Analytic sphere eversion using ruled surfaces

Adam Bednorz; Witold Bednorz

doi:10.1016/j.difgeo.2019.02.004

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arXiv · 1711.10466

Analytic sphere eversion using ruled surfaces

Adam Bednorz·Witold Bednorz

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Abstract

Sphere eversions have been described so far by either pictures with minimal topological complexity, numerical evolution or complex equations. We write down 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. We show their usefulness in visualizing the process using commonly available modeling software.

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Adam Bednorz, Witold Bednorz. 2017-11-28. Analytic sphere eversion using ruled surfaces. https://doi.org/10.1016/j.difgeo.2019.02.004

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