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- Kissing_number_problem abstract "In geometry, a kissing number is defined as the number of non-overlapping unit spheres that can be arranged such that they each touch another given unit sphere. For a lattice packing the kissing number is the same for every sphere, but for an arbitrary sphere packing the kissing number may vary from one sphere to another. Other names for kissing number that have been used are Newton number (after the originator of the problem), and contact number.In general, the kissing number problem seeks the maximum possible kissing number for n-dimensional spheres in (n + 1)-dimensional Euclidean space. Ordinary spheres correspond to two-dimensional closed surfaces in three-dimensional space.Finding the kissing number when centers of spheres are confined to a line (the one-dimensional case) or a plane (two-dimensional case) is trivial. Proving a solution to the three-dimensional case, despite being easy to conceptualise and model in the physical world, eluded mathematicians until the mid-20th century. Solutions in higher dimensions are considerably more challenging, and only a handful of cases have been solved exactly. For others investigations have determined upper and lower bounds, but not exact solutions.".
- Kissing_number_problem thumbnail Kissing-1d.svg?width=300.
- Kissing_number_problem wikiPageExternalLink 0608426.
- Kissing_number_problem wikiPageExternalLink kiss.html.
- Kissing_number_problem wikiPageID "408555".
- Kissing_number_problem wikiPageLength "13914".
- Kissing_number_problem wikiPageOutDegree "47".
- Kissing_number_problem wikiPageRevisionID "679740907".
- Kissing_number_problem wikiPageWikiLink 16-cell_honeycomb.
- Kissing_number_problem wikiPageWikiLink 24-cell.
- Kissing_number_problem wikiPageWikiLink 2_22_honeycomb.
- Kissing_number_problem wikiPageWikiLink 3_31_honeycomb.
- Kissing_number_problem wikiPageWikiLink 5-demicubic_honeycomb.
- Kissing_number_problem wikiPageWikiLink A2_lattice.
- Kissing_number_problem wikiPageWikiLink A3_lattice.
- Kissing_number_problem wikiPageWikiLink Category:Discrete_geometry.
- Kissing_number_problem wikiPageWikiLink Category:Packing_problems.
- Kissing_number_problem wikiPageWikiLink Close-packing_of_equal_spheres.
- Kissing_number_problem wikiPageWikiLink Congruence_(geometry).
- Kissing_number_problem wikiPageWikiLink Convex_body.
- Kissing_number_problem wikiPageWikiLink Coordination_number.
- Kissing_number_problem wikiPageWikiLink Crystal_lattice.
- Kissing_number_problem wikiPageWikiLink Crystal_structure.
- Kissing_number_problem wikiPageWikiLink Cubic_close-packed.
- Kissing_number_problem wikiPageWikiLink Cubic_crystal_system.
- Kissing_number_problem wikiPageWikiLink D4_lattice.
- Kissing_number_problem wikiPageWikiLink D5_lattice.
- Kissing_number_problem wikiPageWikiLink David_Gregory_(mathematician).
- Kissing_number_problem wikiPageWikiLink Denis_Weaire.
- Kissing_number_problem wikiPageWikiLink Dimension.
- Kissing_number_problem wikiPageWikiLink Distance_geometry.
- Kissing_number_problem wikiPageWikiLink Distance_geometry_problem.
- Kissing_number_problem wikiPageWikiLink E6_lattice.
- Kissing_number_problem wikiPageWikiLink E7_lattice.
- Kissing_number_problem wikiPageWikiLink E8_lattice.
- Kissing_number_problem wikiPageWikiLink Equilateral_dimension.
- Kissing_number_problem wikiPageWikiLink Euclidean_space.
- Kissing_number_problem wikiPageWikiLink Gabriele_Nebe.
- Kissing_number_problem wikiPageWikiLink Geometry.
- Kissing_number_problem wikiPageWikiLink Hexagonal_close-packed.
- Kissing_number_problem wikiPageWikiLink Inequality_(mathematics).
- Kissing_number_problem wikiPageWikiLink Isaac_Newton.
- Kissing_number_problem wikiPageWikiLink Lattice_(group).
- Kissing_number_problem wikiPageWikiLink Leech_lattice.
- Kissing_number_problem wikiPageWikiLink N-sphere.
- Kissing_number_problem wikiPageWikiLink Neil_Sloane.
- Kissing_number_problem wikiPageWikiLink Quartic_function.
- Kissing_number_problem wikiPageWikiLink Regular_tetrahedron.
- Kissing_number_problem wikiPageWikiLink Reinhold_Hoppe.
- Kissing_number_problem wikiPageWikiLink Soddys_hexlet.
- Kissing_number_problem wikiPageWikiLink Sphere.
- Kissing_number_problem wikiPageWikiLink Sphere_packing.
- Kissing_number_problem wikiPageWikiLink Spherical_code.
- Kissing_number_problem wikiPageWikiLink Tetrahedral-octahedral_honeycomb.
- Kissing_number_problem wikiPageWikiLink Tetrahedron.
- Kissing_number_problem wikiPageWikiLink Translation_(geometry).
- Kissing_number_problem wikiPageWikiLink Triangular_tiling.
- Kissing_number_problem wikiPageWikiLink File:Kissing-1d.svg.
- Kissing_number_problem wikiPageWikiLink File:Kissing-2d.svg.
- Kissing_number_problem wikiPageWikiLink File:Kissing-3d.png.
- Kissing_number_problem wikiPageWikiLink File:Kissing_growth.svg.
- Kissing_number_problem wikiPageWikiLinkText "Kissing number problem".
- Kissing_number_problem wikiPageWikiLinkText "kiss".
- Kissing_number_problem wikiPageWikiLinkText "kissing number problem".
- Kissing_number_problem wikiPageWikiLinkText "kissing number".
- Kissing_number_problem hasPhotoCollection Kissing_number_problem.
- Kissing_number_problem wikiPageUsesTemplate Template:Packing_problem.
- Kissing_number_problem wikiPageUsesTemplate Template:Reflist.
- Kissing_number_problem subject Category:Discrete_geometry.
- Kissing_number_problem subject Category:Packing_problems.
- Kissing_number_problem comment "In geometry, a kissing number is defined as the number of non-overlapping unit spheres that can be arranged such that they each touch another given unit sphere. For a lattice packing the kissing number is the same for every sphere, but for an arbitrary sphere packing the kissing number may vary from one sphere to another.".
- Kissing_number_problem label "Kissing number problem".
- Kissing_number_problem sameAs مسألة_عدد_التقبيل.
- Kissing_number_problem sameAs Kusszahl.
- Kissing_number_problem sameAs Número_de_osculación.
- Kissing_number_problem sameAs Número_de_osculación.
- Kissing_number_problem sameAs 接吻数問題.
- Kissing_number_problem sameAs 입맞춤_수_문제.
- Kissing_number_problem sameAs Kusgetal.
- Kissing_number_problem sameAs Número_de_osculação.
- Kissing_number_problem sameAs m.024s4k.
- Kissing_number_problem sameAs Контактное_число.
- Kissing_number_problem sameAs Q1371530.
- Kissing_number_problem sameAs Q1371530.
- Kissing_number_problem wasDerivedFrom Kissing_number_problem?oldid=679740907.
- Kissing_number_problem depiction Kissing-1d.svg.
- Kissing_number_problem isPrimaryTopicOf Kissing_number_problem.