Main > Curves and Surfaces > Surfaces > Special Surfaces > Geometry
Surfaces that are geometrically interesting.
Surfaces of Revolution Surfaces that result from revolving a curve about an axis.
Minimal Surfaces Minimal surfaces have zero mean curvature.
Ruled Surfaces These contain a 1-parameter family of straight lines.
Developable Surfaces  
Tangent Surfaces  
Surfaces of Zero Curvature Surfaces with zero gaussian curvature.
Surfaces of Constant Curvature Surfaces with constant gaussian curvature.
Conformal Surfaces  
Isometric Surfaces  

Surfaces of Revolution

Surfaces of revolution are created by rotating a curve through space. The sphere, for example, is created by rotating a circle about its diameter.

Minimal Surfaces

Minimal surfaces are known for their zero mean curvature. The helicoid is an excellent example.

Ruled Surfaces

Ruled surfaces get their name because they can be reparameterized so that the surface can be created by a line translating and rotating through space.

Developable Surfaces

 

Tangent Surfaces

 

Surfaces of Zero Curvature

 

Surfaces of Constant Curvature

 

Conformal Surfaces

 

Isometric Surfaces