The Great Icosidodecahedron

A non-convex semi-regular polyhedron.

The great icosidodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{3}
Faces
Symmetry
Group
5/2.3.5/2.3 2 | 3 5/2 30 60 12 20 A5×C2
Edge
Inter-Radius
= 2root(5 + 2root5)
root5
  Edge
Circum-Radius
= 1 + root5
2
Edge
Icosahedral Edge
= 7 + 3root5
4
  Edge
Dodecahedral Edge
= 7 + 3root5
4