title: Nesting of fullerenes and Frank-Kasper polyhedra.
abstract: The duality relationship between fullerenes and Frank-Kasper polyhedra suggests that these two families of polyhedra appear nested in solid state structures. Magic numbers, described by simple mathematical relationships, identify four families of fullerenes with tetrahedral and icosahedral symmetries.
authors.affiliation: Departament de Química Inorgànica, and Centre Especial de Recerca en Química Teòrica (CeRQT), Universitat de Barcelona, Martí i Franquès 1-11, 08028, Barcelona, Spain. santiago@qi.ub.es
authors.forename: Santiago
authors.initials: S
authors.lastname: Alvarez