dg.differential geometry - Determining a surface in $\mathbb{R}^3$ by its  Gaussian curvature - MathOverflow

dg.differential geometry - Determining a surface in $\mathbb{R}^3$ by its Gaussian curvature - MathOverflow

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A curve in the plane is determined, up to orientation-preserving Euclidean motions, by its curvature function, $\kappa(s)$. Here is one of my favorite examples, from Alfred Gray's book, Modern

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