Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Configuration_(geometry)> ?p ?o }
- Configuration_(geometry) abstract "In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such that each point is incident to the same number of lines and each line is incident to the same number of points.Although certain specific configurations had been studied earlier (for instance by Thomas Kirkman in 1849), the formal study of configurations was first introduced by Theodor Reye in 1876, in the second edition of his book Geometrie der Lage, in the context of a discussion of Desargues' theorem. Ernst Steinitz wrote his dissertation on the subject in 1894, and they were popularized by Hilbert and Cohn-Vossen's 1932 book Anschauliche Geometrie, reprinted in English (Hilbert & Cohn-Vossen 1952).Configurations may be studied either as concrete sets of points and lines in a specific geometry, such as the Euclidean or projective planes (these are said to be realizable in that geometry), or as a type of abstract incidence geometry. In the latter case they are closely related to regular hypergraphs and biregular bipartite graphs, but with some additional restrictions: every two points of the incidence structure can be associated with at most one line, and every two lines can be associated with at most one point. That is, the girth of the corresponding bipartite graph (the Levi graph of the configuration) must be at least six.".
- Configuration_(geometry) thumbnail Complete-quads.svg?width=300.
- Configuration_(geometry) wikiPageExternalLink books?id=bnh2zkuTZr4C.
- Configuration_(geometry) wikiPageExternalLink v13i1r104.html.
- Configuration_(geometry) wikiPageID "7200539".
- Configuration_(geometry) wikiPageLength "14001".
- Configuration_(geometry) wikiPageOutDegree "70".
- Configuration_(geometry) wikiPageRevisionID "682413404".
- Configuration_(geometry) wikiPageWikiLink 10_(number).
- Configuration_(geometry) wikiPageWikiLink 1_(number).
- Configuration_(geometry) wikiPageWikiLink 229_(number).
- Configuration_(geometry) wikiPageWikiLink 31_(number).
- Configuration_(geometry) wikiPageWikiLink 3_(number).
- Configuration_(geometry) wikiPageWikiLink Arrangement_of_lines.
- Configuration_(geometry) wikiPageWikiLink Bipartite_graph.
- Configuration_(geometry) wikiPageWikiLink Biregular.
- Configuration_(geometry) wikiPageWikiLink Category:Configurations.
- Configuration_(geometry) wikiPageWikiLink Category:Hypergraphs.
- Configuration_(geometry) wikiPageWikiLink Category:Set_families.
- Configuration_(geometry) wikiPageWikiLink Complete_quadrangle.
- Configuration_(geometry) wikiPageWikiLink Complex_number.
- Configuration_(geometry) wikiPageWikiLink Complex_polytope.
- Configuration_(geometry) wikiPageWikiLink Complex_projective_plane.
- Configuration_(geometry) wikiPageWikiLink Cremona–Richmond_configuration.
- Configuration_(geometry) wikiPageWikiLink Cubic_curve.
- Configuration_(geometry) wikiPageWikiLink Cubic_plane_curve.
- Configuration_(geometry) wikiPageWikiLink Cubic_surface.
- Configuration_(geometry) wikiPageWikiLink Desargues_configuration.
- Configuration_(geometry) wikiPageWikiLink Desargues_theorem.
- Configuration_(geometry) wikiPageWikiLink Discrete_Mathematics_(journal).
- Configuration_(geometry) wikiPageWikiLink Discrete_and_Computational_Geometry.
- Configuration_(geometry) wikiPageWikiLink Duality_(projective_geometry).
- Configuration_(geometry) wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Configuration_(geometry) wikiPageWikiLink Ernst_Steinitz.
- Configuration_(geometry) wikiPageWikiLink Euclidean_plane.
- Configuration_(geometry) wikiPageWikiLink Fano_plane.
- Configuration_(geometry) wikiPageWikiLink Girth_(graph_theory).
- Configuration_(geometry) wikiPageWikiLink Golomb_ruler.
- Configuration_(geometry) wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Configuration_(geometry) wikiPageWikiLink Gray_graph.
- Configuration_(geometry) wikiPageWikiLink Hesse_configuration.
- Configuration_(geometry) wikiPageWikiLink Hypergraph.
- Configuration_(geometry) wikiPageWikiLink Incidence_geometry.
- Configuration_(geometry) wikiPageWikiLink Incidence_structure.
- Configuration_(geometry) wikiPageWikiLink Inflection_point.
- Configuration_(geometry) wikiPageWikiLink Isomorphic_(mathematics).
- Configuration_(geometry) wikiPageWikiLink Isomorphism.
- Configuration_(geometry) wikiPageWikiLink Klein_configuration.
- Configuration_(geometry) wikiPageWikiLink Kummer_configuration.
- Configuration_(geometry) wikiPageWikiLink Levi_graph.
- Configuration_(geometry) wikiPageWikiLink Mathematics.
- Configuration_(geometry) wikiPageWikiLink Matrix_(mathematics).
- Configuration_(geometry) wikiPageWikiLink Morphism_of_algebraic_varieties.
- Configuration_(geometry) wikiPageWikiLink Möbius_configuration.
- Configuration_(geometry) wikiPageWikiLink Möbius–Kantor_configuration.
- Configuration_(geometry) wikiPageWikiLink Pappus_configuration.
- Configuration_(geometry) wikiPageWikiLink Polygon.
- Configuration_(geometry) wikiPageWikiLink Projective_dual.
- Configuration_(geometry) wikiPageWikiLink Projective_geometry.
- Configuration_(geometry) wikiPageWikiLink Projective_plane.
- Configuration_(geometry) wikiPageWikiLink Projective_space.
- Configuration_(geometry) wikiPageWikiLink Regular_Polytopes_(book).
- Configuration_(geometry) wikiPageWikiLink Regular_graph.
- Configuration_(geometry) wikiPageWikiLink Regular_polytope.
- Configuration_(geometry) wikiPageWikiLink Reye_configuration.
- Configuration_(geometry) wikiPageWikiLink Reyes_configuration.
- Configuration_(geometry) wikiPageWikiLink Schläfli_double_six.
- Configuration_(geometry) wikiPageWikiLink Springer-Verlag.
- Configuration_(geometry) wikiPageWikiLink Springer_Science+Business_Media.
- Configuration_(geometry) wikiPageWikiLink Sylvester–Gallai_theorem.
- Configuration_(geometry) wikiPageWikiLink Theodor_Reye.
- Configuration_(geometry) wikiPageWikiLink Thomas_Kirkman.
- Configuration_(geometry) wikiPageWikiLink Triangle.
- Configuration_(geometry) wikiPageWikiLink Two-dimensional_space.
- Configuration_(geometry) wikiPageWikiLink File:Complete-quads.svg.
- Configuration_(geometry) wikiPageWikiLink File:Double_six.svg.
- Configuration_(geometry) wikiPageWikiLink File:Non-Desargues_configuration.svg.
- Configuration_(geometry) wikiPageWikiLinkText "Configuration (geometry)".
- Configuration_(geometry) wikiPageWikiLinkText "Configuration (geometry)#Duality of configurations".
- Configuration_(geometry) wikiPageWikiLinkText "Configurations".
- Configuration_(geometry) wikiPageWikiLinkText "configuration".
- Configuration_(geometry) wikiPageWikiLinkText "configurations".
- Configuration_(geometry) wikiPageWikiLinkText "form".
- Configuration_(geometry) wikiPageWikiLinkText "geometric configuration".
- Configuration_(geometry) wikiPageWikiLinkText "notation of configurations".
- Configuration_(geometry) hasPhotoCollection Configuration_(geometry).
- Configuration_(geometry) title "Configuration".
- Configuration_(geometry) urlname "Configuration".
- Configuration_(geometry) wikiPageUsesTemplate Template:Citation.
- Configuration_(geometry) wikiPageUsesTemplate Template:Harv.
- Configuration_(geometry) wikiPageUsesTemplate Template:Harvtxt.
- Configuration_(geometry) wikiPageUsesTemplate Template:Math.
- Configuration_(geometry) wikiPageUsesTemplate Template:Mathworld.
- Configuration_(geometry) wikiPageUsesTemplate Template:OEIS.
- Configuration_(geometry) wikiPageUsesTemplate Template:Reflist.
- Configuration_(geometry) subject Category:Configurations.
- Configuration_(geometry) subject Category:Hypergraphs.
- Configuration_(geometry) subject Category:Set_families.
- Configuration_(geometry) hypernym Incident.
- Configuration_(geometry) type MilitaryConflict.