## Lemniscate (Mandelbrot Set)

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).