Polyhedral structures skin to fullerenes, some exhibiting 'Russian dol
l'-type structures, have recently been prepared in layered chalcogenid
e materials such as WS2 (see figure). The materials are expected to ex
hibit novel electronic-optical, and mechanical properties. The method
of producing the structures is presented, and the possibility of exten
ding the approach to high-T(c) superconductors is discussed.