

A pair of focal conics which are the envelopes of two one-parameter families of spheres, sometimes also called a cyclid. The cyclide is a quartic surface, and the lines of curvature on a cyclide are all straight lines or circular arcs (Pinkall 1986). The standard tori and their inversions in an inversion sphere S centered at a point


are both cyclides (Pinkall 1986). Illustrated above are ring cyclides, horn cyclides,, and spindle cyclides. The figures on the right correspond to

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