Catalan's surface

The model can be characterized as the minimal surface that contains a cycloid as a geodesic line.

Catalan's surface(opened)

The model can be characterized as the minimal surface that contains a cycloid as a geodesic line.

Onduloid

The profile curve of the onduloid can be obtained as the trajectory of a focus of an ellipse that rolls without sliding along the rotation axis. The surface has constant non-zero mean curvature.

Ellipsoid

Spheres