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- Flexible_polyhedron abstract "In geometry, a flexible polyhedron is a polyhedral surface that allows continuous non-rigid deformations such that all faces remain rigid. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also true in higher dimensions).The first examples of flexible polyhedra, now called Bricard's octahedra, were discovered by Raoul Bricard (1897). They are self-intersecting surfaces isometric to an octahedron. The first example of a flexible non-self-intersecting surface in R3, the Connelly sphere, was discovered by Robert Connelly (1977).".
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- Flexible_polyhedron wikiPageExternalLink 1.html.
- Flexible_polyhedron wikiPageExternalLink item?id=PMIHES_1977__47__333_0.
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- Flexible_polyhedron wikiPageLength "5262".
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- Flexible_polyhedron wikiPageRevisionID "693082288".
- Flexible_polyhedron wikiPageWikiLink 4-polytope.
- Flexible_polyhedron wikiPageWikiLink Category:Discrete_geometry.
- Flexible_polyhedron wikiPageWikiLink Category:Mathematics_of_rigidity.
- Flexible_polyhedron wikiPageWikiLink Category:Nonconvex_polyhedra.
- Flexible_polyhedron wikiPageWikiLink Category:Polyhedra.
- Flexible_polyhedron wikiPageWikiLink Cauchys_theorem_(geometry).
- Flexible_polyhedron wikiPageWikiLink Convex_set.
- Flexible_polyhedron wikiPageWikiLink Deformation_(engineering).
- Flexible_polyhedron wikiPageWikiLink Dennis_Sullivan.
- Flexible_polyhedron wikiPageWikiLink Elimination_theory.
- Flexible_polyhedron wikiPageWikiLink Geometry.
- Flexible_polyhedron wikiPageWikiLink Hellmuth_Stachel.
- Flexible_polyhedron wikiPageWikiLink Hilberts_third_problem.
- Flexible_polyhedron wikiPageWikiLink Homeomorphism.
- Flexible_polyhedron wikiPageWikiLink Hyperbolic_geometry.
- Flexible_polyhedron wikiPageWikiLink Isometry.
- Flexible_polyhedron wikiPageWikiLink Mean_curvature.
- Flexible_polyhedron wikiPageWikiLink Octahedron.
- Flexible_polyhedron wikiPageWikiLink Orientability.
- Flexible_polyhedron wikiPageWikiLink Polyhedron.
- Flexible_polyhedron wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Flexible_polyhedron wikiPageWikiLink Rigid_origami.
- Flexible_polyhedron wikiPageWikiLink Sphere.
- Flexible_polyhedron wikiPageWikiLink Structural_rigidity.
- Flexible_polyhedron wikiPageWikiLink Surface.
- Flexible_polyhedron wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Flexible_polyhedron wikiPageWikiLink Volume.
- Flexible_polyhedron wikiPageWikiLinkText "Flexible polyhedra".
- Flexible_polyhedron wikiPageWikiLinkText "Flexible polyhedron".
- Flexible_polyhedron wikiPageWikiLinkText "flexible polyhedra".
- Flexible_polyhedron wikiPageWikiLinkText "flexible polyhedron".
- Flexible_polyhedron authorlink "Raoul Bricard".
- Flexible_polyhedron authorlink "Robert Connelly".
- Flexible_polyhedron first "Anke".
- Flexible_polyhedron first "I. Kh.".
- Flexible_polyhedron first "I.".
- Flexible_polyhedron first "Raoul".
- Flexible_polyhedron first "Robert".
- Flexible_polyhedron issn "138".
- Flexible_polyhedron issn "42".
- Flexible_polyhedron issue "1".
- Flexible_polyhedron issue "2".
- Flexible_polyhedron journal "Beiträge zur Algebra und Geometrie. Contributions to Algebra and Geometry".
- Flexible_polyhedron journal "Rossiĭskaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk".
- Flexible_polyhedron last "Bricard".
- Flexible_polyhedron last "Connelly".
- Flexible_polyhedron last "Sabitov".
- Flexible_polyhedron last "Walz".
- Flexible_polyhedron mr "1339277".
- Flexible_polyhedron mr "1447981".
- Flexible_polyhedron pages "1".
- Flexible_polyhedron pages "223".
- Flexible_polyhedron title "Bellows conjecture".
- Flexible_polyhedron title "Flexible polyhedron".
- Flexible_polyhedron title "On the problem of the invariance of the volume of a deformable polyhedron".
- Flexible_polyhedron title "The bellows conjecture".
- Flexible_polyhedron url 1.html.
- Flexible_polyhedron urlname "BellowsConjecture".
- Flexible_polyhedron urlname "FlexiblePolyhedron".
- Flexible_polyhedron volume "38".
- Flexible_polyhedron volume "50".
- Flexible_polyhedron wikiPageUsesTemplate Template:Citation.
- Flexible_polyhedron wikiPageUsesTemplate Template:Harvs.
- Flexible_polyhedron wikiPageUsesTemplate Template:MathWorld.
- Flexible_polyhedron year "1897".
- Flexible_polyhedron year "1977".
- Flexible_polyhedron year "1995".
- Flexible_polyhedron year "1997".
- Flexible_polyhedron subject Category:Discrete_geometry.
- Flexible_polyhedron subject Category:Mathematics_of_rigidity.
- Flexible_polyhedron subject Category:Nonconvex_polyhedra.
- Flexible_polyhedron subject Category:Polyhedra.
- Flexible_polyhedron hypernym Surface.
- Flexible_polyhedron type Bone.
- Flexible_polyhedron type Mechanic.
- Flexible_polyhedron type Polytope.
- Flexible_polyhedron type Redirect.
- Flexible_polyhedron comment "In geometry, a flexible polyhedron is a polyhedral surface that allows continuous non-rigid deformations such that all faces remain rigid. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also true in higher dimensions).The first examples of flexible polyhedra, now called Bricard's octahedra, were discovered by Raoul Bricard (1897). They are self-intersecting surfaces isometric to an octahedron.".
- Flexible_polyhedron label "Flexible polyhedron".
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- Flexible_polyhedron sameAs Fleksebla_pluredro.
- Flexible_polyhedron sameAs m.027wjtb.
- Flexible_polyhedron sameAs Изгибаемый_многогранник.
- Flexible_polyhedron sameAs Згинаний_многогранник.
- Flexible_polyhedron sameAs Q3889052.
- Flexible_polyhedron wasDerivedFrom Flexible_polyhedron?oldid=693082288.
- Flexible_polyhedron isPrimaryTopicOf Flexible_polyhedron.