On the densest packing of polycylinders in any dimension

Wöden Kusner

doi:10.1007/s00454-016-9766-6

On the densest packing of polycylinders in any dimension

Wöden Kusner

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders $\mathbb{D}^2\times \mathbb{R}^n$, showing that the optimal packing density is $\pi/\sqrt{12}$ in any dimension.

Originalsprache	undefiniert/unbekannt
Seiten (von - bis)	638-641
Fachzeitschrift	Discrete & Computational Geometry
Jahrgang	55
Ausgabenummer	3
DOIs	https://doi.org/10.1007/s00454-016-9766-6
Publikationsstatus	Veröffentlicht - 2016

ASJC Scopus subject areas

Geometrie und Topologie

Treatment code (Nähere Zuordnung)

Theoretical

Zugriff auf Dokument

10.1007/s00454-016-9766-6

Dieses zitieren

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