We have considered the following classical fullerenes: C40 C84 and C92. All of them have tetrahedral symmetry. The nonclassical fullerenes C64 and C76 were proposed earlier. Now, we have outlined a constructive process to obtain both fullerenes. The Table obtained earlier is complemented with four nonclassical fullerenes C52, C60, C88, and C100. The mass difference Δm between the numbers of carbon atoms of the fullerenes forms the sequence: 8, 4, 12, 8, 4, 12, 8, 4, 12. Its periodicity has no gaps as before.