Editing Minimal surface (section)

==Examples==
[[File:Costa's Minimal Surface.png|thumb|[[Costa's minimal surface]]]]

Classical examples of minimal surfaces include:
* the [[plane (geometry)|plane]], which is a [[trivial (mathematics)|trivial]] case
* [[catenoid]]s: minimal surfaces made by rotating a [[catenary]] once around its directrix
* [[helicoid]]s: A surface swept out by a line rotating with uniform velocity around an axis perpendicular to the line and simultaneously moving along the axis with uniform velocity

Surfaces from the 19th century golden age include:
* [[Schwarz minimal surface]]s: [[Triply periodic minimal surface|triply periodic surfaces]] that fill <math>\R^3</math>
* [[Riemann's minimal surface]]: A posthumously described periodic surface
* the [[Enneper surface]]
* the [[Henneberg surface]]: the first non-orientable minimal surface
* [[Bour's minimal surface]]
* the [[Neovius surface]]: a triply periodic surface

Modern surfaces include:
* the [[Gyroid]]: One of Schoen's surfaces from 1970, a triply periodic surface of particular interest for [[liquid crystal]] structure
* the [[Saddle tower]] family: generalisations of [[Scherk surface|Scherk's second surface]]
* [[Costa's minimal surface]]: Famous conjecture disproof. Described in 1982 by [[Celso Costa]] and later visualized by [[James Hoffman|Jim Hoffman]]. Jim Hoffman, David Hoffman and William Meeks III then extended the definition to produce a family of surfaces with different rotational symmetries.
* the [[Chen–Gackstatter surface]] family, adding handles to the Enneper surface.