||last updated: 2003-10-18
When a is a rational number, the curve is an algebraic
Each curve consists of equal branches, that merge in a rotation of p/a.
La Gournerie studied the curve in 1851.
Some specific specimen are the following:
For a=1, the kappa curve, a quartic,
For a=2 we see the windmill curve, a sextic
For a being integer, the power of the curve is 2*a +2.
For a=1/2, you find the straight strophoid.
1) With formula: x2y2 (x2 + y2) =
(x2 - y2)2