The Truncated Great Icosahedron

A non-convex semi-regular polyhedron.

The truncated great icosahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{6}
Faces
Symmetry
Group
5/2.6.6 2 5/2 | 3 60 90 12 20 A5×C2
Edge
Inter-Radius
= 1 + root5
2
  Edge
Circum-Radius
= root(58 + 18root5)
root109
Edge
Icosahedral Edge
= 10 + 3root5
6
  Edge
Dodecahedral Edge
= 12 + 5root5
19