1. CMB 1999 (vol 42 pp. 380)
|Asymptotic Behavior of Optimal Circle Packings in a Square |
A lower bound on the number of points that can be placed in a square of side $\sigma$ such that no two points are within unit distance from each other is proven. The result is constructive, and the series of packings obtained contains many conjecturally optimal packings.
Keywords:asymptotic bound, circle packing