Introduction

Julia Set

The Julia set associated to a complex number c is found by iterating the map z = + c. The set of points that do not escape to infinity is the Julia set.

Mandelbrot Set

The Mandelbrot set is the set of points c that do not escape to infinity under iteration of the map c = + c. Points in the Mandelbrot set have connected Julia sets. This modification of the juliaC code can be used to plot the Mandelbrot set.

Here is the subroutine from the Mathematica Journal.

Return to the Complex Analysis Project

(c) John Mathews, 1998, 2006