Geodesic
Disk Packings which have Non-Extreme Exponents
Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 341-344

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Let U be an open set in the Euclidean plane which has finite area. A complete (or solid) packing of U is a sequence of pairwise disjoint open disks C={D n}, each contained in U and whose total area equals that of U. A simple osculatory packing of U is one in which the disk Dn has, for each n, the largest radius of disks contained in (S- denotes the closure of the set U.) If rn is the radius of Dn, then the exponent of the packing, e(C, U) is the infimum of real numbers t for which In the sequel we refer to a complete packing simply as a packing. 
Boyd, David W. Disk Packings which have Non-Extreme Exponents. Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 341-344. doi: 10.4153/CMB-1972-061-8
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     title = {Disk {Packings} which have {Non-Extreme} {Exponents}},
     journal = {Canadian mathematical bulletin},
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     year = {1972},
     volume = {15},
     number = {3},
     doi = {10.4153/CMB-1972-061-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-061-8/}
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