helicoid minimal surface

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• Costa's minimal surface — Costa s minimal surface, cropped by a sphere. Higher resolution video In mathematics, Costa s minimal surface is an embedded minimal surface and was discovered in 1982 by the Brazilian mathematician Celso Costa. It is also a surface of finite… …   Wikipedia

• Helicoid — A helicoid with α=1, 1≤ρ≤1 and π≤θ≤π. The helicoid, after the plane and the catenoid, is the third minimal surface to be known. It was first discovered by Jean Baptiste Meusnier in 1776. Its name derives from its similarity to the helix: for… …   Wikipedia

• helicoid — 1. adjective Having the form of a flattened helix 2. noun A minimal surface in the form of a flattened helix …   Wiktionary

• Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

• Catenoid — A catenoid is a three dimensional shape made by rotating a catenary curve around the x axis. Not counting the plane, it is the first minimal surface to be discovered. It was found and proved to be minimal by Leonhard Euler in 1744 [L. Euler,… …   Wikipedia

• Mean curvature — In mathematics, the mean curvature H of a surface S is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space. The… …   Wikipedia

• List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… …   Wikipedia

• Depth of field — The area within the depth of field appears sharp, while the areas in front of and beyond the depth of field appear blurry …   Wikipedia