Looping animated cutaway view of Boy's surface.

Bernard Morin (French: [mɔʁɛ̃]; 3 March 1931 in Shanghai, China – 12 March 2018)[1] was a French mathematician, specifically a topologist.

Early life and education

Morin lost his sight at the age of six due to glaucoma, but his blindness did not prevent him from having a successful career in mathematics.[2] He received his Ph.D. in 1972 from the Centre National de la Recherche Scientifique.[3][2]

Career

Morin was a member of the group that first exhibited an eversion of the sphere,[4] i.e., a homotopy 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.

Morin discovered the first parametrization of Boy's surface (earlier used as a half-way model), in 1978. His graduate student François Apéry, in 1986, discovered another parametrization of Boy's surface, which conforms to the general method for parametrizing non-orientable surfaces.[5]

Morin worked at the Institute for Advanced Study in Princeton, New Jersey. Most of his career, though, he spent at the University of Strasbourg.


Morin's surface.

See also

References

  1. ^ "Décès de Bernard Morin". Société Mathématique de France (in French). Archived from the original on 2018-10-12. Retrieved 2018-10-11.
  2. ^ a b Apéry, François. "BERNARD MORIN (1931-2018)" (PDF). Société Mathématique de France (in French). Archived from the original (PDF) on 12 October 2018.
  3. ^ "Bernard Morin". Institute for Advanced Study. Retrieved 20 July 2017.
  4. ^ Morin, Bernard (13 November 1978). "Équations du retournement de la sphère" [Equations of the sphere eversion]. C. R. Acad. Sci. Paris (in French): 879–882. Retrieved 26 February 2021.
  5. ^ Weisstein, Eric W. "Boy Surface". Wolfram MathWorld. Archived from the original on 2004-04-13.

George K. Francis & Bernard Morin (1980) "Arnold Shapiro's Eversion of the Sphere", Mathematical Intelligencer 2(4):200–3.

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