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- Bernard_Morin abstract "Bernard Morin (French: [mɔʁɛ̃]; born 1931) is a French mathematician, specifically a topologist, who is now retired. He has been blind since age 6 due to glaucoma, but his blindness did not prevent him from having a successful career in mathematics.Morin was a member of the group that first exhibited an eversion of the sphere, i.e. a homotopy (topological metamorphosis) which starts with a sphere and ends with the same sphere but turned inside-out. He also discovered the Morin surface, which is a half-way model for the sphere eversion, and used it to prove a lower bound on the number of steps needed to turn a sphere inside out.He discovered the first parametrization of Boy's surface (earlier used as a half-way model) in 1978. His graduate student François Apéry later discovered (in 1986) another parametrization of Boy's surface, which conforms to the general method for parametrizing non-orientable surfaces.Morin worked at the Institute for Advanced Study in Princeton. Most of his career, though, he spent at the University of Strasbourg.File:MorinSurfaceCrossView.PNGMorin's surface.↑".
- Bernard_Morin thumbnail AnimatedBoySurface.gif?width=300.
- Bernard_Morin wikiPageExternalLink comm-morin.pdf.
- Bernard_Morin wikiPageExternalLink dickson-morin.
- Bernard_Morin wikiPageID "702848".
- Bernard_Morin wikiPageLength "2250".
- Bernard_Morin wikiPageOutDegree "29".
- Bernard_Morin wikiPageRevisionID "703361963".
- Bernard_Morin wikiPageWikiLink American_Mathematical_Society.
- Bernard_Morin wikiPageWikiLink Boys_surface.
- Bernard_Morin wikiPageWikiLink Career.
- Bernard_Morin wikiPageWikiLink Category:1931_births.
- Bernard_Morin wikiPageWikiLink Category:Blind_academics.
- Bernard_Morin wikiPageWikiLink Category:Blind_people_from_France.
- Bernard_Morin wikiPageWikiLink Category:French_mathematicians.
- Bernard_Morin wikiPageWikiLink Category:Living_people.
- Bernard_Morin wikiPageWikiLink French_people.
- Bernard_Morin wikiPageWikiLink Glaucoma.
- Bernard_Morin wikiPageWikiLink Homotopy.
- Bernard_Morin wikiPageWikiLink Institute_for_Advanced_Study.
- Bernard_Morin wikiPageWikiLink Mathematician.
- Bernard_Morin wikiPageWikiLink Mathematics.
- Bernard_Morin wikiPageWikiLink Minimax_eversion.
- Bernard_Morin wikiPageWikiLink Morin_surface.
- Bernard_Morin wikiPageWikiLink Orientability.
- Bernard_Morin wikiPageWikiLink Parametric_equation.
- Bernard_Morin wikiPageWikiLink Portable_Document_Format.
- Bernard_Morin wikiPageWikiLink Postgraduate_education.
- Bernard_Morin wikiPageWikiLink Princeton,_New_Jersey.
- Bernard_Morin wikiPageWikiLink Sphere_eversion.
- Bernard_Morin wikiPageWikiLink Stereolithography.
- Bernard_Morin wikiPageWikiLink The_Mathematical_Intelligencer.
- Bernard_Morin wikiPageWikiLink Topology.
- Bernard_Morin wikiPageWikiLink University_of_Strasbourg.
- Bernard_Morin wikiPageWikiLink Visual_impairment.
- Bernard_Morin wikiPageWikiLink File:AnimatedBoySurface.gif.
- Bernard_Morin wikiPageWikiLink File:MorinSurfaceCrossView.PNG.
- Bernard_Morin wikiPageWikiLinkText "Bernard Morin".
- Bernard_Morin wikiPageWikiLinkText "Morin, Bernard".
- Bernard_Morin wikiPageUsesTemplate Template:Authority_control.
- Bernard_Morin wikiPageUsesTemplate Template:IPA-fr.
- Bernard_Morin wikiPageUsesTemplate Template:Reflist.
- Bernard_Morin subject Category:1931_births.
- Bernard_Morin subject Category:Blind_academics.
- Bernard_Morin subject Category:Blind_people_from_France.
- Bernard_Morin subject Category:French_mathematicians.
- Bernard_Morin subject Category:Living_people.
- Bernard_Morin hypernym Mathematician.
- Bernard_Morin type List.
- Bernard_Morin type Person.
- Bernard_Morin type Scientist.
- Bernard_Morin type List.
- Bernard_Morin type Mathematician.
- Bernard_Morin type Redirect.
- Bernard_Morin type Scientist.
- Bernard_Morin type Thing.
- Bernard_Morin comment "Bernard Morin (French: [mɔʁɛ̃]; born 1931) is a French mathematician, specifically a topologist, who is now retired. He has been blind since age 6 due to glaucoma, but his blindness did not prevent him from having a successful career in mathematics.Morin was a member of the group that first exhibited an eversion of the sphere, i.e. a homotopy (topological metamorphosis) which starts with a sphere and ends with the same sphere but turned inside-out.".
- Bernard_Morin label "Bernard Morin".
- Bernard_Morin sameAs Q822619.
- Bernard_Morin sameAs برنارد_مورين.
- Bernard_Morin sameAs Bernard_Morin.
- Bernard_Morin sameAs Bernard_Morin.
- Bernard_Morin sameAs Bernard_Morin.
- Bernard_Morin sameAs m.03421b.
- Bernard_Morin sameAs Q822619.
- Bernard_Morin wasDerivedFrom Bernard_Morin?oldid=703361963.
- Bernard_Morin depiction AnimatedBoySurface.gif.
- Bernard_Morin isPrimaryTopicOf Bernard_Morin.