%0 Generic %1 bednorz2017analytic %A Bednorz, Adam %A Bednorz, Witold %D 2017 %K 2017 arxiv geometry sphere %R 10.1016/j.difgeo.2019.02.004 %T Analytic sphere eversion using ruled surfaces %U http://arxiv.org/abs/1711.10466 %X 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.

@misc{bednorz2017analytic, 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.}, added-at = {2020-07-01T17:53:21.000+0200}, author = {Bednorz, Adam and Bednorz, Witold}, biburl = {https://www.bibsonomy.org/bibtex/229c2f8681c233b6ba39852b5f49bc30d/analyst}, description = {[1711.10466] Analytic sphere eversion using ruled surfaces}, doi = {10.1016/j.difgeo.2019.02.004}, interhash = {1949125e47c01ec56d941aea7df2be92}, intrahash = {29c2f8681c233b6ba39852b5f49bc30d}, keywords = {2017 arxiv geometry sphere}, note = {cite arxiv:1711.10466Comment: 25 pages, 16 figures, more information at http://www.fuw.edu.pl/~abednorz/eversion/}, timestamp = {2021-11-05T07:22:39.000+0100}, title = {Analytic sphere eversion using ruled surfaces}, url = {http://arxiv.org/abs/1711.10466}, year = 2017 }