Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Circle_packing> ?p ?o }
- 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 wikiPageExternalLink Notices_article.pdf.
- Circle_packing wikiPageID "16879665".
- Circle_packing wikiPageLength "10339".
- Circle_packing wikiPageOutDegree "68".
- Circle_packing wikiPageRevisionID "677603115".
- Circle_packing wikiPageWikiLink Apollonian_gasket.
- Circle_packing wikiPageWikiLink Axel_Thue.
- Circle_packing wikiPageWikiLink Category:Circle_packing.
- Circle_packing wikiPageWikiLink Circle_packing_in_a_circle.
- Circle_packing wikiPageWikiLink Circle_packing_in_a_square.
- Circle_packing wikiPageWikiLink Circle_packing_theorem.
- Circle_packing wikiPageWikiLink Conformal_map.
- Circle_packing wikiPageWikiLink Conformal_mapping.
- Circle_packing wikiPageWikiLink Constellation_diagram.
- Circle_packing wikiPageWikiLink Dodecagon.
- Circle_packing wikiPageWikiLink Elongated_triangular_tiling.
- Circle_packing wikiPageWikiLink Euclidean_plane.
- Circle_packing wikiPageWikiLink Geometry.
- Circle_packing wikiPageWikiLink Hexagon.
- Circle_packing wikiPageWikiLink Hexagonal_lattice.
- Circle_packing wikiPageWikiLink Hexagonal_tiling.
- Circle_packing wikiPageWikiLink Honeycomb.
- Circle_packing wikiPageWikiLink Intersection_graph.
- Circle_packing wikiPageWikiLink Inversive_distance.
- Circle_packing wikiPageWikiLink Joseph-Louis_Lagrange.
- Circle_packing wikiPageWikiLink Joseph_Louis_Lagrange.
- Circle_packing wikiPageWikiLink Kepler_conjecture.
- Circle_packing wikiPageWikiLink László_Fejes_Tóth.
- Circle_packing wikiPageWikiLink Malfatti_circles.
- Circle_packing wikiPageWikiLink Modem.
- Circle_packing wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Circle_packing wikiPageWikiLink Origami.
- Circle_packing wikiPageWikiLink Packing_density.
- Circle_packing wikiPageWikiLink Packing_problem.
- Circle_packing wikiPageWikiLink Packing_problems.
- Circle_packing wikiPageWikiLink Phase-amplitude_space.
- Circle_packing wikiPageWikiLink Quadrature_amplitude_modulation.
- Circle_packing wikiPageWikiLink Recreational_mathematics.
- Circle_packing wikiPageWikiLink Rhombitrihexagonal_tiling.
- Circle_packing wikiPageWikiLink Riemann_surface.
- Circle_packing wikiPageWikiLink Riemann_surfaces.
- Circle_packing wikiPageWikiLink Robert_J._Lang.
- Circle_packing wikiPageWikiLink Smoothed_octagon.
- Circle_packing wikiPageWikiLink Snub_hexagonal_tiling.
- Circle_packing wikiPageWikiLink Snub_square_tiling.
- Circle_packing wikiPageWikiLink Snub_trihexagonal_tiling.
- Circle_packing wikiPageWikiLink Sphere_packing.
- Circle_packing wikiPageWikiLink Square_tiling.
- Circle_packing wikiPageWikiLink Star_polygon.
- Circle_packing wikiPageWikiLink Tammes_problem.
- Circle_packing wikiPageWikiLink Thomson_problem.
- Circle_packing wikiPageWikiLink Triangular_tiling.
- Circle_packing wikiPageWikiLink Trihexagonal_tiling.
- Circle_packing wikiPageWikiLink Truncated_hexagonal_tiling.
- Circle_packing wikiPageWikiLink Truncated_square_tiling.
- Circle_packing wikiPageWikiLink Truncated_trihexagonal_tiling.
- Circle_packing wikiPageWikiLink Two-dimensional_space.
- Circle_packing wikiPageWikiLink Uniform_tiling.
- Circle_packing wikiPageWikiLink File:2-d_dense_packing_r1.svg.
- Circle_packing wikiPageWikiLink File:Circle_packing_(hexagonal).svg.
- Circle_packing wikiPageWikiLink File:Circles_packed_in_square_15.svg.
- Circle_packing wikiPageWikiLink File:Citrus_fruits.jpg.
- Circle_packing wikiPageWikiLink File:Elongated_triangular_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Hexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Order_and_Chaos.tif.
- Circle_packing wikiPageWikiLink File:Rhombitrihexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Snub_hexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Snub_hexagonal_tiling_mirror_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Snub_square_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Square_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Triangular_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Trihexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Truncated_hexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Truncated_rhombitrihexagonal_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLink File:Truncated_square_tiling_circle_packing.png.
- Circle_packing wikiPageWikiLinkText "Circle packing".
- Circle_packing wikiPageWikiLinkText "Circle".
- Circle_packing wikiPageWikiLinkText "circle packing".
- Circle_packing wikiPageWikiLinkText "densest packing of disks".
- Circle_packing wikiPageWikiLinkText "hexagonal packing".
- Circle_packing wikiPageWikiLinkText "maximum packing density of circles".
- Circle_packing wikiPageWikiLinkText "packing a given number of circles".
- Circle_packing wikiPageWikiLinkText "packing circles".
- Circle_packing hasPhotoCollection Circle_packing.
- Circle_packing wikiPageUsesTemplate Template:Cite_book.
- Circle_packing wikiPageUsesTemplate Template:Cite_journal.
- Circle_packing wikiPageUsesTemplate Template:Clear.
- Circle_packing wikiPageUsesTemplate Template:Main.
- Circle_packing wikiPageUsesTemplate Template:Packing_problem.
- Circle_packing wikiPageUsesTemplate Template:Reflist.
- Circle_packing subject Category:Circle_packing.
- Circle_packing type Concept.
- 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 sameAs Category:Bounded_circle_packings.
- Circle_packing sameAs Empaquetamiento_de_círculos.
- Circle_packing sameAs Empacotamento_de_círculos.
- Circle_packing sameAs m.0409b1b.