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Circle packing

In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap. The associated packing density, η, of an arrangement is the proportion of the surface covered by the circles. Generalisations can be made…

Applications, Densest packing & In bounded areas

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Overview

Densest packing

Other packings

On the sphere

In bounded areas

Applications

Bibliography

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Map overview Semantic statistics

Circle packing

Nodes45
Edges44
Triples33
Avg. degree1.96
Density0.044444
Components1

How this topic connects Entity context

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Circle packing

Top relations

related to Bibliography · 14
Circle packing → American Mathematical Society, Curious, December, Interesting Geometry, ISBN, Kenneth, Mathematical Tale, New York, Notices, PDF, Penguin Books, Stephenson, The Penguin Dictionary, Wells
has application · 7
Circle packing → Circle, In, Lang, Performance, Quadrature, Robert, The
related to Other packings · 5
Circle packing → At, Böröczky, In, The, There
related to In bounded areas · 4
Circle packing → Circle, Packing, Specific, The
is a · 1
Circle packing → study of the arrangement of circles
see also · 1
Circle packing → Apollonian

Important terminology Word statistics

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Important terminology

packing circles circle packings density surface sphere hexagonal arrangement geometry problem known also points radius ratios sizes mathematics plane within

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Circle packingis astudy of the arrangement of circles0.90text
star polygons can be arbitrarily smallinstance ofPacking densities of concave shapes0.80text
Circle packinghas applicationQuadrature0.60section
Circle packinghas applicationThe0.60section
Circle packinghas applicationPerformance0.60section
Circle packinghas applicationIn0.60section
Circle packinghas applicationCircle0.60section
Circle packinghas applicationRobert0.60section
Circle packinghas applicationLang0.60section
Circle packingrelated to BibliographyWells0.60section
Circle packingrelated to BibliographyThe Penguin Dictionary0.60section
Circle packingrelated to BibliographyCurious0.60section

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    Min side: 3
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