Autor:	Tron, Emanuele
Rok vydání:	2014
Předmět:	Computer Science - Computational Geometry 52C15 05B40
Druh dokumentu:	Working Paper
Popis:	In this note we prove that, if $S_n$ is the greatest area of a rectangle which can be covered with $n$ unit disks, then $2\leq S_n/n<3 \sqrt{3}/2$, and these are the best constants; moreover, for $\Delta(n):=(3\sqrt{3}/2)n-S_n$, we have $0.727384<\liminf\Delta(n)/\sqrt{n}<2.121321$ and $0.727384<\limsup\Delta(n)/\sqrt{n}<4.165064$. Comment: 8 pages, 3 figures, some corrections made in version 2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.4545 Zobrazit plný text záznamu View this record from Arxiv