Sphere Eversion

Marcel Padilla



In [1] Adam Bednorz & Witold Bednorz state that sphere eversions have been described so far by either pictures with minimal topological complexity, numerical evolution or complex equations. They give relatively simple explicit formulas for the whole eversion, both analytic and topologically simpler, including also Boy surface (real projective plane), using a family of ruled surfaces. They also show their usefulness in visualizing the process using commonly available modeling software.

Here the result of an implementation in the SideFX software Houdini is shown.


  • Adam Bednorz and Witold Bednorz.
    Analytic sphere eversion using ruled surfaces.
    Differential Geometry and its Applications, 2019.

Marcel Padilla   +

Projects: A05
University: TU Berlin, Institut für Mathematik, MA 823
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