Miller's Monster

This is a model of the edge skeleton of the great dirhombicosidodcahedron.  If you are reading this, then you might also already know that this is known as Miller's Monster, as, per legend, it haunted Jeffrey C. P. Miller when he was discovering it in the 1940's.  (It beats getting bombed by Jerry!)  Similarly, you might also know that these edges coincide with those of a surprisingly regular compound of twenty regular octahedra.