We consider several fullerenes with cubic symmetry, this means that the graph associated with the fullerene has six faces and eight vertices. One of them is C24 with octagonal faces and triangular vertex. Then, fullerene C32 has a more elaborated structure, because is formed by six squares, and twelve hexagons. The next fullerene that we review is C48 which is formed by six octagons, eight hexagons, and twelve squares. The three previous fullerenes are well known. Our following fullerene is C80 with six faces integrated by four heptagons, and one centred square. Then, we present C128 with six faces formed by five hexagons, and two heptagons, with vertex formed by three pentagons, each of them. Furthermore, we consider the classical fullerene C152 with six faces integrated by six hexagons with one centred hexagon. Finally, we present C164 which is formed by pentagons, hexagons, and heptagons.
Abstract-Several works on nonclassical fullerenes with heptagons have mainly considered the case with just one heptagon. We present several nonclassical fullerenes with pentagons, hexagons and two, three, or more heptagons.
A Fullerene with pentagons, hexagons, and heptagons is considered. The number of carbons is 458. It contains 8 heptagonal rings, 21 pentagons, and 212 hexagons.
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