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- Bernard_Morin abstract "Bernard Morin is a French mathematician, specifically a topologist, born in 1931, 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. (See Smale's paradox.) 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 birthDate "1931".
- Bernard_Morin birthYear "1931".
- Bernard_Morin thumbnail AnimatedBoySurface.gif?width=300.
- Bernard_Morin wikiPageExternalLink dickson-morin.
- Bernard_Morin wikiPageExternalLink comm-morin.pdf.
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- Bernard_Morin dateOfBirth "1931".
- Bernard_Morin hasPhotoCollection Bernard_Morin.
- Bernard_Morin name "Morin, Bernard".
- Bernard_Morin shortDescription "French mathematician".
- Bernard_Morin description "French mathematician".
- Bernard_Morin description "French mathematician".
- Bernard_Morin subject Category:1931_births.
- Bernard_Morin subject Category:Blind_people_from_France.
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- Bernard_Morin comment "Bernard Morin is a French mathematician, specifically a topologist, born in 1931, 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 label "Bernard Morin".
- Bernard_Morin label "Bernard Morin".
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- Bernard_Morin depiction AnimatedBoySurface.gif.
- Bernard_Morin givenName "Bernard".
- Bernard_Morin isPrimaryTopicOf Bernard_Morin.
- Bernard_Morin name "Bernard Morin".
- Bernard_Morin name "Morin, Bernard".
- Bernard_Morin surname "Morin".
