Catenoid with a broken handle
According to a theorem of Schoen, an embedded minimal surface with two catenoidal ends must be the Catenoid. Thus, a genus one Catenoid is impossible. Below one can see failing attempts.
Catenoid with a broken handle |
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According to a theorem of Schoen, an embedded minimal surface with two catenoidal ends must be the Catenoid. Thus, a genus one Catenoid is impossible. Below one can see failing attempts. |
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