arXiv
Open Access
2014
A Note on Rectangle Covering with Congruent Disks
Emanuele Tron
Abstrak
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 $Δ(n):=(3\sqrt{3}/2)n-S_n$, we have $0.727384<\liminfΔ(n)/\sqrt{n}<2.121321$ and $0.727384<\limsupΔ(n)/\sqrt{n}<4.165064$.
Topik & Kata Kunci
Penulis (1)
E
Emanuele Tron
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2014
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- arXiv
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