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Sphere Eversions: from Smale through “The Optiverse”

  • John M. Sullivan
Part of the Mathematics and Visualization book series (MATHVISUAL)

Abstract

For decades, the sphere eversion has been a favorite subject for mathematical visualization. The 1998 video The Optiverse shows minimax eversions, computed automatically by minimizing elastic bending energy using Brakke’s Evolver. We contrast these geometrically optimal eversions with earlier ones, including those by Morin, Phillips, Max, and Thurston.

Keywords

Triple Point Soap Film Topological Event Round Sphere Quadruple Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • John M. Sullivan
    • 1
  1. 1.Mathematics Dept.Univ. of IllinoisUrbanaUSA

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