Jeener's Klein Surface

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This Demonstration presents Jeener's -Klein surface, designed by the French mathematician Patrice Jeener.

Contributed by: Wusu Ashiribo Senapon (September 2019)
(Department of Mathematics, Lagos State University, Lagos, Nigeria)
Open content licensed under CC BY-NC-SA


Details

Jeener's Klein surface can be represented by the parametric equations:

,

,

,

where the parameters , and are, respectively, the size, frequency and curvature, with ; .

Reference

[1] J.-F. Colonna. "Définition de la N-Bouteille de Jeener-Klein (version 1)." (Aug 29, 2019) www.lactamme.polytechnique.fr/Mosaic/descripteurs/Commentaires_NKleinBottle.01.html?fbclid=IwAR1Ngtm_K0xEDY2f17BfCqn0REe8XOqAxudIR9ZNTr6V4STIZcIZ9TAL_oA.


Snapshots



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