Cyclides

dupin.gif
Dupin Cyclide


Properties of Cyclides

A cyclide of Dupin is obtained by an inversion of the standard torus. It is a quartic surface and has the property that the lines of curvature on this cyclide are circles or straight lines intersecting orthogonally. These lines are inscribed on the models.


Parabolic ring Cyclide

Spindle Cyclide

Parabolic Spindle Cyclide

Horn Cyclide

Cyclide