论文标题
二进制碟片的密度:9条紧凑型包装
Density of Binary Disc Packings: The 9 Compact Packings
论文作者
论文摘要
如果其触点图是三角剖分,则平面中的圆盘堆积是紧凑的。 $ 9 $ r $的$ 9 $值使光盘的紧凑型填充Radii $ 1 $和$ r $。我们证明,对于这些$ 9 $的每个值,对于紧凑型包装,达到了Radii $ 1 $ 1 $和$ R $的所有包装上的最大密度(我们给出它及其密度)。
A disc packing in the plane is compact if its contact graph is a triangulation. There are $9$ values of $r$ such that a compact packing by discs of radii $1$ and $r$ exists. We prove, for each of these $9$ values, that the maximal density over all the packings by discs of radii $1$ and $r$ is reached for a compact packing (we give it as well as its density).