The Truncated Great Dodecahedron

A non-convex semi-regular polyhedron.

The truncated great dodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{5/2}
Faces
{10}
Faces
Symmetry
Group
5/2.10.10 2 5/2 | 5 60 90 12 12 A5×C2
Edge
Inter-Radius
= 5 – root5
5
  Edge
Circum-Radius
= root(34 – 10root5)
root41
Edge
In. Dodecahedral Edge
= 5 + 3root5
10
  Edge
Ex. Dodecahedral Edge
= root5 – 1
2