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Packing density

A packing density or packing fraction of a packing in some space is the fraction of the space filled by the figures making up the packing. In simplest terms, this is the ratio of the volume of bodies in a space to the volume of the space itself. In packing problems, the objective is usually to obtain a packing of the greatest possible density.

Optimal packing density, In compact spaces & In Euclidean space

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Optimal packing density

SupremumEuclidean motionsKepler conjectureUlam's packing conjectureTranslations
5 related topics

In compact spaces

CompactMeasure space
2 related topics

In Euclidean space

Euclidean spaceLimit superior and limit inferior
2 related topics

Overview

FractionPacking problems
2 related topics

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Overview

In compact spaces

In Euclidean space

Optimal packing density

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Map overview Semantic statistics

Packing density

Nodes16
Edges15
Triples13
Avg. degree1.88
Density0.125
Components1

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Packing density

Top relations

related to Optimal packing density · 9
Packing density → All, Euclidean, For, If, In, One, The, The Kepler, Ulam's
related to External links · 3
Packing density → Eric, MathWorld, Weisstein
related to In compact spaces · 1
Packing density → If

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Important terminology

packing density space displaystyle collection constant supply densities euclidean also upper convex body mu balls ball lower equal replaced bodies

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Packing densityrelated to External linksWeisstein0.60section
Packing densityrelated to External linksEric0.60section
Packing densityrelated to External linksMathWorld0.60section
Packing densityrelated to In compact spacesIf0.60section
Packing densityrelated to Optimal packing densityOne0.60section
Packing densityrelated to Optimal packing densityFor0.60section
Packing densityrelated to Optimal packing densityThe0.60section
Packing densityrelated to Optimal packing densityIf0.60section
Packing densityrelated to Optimal packing densityEuclidean0.60section
Packing densityrelated to Optimal packing densityIn0.60section
Packing densityrelated to Optimal packing densityThe Kepler0.60section
Packing densityrelated to Optimal packing densityUlam's0.60section

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