Where the hanging chain, as illustrated by Robert Hooke in 1676, presents a vector, or sequential vectors to achieve perfect structural compression, the membrane coalesces these objects into a singular surface, often unified by the minimal surface generated between these objects. Our project, instead, investigates how minimal surfaces are produced by the articulation of a contour, or edge condition. Through a sequence of experimental model processes that began with differing wire types, we were led to issues of joinery. These included: welding these edge beams (with thick wire), hooking or twisting the wires (with thin wire), or bending through various mechanisms (with middle-gauge wire). We landed on the latter to produce the cleanest and most sophisticated results. The outcome utilized a single wire, bent at various angles to generate hyperbolic paraboloids, where the suggestion of two intersecting arches is present in each of the models, offering a clear genealogy between our hanging and membrane models.