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On the Densest Packing of Polycylinders in Any Dimension

Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n.

Detalles Bibliográficos
Autor principal: Kusner, Wöden
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791485/
https://www.ncbi.nlm.nih.gov/pubmed/27069293
http://dx.doi.org/10.1007/s00454-016-9766-6
Descripción
Sumario:Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n.