The Great Cubicuboctahedron

A non-convex semi-regular polyhedron.

The great cubicuboctahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{8/3}
Faces
{3}
Faces
{4}
Faces
Symmetry
Group
8/3.3.8/3.4 3 4 | 4/3 24 48 6 8 6 S4×C2
Edge
Inter-Radius
= root(2 + root2)   Edge
Circum-Radius
= 2root(5 + 2root2)
root17
Edge
In. Cubic Edge
= 1 + root2   Edge
Ex. Cubic Edge
= 1   Edge
Octahedral Edge
= 2 + 3root2
7