Abstract
The discovery of the famous fullerene has raised an interest in the study of other candidates for a modeling of carbon molecules. Motivated by a P. Fowler's question Delgado Friedrichs and Deza defined I(a,b)-fulleroids as cubic convex polyhedra having only a-gonal and b-gonal faces and the symmetry groups isomorphic with the rotation group of the regular icosahedron. In this note we prove that for every n≥8 there exist infinitely many I(5,n)-fulleroids. This answers positively questions posed recently by Delgado Friedrichs and Deza.
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Jendrol', S., Trenkler, M. More Icosahedral Fulleroids. Journal of Mathematical Chemistry 29, 235–243 (2001). https://doi.org/10.1023/A:1010990901493
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DOI: https://doi.org/10.1023/A:1010990901493