Generalized helicoid of constant positive curvature

Generalized helicoid is a surface generated by a plane curve which is rotated uniformly about a fixed line as axis and at the same time translated in the direction of the axis with constant velocity. This surface has constant positive curvature.

Generalized helicoid of constant negative curvature

Generalized helicoid is a surface generated by a plane curve which is rotated uniformly about a fixed line as axis and at the same time translated in the direction of the axis with constant velocity. This surface has constant negative curvature.

Kuen's surface

Kuen's surface is of Joachimstal's type of constant curvature. Joachimstal's surface has the property that for which the lines of curvature in one of the two system lie in planes passing through a line g. (For example, the surface of revolution)

Kuen's surface2

Kuen's surface is of Joachimstal's type of constant curvature. Joachimstal's surface has the property that for which the lines of curvature in one of the two system lie in planes passing through a line g. (For example, the surface of revolution)

Kuen's surface3

Kuen's surface is of Joachimstal's type of constant curvature. Joachimstal's surface has the property that for which the lines of curvature in one of the two system lie in planes passing through a line g. (For example, the surface of revolution)