Analytic sphere eversion using ruled surfaces
Geometric Topology
2019-02-18 v2 Mathematical Physics
Algebraic Geometry
Algebraic Topology
math.MP
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.
Cite
@article{arxiv.1711.10466,
title = {Analytic sphere eversion using ruled surfaces},
author = {Adam Bednorz and Witold Bednorz},
journal= {arXiv preprint arXiv:1711.10466},
year = {2019}
}
Comments
25 pages, 16 figures, more information at http://www.fuw.edu.pl/~abednorz/eversion/