Almost-tiling the plane by ellipses

被引：1

作者：

Kuperberg, K ^{[1
]}

Kuperberg, W

Matousek, J

Valtr, P

机构：

[1] Auburn Univ, Dept Math, Auburn, AL 36849 USA

[2] Charles Univ, Dept Appl Math, CR-11800 Prague 1, Czech Republic

[3] ETH Zurich, Inst Theoret Informat, CH-8092 Zurich, Switzerland

[4] Rutgers State Univ, DIMACS Ctr, Piscataway, NJ 08855 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1999年 / 22卷 / 03期

关键词：

Side Length; Circular Disk; Finite Packing;

D O I：

10.1007/PL00009466

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For any lambda > 1 we construct a periodic and locally finite packing of the plane with ellipses whose lambda-enlargement covers the whole plane. This answers a question of Imre Barany. On the other hand, we show that if C is a packing in the plane with circular disks of radius at most 1, then its (1 + 10(-5))-enlargement covers no square with side length 4.

引用

页码：367 / 375

页数：9

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