Students' Work: Dupin Cyclides

The cyclides of Dupin arise from cones of revolution, cylinders of revolution, and tori under the inversion with respect to a sphere. Any cyclide is a channel surface (envelope of a one-parameter family of spheres) in two different ways. All their curvature lines are circles (or lines). The cylide on this picture has two nodes.
(Courtesy of Boris Odehnal.)

Created by Lukas Exl (2007) using POV-Ray - The Persistance of Vision Raytracer.