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Dec 19, 2015 at 18:04 comment added Roice Nelson This is a nice observation, and makes me suspect that the minimal surface hemiellipsoid is unique (still assuming it is ellipsoidal). Perhaps my question would have been better phrased as "what is the shape of the minimal surface for a boundary curve that is an ellipse?"
Dec 19, 2015 at 17:50 history edited Mikhail Katz CC BY-SA 3.0
added 8 characters in body
Dec 19, 2015 at 17:43 history answered Mikhail Katz CC BY-SA 3.0