SOME GENERALIZATIONS OF FULLERENES

 
    Since the discovery of molecule of  C_60 (truncated icosahedron),
the fullerenes, i.e. simple polyhedra with only 5- and 6-faces, became the main
object of Organic Chemistry. 
    We review some generalizations and analogues of them and construct infinite
series of some new ones:
    (i) with O. Delgado: fulleroids, i.e. simple icosahedral polyhedra with only
	5- and m-gonal faces;
    (ii) with M. Shtogrin: 4-dimensional analogues of fullerenes.
A non-polyhedral generalization - planar polycicles with only 5- and 6-faces
(interior ones) are also considered.