(1999) Isaev, Sergey; Kornilov, M.; Ljubchuk, T.; Plakhotnyk, V.
The dodecahedron C20 structure has been modified to all possible fullerenes up to C40 with the help of simple isoperimetric transformations. The new type of rectangular 5õ12 matrix has been suggested for fullerenes. It has been shown that all modelled fullerenes have toroidal matrices (T-matrices). The symmetry character of T-matrices is correlated with the symmetry of corresponding fullerenes.