On a Relation Between Packing and Covering Densities of Convex Bodies

被引：0

作者：

Roman Prosanov

机构：

[1] Université de Fribourg,

[2] Moscow Institute of Physics and Technology,undefined

[3] Technische Universität Wien Freihaus,undefined

来源：

Discrete & Computational Geometry | 2021年 / 65卷

关键词：

Packings; Coverings; The Kuperberg conjecture;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that a convex body admits a translative dense packing in Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^d$$\end{document} if and only if it admits a translative economical covering.

引用

页码：1028 / 1037

页数：9

共 50 条

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[J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2021, 65 (04) : 1028 - 1037
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