4/5/15 There are two varieties of Nested Polyhedra identified here: Connected and Unconnected.
The first kind include:
A) Double Hulled polyhedra and
B) Two or more polyhedra nested within each other and connected by Nanotubes or struts.
The second kind include two or more polyhedra inside another that are free to have unrestricted motion on the interior of the polyhedra. Coming some time in the future….