The Icosidodecatruncated Icosidodecahedron

A non-convex semi-regular polyhedron.

The icosidodecatruncated icosidodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{10/3}
Faces
{6}
Faces
{10}
Faces
Symmetry
Group
10/3.6.10 3 5/3 5 | 120 180 12 20 12 A5×C2
Edge
Inter-Radius
= 2
root15
  Edge
Circum-Radius
= 1
2
Edge
Icosahedral Edge
= 3 + root5
12
  Edge
In. Dodecahedral Edge
= 5 + 2root5
10
  Edge
Ex. Dodecahedral Edge
= 5 + 3root5
20