On the density of unit balls touching a unit cylinder

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1995 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 64, pages 459-464 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Szabó, László;

doi: 10.1007/bf01197225

On the density of unit balls touching a unit cylinder

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Abstract

We give reasonably good upper bounds for the density of unit balls touching an infinite unit cylinder without overlapping each other in the 4-, 6- and 8-dimensional Euclidean spaces.

Related Organizations

Eötvös Loránd University
Hungary

Keywords

density, infinite unit cylinder, Inequalities and extremum problems involving convexity in convex geometry, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Other problems of combinatorial convexity, unit ball

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