Geodesic
Asymptotic Behavior of Optimal Circle Packings in a Square
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 380-385

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DOI

A lower bound on the number of points that can be placed in a square of side $\sigma$ such that no two points are within unit distance from each other is proven. The result is constructive, and the series of packings obtained contains many conjecturally optimal packings.
DOI : 10.4153/CMB-1999-044-4
Mots-clés : 52C15, asymptotic bound, circle packing 
Nurmela, Kari J.; Östergård, Patric R. J.; Spring, Rainer aus dem. Asymptotic Behavior of Optimal Circle Packings in a Square. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 380-385. doi: 10.4153/CMB-1999-044-4
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     author = {Nurmela, Kari J. and \"Osterg\r{a}rd, Patric R. J. and Spring, Rainer aus dem},
     title = {Asymptotic {Behavior} of {Optimal} {Circle} {Packings} in a {Square}},
     journal = {Canadian mathematical bulletin},
     pages = {380--385},
     year = {1999},
     volume = {42},
     number = {3},
     doi = {10.4153/CMB-1999-044-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-044-4/}
}
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