Confocal
quadrics
- The surface consists of three surfaces (ellipsoid , one-sheeted and
two-sheeted hyperboloid) chosen from a family of confocal quadrics. The
three surfaces cut each other orthogonally and the curve of intersecton
of any two surfaces of them is a line of curvature on both surfaces.
Spindle
cyclide
- Spindle cyclide arises by an inversion from a spindle torus.
Ring
cyclide
- The cyclides of Dupin are characterized by the property that all their
lines of curvature are pieces of circles or straight lines. Ring cyclide
arises by an inversion from a ring torus.
Ring
cyclide2
- The cyclides of Dupin are characterized by the property that all their
lines of curvature are pieces of circles or straight lines. Ring cyclide
arises by an inversion from a ring torus.