Asymptotic Behavior of Optimal Circle Packings in a Square

Canadian mathematical bulletin

关键词: asymptotic bound;    circle packing;   

DOI  :  10.4153/CMB-1999-044-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A lower bound on the number of points that can be placed in asquare of side $sigma$ such that no two points are within unitdistance from each other is proven. The result is constructive,and the series of packings obtained contains many conjecturallyoptimal packings.

【 授权许可】

Unknown