Homological series of icosahedral viruses and fullerenes

The icosahedral (spherical, i.e., of 3̅5̅m and 235 point group symmetry) fullerenes and viruses are shown to form a homological series. The mathematical system of icosahedral fullerenes is, at the same time, the morphological system of icosahedral viruses. It allows the prediction of their unknown forms and recognition of structural and, possibly, genetic relationships between them.