhedron.

The dodecadodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{5}
Faces
Symmetry
Group
5/2.5.5/2.5 3 | 3 5/2 30 60 12 12 A5×C2
Edge
Inter-Radius
= 2
root3
  Edge
Circum-Radius
= 1
Edge
In. Dodecahedral Edge
= 2 + root5
2
  Edge
Ex. Dodecahedral Edge
= 3 + root5
4