Catenoid Minimal Surface

Example of one of the few minimal surfaces/relaxed surfaces that can be described explicitely from a mathematical equation. As the height of the rings increase, the minimal surface, i.e. minimal surface area, becomes that of the two rings. Based on the laws of physics and engineering It is not possible to form a stable minimal surface between two rings beyond a certain height. There is an equation describing the maximum attainable height of a catenoid minimal surface