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Special Surfaces > Geometry
Surfaces that are geometrically interesting.
A minimal surface is one with zero mean curvature. Examples include Costa's minimal surface, Bour's surface, Catalan's minimal surface, the catenoid, Enneper's surface, the helicoid, Henneberg's surface, Richmond's surface, and Scherk's minimal surface.
A ruled surface with no Gaussian curvature is said to be developable. The plane is an excellent example.
Tangent surfaces that are defined by
where alpha is a space curve, and v is the velocity vector for that curve.
It is possible for surfaces to have zero Gaussian curvature. The cylinder and the plane are prime examples.
Two surfaces are said to be conformal if there exists an angle-preserving map between them.