Explore: Surfaces Minimales

definitions below). The term "minimal surface" is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint

condition of a surface of minimal area, all minimal surfaces of revolution are minimal surfaces, but not all minimal surfaces are minimal surfaces of revolution

conjugate surfaces many more surfaces were found. While Weierstrass representations are known for the simpler examples, they are not known for many surfaces. Instead

joined to the surface. Hence given a suitable initial polygon inscribed in a unit cell periodic surfaces can be constructed. The Schwarz surfaces have topological

list of surfaces in mathematics. They are divided into minimal surfaces, ruled surfaces, non-orientable surfaces, quadrics, pseudospherical surfaces, algebraic

believed to be the only embedded minimal surfaces that could be formed by puncturing a compact surface. The Costa surface evolves from a torus, which is

Edmond Bour, whose work on minimal surfaces won him the 1861 mathematics prize of the French Academy of Sciences. Bour's surface crosses itself on three

of these minimal surfaces appears in triply periodic minimal surfaces. Like some other triply periodic minimal surfaces, the gyroid surface can be trigonometrically

the helicoid and the plane were the only ruled minimal surfaces. A helicoid is also a translation surface in the sense of differential geometry. The helicoid

anticipated contemporary post-minimal art practices, which extend or reflect on minimalism's original objectives. Minimalism's key objectives were to strip