论文标题
在包装单位圆圈中的Voronoi单元的最小区域
Minimal Area of a Voronoi Cell in a Packing of Unit Circles
论文作者
论文摘要
我们提供了一个新的独立证明,表明众所周知的事实是,单位圆圈中的Voronoi单元的最小区域等于$ 2 \ sqrt {3} $,并且最小值仅在完美的六边形上实现。证据很简短,在我们看来是启发性的。
We present a new self-contained proof of the well-known fact that the minimal area of a Voronoi cell in a unit circle packing is equal to $2\sqrt{3}$, and the minimum is achieved only on a perfect hexagon. The proof is short and, in our opinion, instructive.