The truncated cuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron.

This polyhedron can be considered a member of a sequence of uniform patterns with vertex configuration (4.6.2p) and Coxeter-Dynkin diagram .
 For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings.
For p < 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling.

It is first in a series of cantitruncated hypercubes:
The truncated cuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron.
This polyhedron can be considered a member of a sequence of uniform patterns with vertex configuration (4.6.2p) and Coxeter-Dynkin diagram .  For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings. For p < 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling.
It is first in a series of cantitruncated hypercubes:
Truncated cuboctahedron