Anzeige
Erschienen in:
2003 | OriginalPaper | Buchkapitel
A Discrete Isoperimetric Inequality and Its Application to Sphere Packings
verfasst von : Peter Scholl, Achill Schürmann, Jörg M. Wills
Erschienen in: Discrete and Computational Geometry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We consider finite packings of equal spheres in Euclidean 3–space E3. The convex hull of the sphere centers is the packing polytope. In the first part of the paper we prove a tight inequality between the surface area of the packing polytope and the number of sphere centers on its boundary, and investigate in particular the equality cases. The inequality follows from a more general inequality for cell complexes on packing polytopes.