cyclide(A Surface which contains many circles.)

We show surfaces "cyclide" which contain many circles.

Cyclide M contains n or n -1 circles of M through each point of M ( n=2,3,4,5,6).

cyclide1

Torus - type cyclide <---->One sphere - type cyclide@

n = 6 @<----> n = 1 or 2

Animation

cyclide2

Intrinsic two sphere-type cyclide <---->Torus - type cyclide <---->Extrinsic two sphere-type cyclide

n = 1 or 2 <----> n=6 <----> n = 1 or 2@

Animation