The Great Dodecicosidodecahedron

A non-convex semi-regular polyhedron.

The great dodecicosidodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{3}
Faces
{10/3}
Faces
Symmetry
Group
5/2.10/3.3.10/3 3 5/2 | 5/3 60 120 12 20 12 A5×C2
Edge
Inter-Radius
= root(10 + 4root5)
root5
  Edge
Circum-Radius
= 2root(11 + 4root5)
root41
Edge
Icosahedral Edge
= 19 + 9root5
22
  Edge
In. Dodecahedral Edge
= 15 + 7root5
10
  Edge
Ex. Dodecahedral Edge
= 7 + 3root5
6