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Sphere packing

In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space. However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes…

Hypersphere packing, Regular packing & Unequal sphere packing

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Overview

Classification and terminology

Regular packing

Irregular packing

Hypersphere packing

Unequal sphere packing

Hyperbolic space

Touching pairs, triplets, and quadruples

Other spaces

Bibliography

Advanced semantic analysis

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Map overview Semantic statistics

Sphere packing

Nodes78
Edges77
Triples72
Avg. degree1.97
Density0.025641
Components1

How this topic connects Entity context

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Sphere packing

Top relations

related to Bibliography · 18
Sphere packing → Aste, Bibcode, Conway, Groups, Institute, ISBN, Lattices, London, Perfect Packing, Physics Publishing, Scientific American, Sloane, Sphere Packings, Spheres, Springer, The Packing, The Pursuit, Weaire
related to External links · 16
Sphere packing → April, Archived, Circle Packing, Dana Mackenzie, Database, Densest Packing, Dorozinski, Eric, Erik Agrell, Kugelpackungen, MathWorld, May, New Scientist, Sphere Packing Applet, Wayback Machine Sphere Packing, Weisstein
related to Other spaces · 13
Sphere packing → Conway, Euclidean, For, Golay, Groups, Hamming, Lattice, Lattices, Leech, Sloane, Sphere, Sphere Packings, There
related to Hyperbolic space · 7
Sphere packing → Although, Böröczky, Despite, Ford, In, Schläfli, The
related to Touching pairs, triplets, and quadruples · 7
Sphere packing → Calgary, Euclidean, In, Karoly Bezdek, Samuel Reid, The, University
related to Hypersphere packing · 4
Sphere packing → Comparatively, In, Some, The
related to Jammed packings with a low density · 2
Sphere packing → Packings, The
is a · 1
Sphere packing → arrangement of non-overlapping spheres within a containing space
see also · 1
Sphere packing → Close-packing

Important terminology Word statistics

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Important terminology

packing spheres sphere density lattice space packings arrangement dimensions known regular one densest close-packed possible problem hyperbolic two jammed called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sphere packingis aarrangement of non-overlapping spheres within a containing space0.90text
hyperbolic space.A typical sphere packing problem is to find an arrangement in which the spheres fill as much of the space as possibleinstance ofor to non-Euclidean spaces0.80text
ionic crystalsinstance ofStructures are known that exceed the close packing density for radius ratios up to 0.659786.Upper bounds for the density that can be obtained in such binary packings have also b…0.80text
the stoichiometry is constrained by the charges of the constituent ionsinstance ofStructures are known that exceed the close packing density for radius ratios up to 0.659786.Upper bounds for the density that can be obtained in such binary packings have also b…0.80text
Sphere packingrelated to BibliographyAste0.60section
Sphere packingrelated to BibliographyWeaire0.60section
Sphere packingrelated to BibliographyThe Pursuit0.60section
Sphere packingrelated to BibliographyPerfect Packing0.60section
Sphere packingrelated to BibliographyLondon0.60section
Sphere packingrelated to BibliographyInstitute0.60section
Sphere packingrelated to BibliographyPhysics Publishing0.60section
Sphere packingrelated to BibliographyISBN0.60section

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    Min side: 3
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