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Density of Binary Disc Packings: Playing with Stoichiometry
arXiv - CS - Discrete Mathematics Pub Date : 2020-06-25 , DOI: arxiv-2006.14232 Thomas Fernique
arXiv - CS - Discrete Mathematics Pub Date : 2020-06-25 , DOI: arxiv-2006.14232 Thomas Fernique
We consider the packings in the plane of discs of radius $1$ and $\sqrt{2}-1$
when the proportions of each type of disc are fixed. The maximal density is
determined and the densest packings are described. A phase separation
phenomenon appears when there is an excess of small discs.
中文翻译:
二元圆盘填料的密度:玩转化学计量学
当每种类型的圆盘的比例固定时,我们考虑半径为 $1$ 和 $\sqrt{2}-1$ 的圆盘平面内的填料。确定最大密度并描述最致密的填料。当小圆盘过多时,就会出现相分离现象。
更新日期:2020-06-29
中文翻译:
二元圆盘填料的密度:玩转化学计量学
当每种类型的圆盘的比例固定时,我们考虑半径为 $1$ 和 $\sqrt{2}-1$ 的圆盘平面内的填料。确定最大密度并描述最致密的填料。当小圆盘过多时,就会出现相分离现象。