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- Circle_packing abstract "This article describes the packing of circles on surfaces. For the related article on circle packing with a prescribed intersection graph, please see the circle packing theorem.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 all circles touch another. The associated "packing density", η, of an arrangement is the proportion of the surface covered by the circles. Generalisations can be made to higher dimensions – this is called sphere packing, which usually deals only with identical spheres.While the circle has a relatively low maximum packing density of 0.9069 on the Euclidean plane, it does not have the lowest possible. The "worst" shape to pack onto a plane is not known, but the smoothed octagon has a packing density of about 0.902414, which is the lowest maximum packing density known of any centrally-symmetric convex shape.Packing densities of concave shapes such as star polygons can be arbitrarily small.The branch of mathematics generally known as "circle packing" is concerned with the geometry and combinatorics of packings of arbitrarily-sized circles: these give rise to discrete analogs of conformal mapping, Riemann surfaces and the like.".
- Circle_packing thumbnail Citrus_fruits.jpg?width=300.
- Circle_packing wikiPageID "16879665".
- Circle_packing wikiPageRevisionID "585555648".
- Circle_packing hasPhotoCollection Circle_packing.
- Circle_packing subject Category:Circle_packing.
- Circle_packing comment "This article describes the packing of circles on surfaces. For the related article on circle packing with a prescribed intersection graph, please see the circle packing theorem.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 all circles touch another. The associated "packing density", η, of an arrangement is the proportion of the surface covered by the circles.".
- Circle_packing label "Circle packing".
- Circle_packing label "Empaquetamiento de círculos".
- Circle_packing sameAs Empaquetamiento_de_círculos.
- Circle_packing sameAs m.0409b1b.
- Circle_packing sameAs Q5121501.
- Circle_packing sameAs Q5121501.
- Circle_packing wasDerivedFrom Circle_packing?oldid=585555648.
- Circle_packing depiction Citrus_fruits.jpg.
- Circle_packing isPrimaryTopicOf Circle_packing.
