 However, in a physical soap film, the connecting line segment would not be present.Additionally, if a soap film is stretched in this way, there is a range of distances within which the catenoid solution is still feasible but has greater area than the Goldschmidt solution, so the soap film may stretch into a configuration in which the area is a local minimum but not a global minimum.For distances greater than this range, the catenary that defines the catenoid crosses the "x"-axis and leads to a self-intersecting surface, so only the Goldschmidt solution is feasible.