Inversion of Cuboctahedra

A set of 24 cuboctahedra (truncated cubes), arranged at the centers of the edges of a larger cubeoctahedron, and merged into one another to form a large solid, leaving a cuboctahedral space at the center. This was inverted (turned inside out by substituting 1/v for every vertex v), putting the center cuboctahedron at the outside of the inverted figure. Only the edges were plotted. Plotted in Mathematica, thickened in Meshlab.