Mandelbrot Set Lemniscate

MandelbrotLemniscates

A curve on which points of a map z_n (such as the Mandelbrot set) diverge to a given value r_(max) at the same rate. A common method of obtaining lemniscates is to define an integer called the count which is the largest n such that |z_n|<r where r is usually taken as r=2. Successive counts then define a series of lemniscates, which are called equipotential curves by Peitgen and Saupe (1988).

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