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.

© 1996-9

1999-05-26