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Limaçon

Limaçon

A famliy of related curves usually expressed in polar coordinates. The cardioid is a special kind of limaçon.

 

Limaçon:   r = b + a cos θ (horizontal, pictured below)  or  r = b + a sin θ (vertical)

Three limaçon curves: looped (b<a), dimpled (a<b<2a), and convex (2a≤b), shown in polar coordinates. convex

Note: If a = b the curve is a cardioid.

 

See also

Convex, polar curves