Banchoff's Klein Bottle

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This Demonstration show's Banchoff's Klein bottle (or Klein cycloid), which is based on the Möbius band, a surface with only one edge.

Contributed by: Wusu Ashiribo Senapon (May 2018)
(Department of Mathematics, Lagos State University, Lagos, Nigeria)
Open content licensed under CC BY-NC-SA



The Banchoff Klein bottle has the parametric equations:




where the parameters , and are constants, and .


[1] C. A. Pickover, Mazes for the Mind: Computers and the Unexpected, New York: St. Martin's Press, 1992.

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