Mandelbrot Set Lemniscate

A curve on which points of a map  (such as the Mandelbrot set) diverge to a given value  at the same rate. A common method of obtaining lemniscates is to define an integer called the count which is the largest  such that  where  is usually taken as . Successive counts then define a series of lemniscates, which are called equipotential curves by Peitgen and Saupe (1988).

REFERENCES:

Peitgen, H.-O. and Saupe, D. (Eds.). The Science of Fractal Images. New York: Springer-Verlag, pp. 178-179, 1988.