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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 wikiPageRevisionID "605316987".
- Kissing_number_problem hasPhotoCollection Kissing_number_problem.
- Kissing_number_problem subject Category:Discrete_geometry.
- Kissing_number_problem subject Category:Packing_problem.
- Kissing_number_problem type Abstraction100002137.
- Kissing_number_problem type Attribute100024264.
- Kissing_number_problem type Condition113920835.
- Kissing_number_problem type Difficulty114408086.
- Kissing_number_problem type MathematicalProblems.
- Kissing_number_problem type Problem114410605.
- Kissing_number_problem type State100024720.
- 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 label "Kusgetal".
- Kissing_number_problem label "Kusszahl".
- Kissing_number_problem label "Número de osculación".
- Kissing_number_problem label "Número de osculação".
- Kissing_number_problem label "Контактное число".
- Kissing_number_problem label "مسألة عدد التقبيل".
- Kissing_number_problem label "接吻数問題".
- Kissing_number_problem sameAs Kusszahl.
- 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 Q1371530.
- Kissing_number_problem sameAs Q1371530.
- Kissing_number_problem sameAs Kissing_number_problem.
- Kissing_number_problem wasDerivedFrom Kissing_number_problem?oldid=605316987.
- Kissing_number_problem depiction Kissing-1d.svg.
- Kissing_number_problem isPrimaryTopicOf Kissing_number_problem.
