Publicación: Esferas hiperoctaédricas centralmente simétricas
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Universidad Industrial de Santander
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A class Rn of central n-dimensional 2n-topes named Bn and norms F are coined so that the closed spheres with respect to F are polytopes Bn. Conversely, each Bn is* closed unitary sphere with respect to a norm F on Rn. In both cases F is the sum of n absolute values, so that F is a generalization of the norm inducing the taxi-cab metric. Particulary the cross polytope Bn belongs to Bn and B3 is just the family of the centrally symmetric solid octahedra. Bn is defined and characterized as a locus whose points satisfy a metric condition.