The Great Ditrigonal Dodecicosidodecahedron

A non-convex semi-regular polyhedron.

The great ditrigonal dodecicosidodecahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{10/3}
Faces
{3}
Faces
{5}
Faces
Symmetry
Group
3.10/3.5.10/3 3 5 | 5/3 60 120 12 20 12 A5×C2
Edge
Inter-Radius
= root(10 + 2root5)
root15
  Edge
Circum-Radius
= root(34 + 6root5)
root61
Edge
Icosahedral Edge
= 8 + 3root5
19
  Edge
In. Dodecahedral Edge
= 17 + 7root5
22
  Edge
Ex. Dodecahedral Edge
= 5 + 3root5
10