The compact, connected surfaces of $\mathbb{R}^3$ for which the Gaussian curvature is always positive are called ovaloids.
So, ellipsoids are ovaloids.
Is there an ovaloid that is not an ellipsoid? Some literature?
2026-04-06 17:51:54.1775497914
Give an example of a non-ellipsoid ovalid
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How about the surface with equation $x^4+y^4+z^4=1$?