Pearls of Sluze

Cartesian equation:
yn=k(ax)pxmy^{n} = k(a - x)^{p}x^{m}


The curves with the equation given above, where n,pn, p and mm are integers, were studied by de Sluze between 1657 and 1685.

The name Pearls of Sluze was given to these curves by Blaise Pascal.

The particular curves drawn above have
n=4,k=2,a=4,p=3,m=2n = 4, k = 2, a = 4, p = 3, m = 2.