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Definition of Minimal surface
1. Noun. (mathematics) Any surface that has the least possible surface area of those into which it could transform; typically the shapes of soap bubbles that span wire frames ¹
2. Noun. (mathematics) Any surface of vanishing mean curvature. Includes, but is not restricted to, surfaces of minimal area, as given by some boundary conditions. ¹
¹ Source: wiktionary.com