The discontinuous solution of the surface of revolution area minimization problem for surfaces connecting two circles. When the circles are sufficiently far apart, the usual catenoid is no longer stable and the surface will break and form two surfaces with the circles as boundaries.
Goldschmidt Solution
See also
Calculus of Variations, Surface of RevolutionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Goldschmidt Solution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GoldschmidtSolution.html