Inequalities between lattice packing and covering densities of centrally symmetric plane convex bodies

被引：0
作者：
D. Ismailescu
机构：
[1] New York University,Courant Institute of Mathematical Sciences
来源：
Discrete & Computational Geometry | 2001年 / 25卷
关键词：
Convex Body; Plane Lattice; Affine Transformation; Lattice Packing; Lattice Arrangement;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a family C of plane convex bodies, let Ω, (C) be the set of all pairs (x, y) with the property that there exists K ∈ C such that ϑ(K) = x and δ(K) = y, where ϑ(K) and δ(K) denote the densities of the thinnest covering and the densest packing of the plane with copies of K, respectively. The set Ω(C) is defined analogously, with the difference that we restrict our attention to lattice packings and coverings.
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页码：365 / 388
页数：23
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