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Bernard Morin (; 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.〔Weisstein, Eric W. "Boy Surface." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/BoySurface.html〕 Morin worked at the Institute for Advanced Study in Princeton. Most of his career, though, he spent at the University of Strasbourg. ::::''Morin's surface.'' ==Notes== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bernard Morin」の詳細全文を読む スポンサード リンク
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