2017/11/30 by Adam Bednorz, Witold Bednorz · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Geometric Analysis and Curvature Flows #Mathematics and Applications #Process (computing) #Projective test #Ruled surface #Simple (philosophy) #Surface (topology) #math-ph #math.AG #math.AT #math.GT #math.MP #msc:57R42
paper · pdf · doi:10.1016/j.difgeo.2019.02.004
published as Differential Geometry and its Applications 64, 59 (2019) · 25 pages, 16 figures, more information at http://www.fuw.edu.pl/~abednorz/eversion/
openalex publication_date 2019/02/12 · crossref created 2019/02/12 · arxiv created 2019/02/15 · arxiv updated 2019/02/18 · openalex created_date 2019/02/21 · crossref issued 2019/06/01 · crossref published 2019/06/01 · crossref published-print 2019/06/01 · crossref deposited 2025/10/14 · crossref indexed 2025/10/15 · openalex updated_date 2026/08/05
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.