Soap films and minimal surfaces have long been of interest both mathematically and physically (Almgren and Taylor (1976), Courant (1950), Radó (1951)). The Belgian physicist J.A.F. Plateau (1801-1883) determined experimentally a number of geometric properties of soap films by dipping a closed, thin wire into a soap solution and studying the resulting soap film, or minimal surface, which spanned the wire. Plateau concluded that every closed wire contour always bounds a minimal surface. Nevertheless, the nonuniqueness of the problem is now well known and extensive research has centered on proving the existence of at least one mathematical solution (Courant (1950)).
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