The last post here featured the small cubicuboctahedron (one of the uniform solids, a group of polyhedra I’m still learning), so naturally, next, I went looking for the great cubicuboctahedron. Here it is:

This polyhedron comes with a long and interesting stellation-series. I plucked out the ones I liked best, and they are shown below.

I made these virtual models using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.