The Cuboctatruncated Cuboctahedron

A non-convex semi-regular polyhedron.

The Cuboctatruncated Cuboctahedron is one of the stellated archimedians.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{8/3}
Faces
{6}
Faces
{8}
Faces
Symmetry
Group
8/3.6.8 3 4/3 4 | 48 72 6 8 6 S4×C2
Edge
Inter-Radius
= root2
root3
  Edge
Circum-Radius
= 2
root7
Edge
In. Cubic Edge
= 1 + root2   Edge
Ex. Cubic Edge
= root2 – 1   Edge
Octahedral Edge
= root2
3