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 asymptotic bound, circle packing

MSC Classifications:

52C15 show english descriptions Packing and covering in $2$ dimensions [See also 05B40, 11H31] 52C15 - Packing and covering in $2$ dimensions [See also 05B40, 11H31]

top of page | contact us | social media | privacy | site map