WOLFRAM|DEMONSTRATIONS PROJECT

López Minimal Klein Bottle

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The López–Klein bottle is the unique complete minimal Klein bottle in
3

that is once-punctured, one-ended (the boundary has one connected component), and with a total curvature of
-8π
. It represents the simplest complete minimal immersion and the only complete nonorientable minimal surface in this topology. It is homeomorphic to a Klein bottle with the exception of one point.