[1] It is represented by the Schläfli symbol rr{4,3⁄2} and Coxeter-Dynkin diagram of .
This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron.
Cartesian coordinates for the vertices of a nonconvex great rhombicuboctahedron centered at the origin with edge length 1 are all the permutations of
It shares the vertex arrangement with the convex truncated cube.
It has the same vertex figure as the pseudo great rhombicuboctahedron, which is not a uniform polyhedron.