A novel class of polycoronands is described with each coronand structu
re replacing a smaller sized ring on the surface of a fullerenic polyh
edron. The coronand structures evidently relieve some curvature strain
. Further through the complexation of metal ions in the coronand struc
tures, there arises the possibility of closing and opening these holes
, thereby allowing not only the storage of another species in the endo
hedral cavity, but also the controlling of the circumstances for it to
enter or leave. Results and rules for the stabilities of the icosahed
ral-symmetry species are reported.