Sinclair's soap film problem asks for the shape of a soap film (i.e., minimal surface) spanning two inverted conical funnels facing each other (Bliss 1925, p. 121). The soap film will assume the shape of a catenoid.
Sinclair's Soap Film Problem
See also
Catenoid, Funnel, Minimal SurfaceExplore with Wolfram|Alpha
References
Bliss, G. A. Calculus of Variations. Chicago, IL: Open Court, pp. 121-122, 1925.Isenberg, C. The Science of Soap Films and Soap Bubbles. New York: Dover, p. 81, 1992.Sinclair, M. E. "On the Minimum Surface of Revolution in the Case of One Variable End Point." Ann. Math. 8, 177-188, 1907.Referenced on Wolfram|Alpha
Sinclair's Soap Film ProblemCite this as:
Weisstein, Eric W. "Sinclair's Soap Film Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SinclairsSoapFilmProblem.html