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Kissing number problem
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1	A reprint from American Scientist the magazine of Sigma Xi, The Scientific Research Society Add to Reading List Source URL: labs.cas.usf.edu Language: English - Date: 2012-10-16 19:18:56 Spheres Discrete geometry Packing problems Crystallography Sphere packing Differential topology Close-packing of equal spheres Kissing number problem 3-sphere Kepler conjecture Sphere Celestial spheres
2	JOURNAL OF MATHEMATICAL PHYSICS 51, 043302 共2010兲 Spherical codes, maximal local packing density, and the golden ratio Adam B. Hopkins,1 Frank H. Stillinger,1 and Salvatore Torquato1,2,3,4,a兲 1 Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2010-04-13 12:20:17 Spheres Crystallography Elementary geometry Packaging Packing problem Sphere packing Sphere Kissing number problem N-sphere Geometry Mathematics Discrete geometry
3	PHYSICAL REVIEW E 73, 031106 共2006兲 Exactly solvable disordered sphere-packing model in arbitrary-dimensional Euclidean spaces S. Torquato* Department of Chemistry, Princeton University, Princeton, New Jersey 08544, Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2008-12-08 18:20:02 Sphere packing Packing problem Kissing number problem Relaxation Discrete geometry Mathematics Geometry
4	PHYSICAL REVIEW E 81, 041305 共2010兲 Densest local sphere-packing diversity: General concepts and application to two dimensions Adam B. Hopkins and Frank H. Stillinger Department of Chemistry, Princeton University, P Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2010-04-20 14:04:09 Crystallography Spheres Sphere packing Packing problem Close-packing of equal spheres Kepler conjecture Sphere Kissing number problem N-sphere Geometry Discrete geometry Mathematics
5	PHYSICAL REVIEW E 83, Densest local sphere-packing diversity. II. Application to three dimensions Adam B. Hopkins and Frank H. Stillinger Department of Chemistry, Princeton University, Princeton, New Jerse Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2011-02-02 09:35:11 Spheres Crystallography Sphere packing Packing problem Close-packing of equal spheres Spherical code Sphere Kissing number problem N-sphere Geometry Mathematics Discrete geometry
6	PHYSICAL REVIEW E 74, 061308 共2006兲 Random sequential addition of hard spheres in high Euclidean dimensions S. Torquato* Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA; Program in Ap Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2008-12-08 18:20:03 Spheres Crystallography Sphere packing Packing problem Kissing number problem N-sphere Sphere Dimension Radial distribution function Geometry Mathematics Discrete geometry
7	JOURNAL OF MATHEMATICAL PHYSICS 49, 043301 共2008兲 Estimates of the optimal density of sphere packings in high dimensions A. Scardicchio,1,2,a兲 F. H. Stillinger,3,b兲 and S. Torquato2,3,4,5,6,c兲 1 Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2008-12-08 18:20:04 Sphere packing Packing problem Leech lattice Kissing number problem Covariance and contravariance Mathematics Discrete geometry Geometry
8	PHYSICAL REVIEW E 74, 041127 共2006兲 Packing hyperspheres in high-dimensional Euclidean spaces Monica Skoge,1 Aleksandar Donev,2,3 Frank H. Stillinger,4 and Salvatore Torquato2,3,4,5,* 1 Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2008-12-08 18:20:03 Spheres Crystallography Sphere packing Packing problem Close-packing of equal spheres N-sphere Geometrical frustration Kissing number problem Sphere Geometry Discrete geometry Mathematics
9	Tomaso Aste and Tiziana Di Matteo In the year 2000, exactly one hundred years after David Hilbert posed his now famous list of 23 open problems, The Clay Mathematics Institute (CMI) announced its seven Millennium Problems. (http: // www. Add to Reading List Source URL: www.austms.org.au Language: English - Date: 2005-11-21 19:37:44 Sphere packing Kepler conjecture Packing problem Johannes Kepler Kissing number problem Sphere Celestial spheres Honeycomb Circle packing Geometry Mathematics Discrete geometry
10	Sphere Packings, Lattices, and Kissing Configurations in Rn Stephanie Vance Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2012-11-20 19:02:58 Spheres Crystallography Sphere packing Packing problem Sphere Kissing number problem N-sphere Lattice Leech lattice Geometry Mathematics Discrete geometry