Biomedical subjects
Publications and source records attributed to Y L Voytekhovsky.
A figure giving the point groups for all combinatorially non-isomorphic C20 to C60 fullerenes (5770 in common) is contributed. The fullerenes of 6 to 120 automorphism group orders (80 in common) are drawn in the Shlegel projections and characterized by the point groups.
All the simple 12- to 20-hedra with no triangular and quadrilateral facets (118 in common) are calculated in the Schlegel projections. Among them, all the fullerenes with 20 to 36 vertices (35 in common) are found. Thus, the gamma operation is eliminated from the Fedorov algorithm up to a 21-hedra generating procedure.
A table giving the statistics of the visible symmetry point groups for all non-isomorphic 4- to 8-hedra and simple 9- to 11-hedra is presented. Some disagreements between the previous data are eliminated. The main tendency for n-hedra to be asymmetric with increasing n is briefly discussed.