teardrop curve

Tears, tears...

The curve is a generalization of the quartic piriform: this is the curve that results when the parameter n has the value 3.

Some special cases:

• n=1: the circle
• n=2: the Tschirnhausen's cubic
  
  Sometimes the teardrop curve is given in a parametric equation as:
  
  
  A further generalization of the curve is given by the pearls of Sluze.