The Small Icosicosidodecahedron

A non-convex semi-regular polyhedron.

The small icosicosidodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{3}
Faces
{6}
Faces
Symmetry
Group
5/2.6.3.6 3 5/2 | 3 60 120 12 20 20 A5×C2
Edge
Inter-Radius
= root(10 – 2root5)
root15
  Edge
Circum-Radius
= root(34 – 6root5)
root61
Edge
In. Icosahedral Edge
= 1 + root5
6
  Edge
Ex. Icosahedral Edge
= 11 + 3root5
38
  Edge
Dodecahedral Edge
= 3 + 2root5
11