Gallery of Constant Curvature Surfaces

Pseudosphere

Pseudosphere
(Tchebyshef principal parametrization)
colored by mean curvature



Pseudosphere

Pseudosphere
(Tchebyshef asymptotic parametrization)
colored by mean curvature



Dini's surface

Dini's surface
(Tchebyshef principal parametrization)
colored by mean curvature



Dini's surface

Dini's surface
(Tchebyshef asymptotic parametrization)
colored by mean curvature



Kuen's surface

Kuen's surface
(Tchebyshef principal parametrization)
colored by mean curvature



Kuen's surface

Kuen's surface
(Tchebyshef asymptotic parametrization)
colored by mean curvature



Conic type

Constant negative curvature
surface of revolution of conic type
colored by mean curvature



Hyperbaloid type

Constant negative curvature
surface of revolution of hyperbaloid type
colored by mean curvature