mandelbrot_area

mandelbrot_area, an Octave code which estimates the area of the Mandelbrot set by evaluating many points within the square [-2,2]x[-2,2] and counting how many stay bounded under many iterations of the Mandelbrot map.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

mandelbrot_area is available in a MATLAB version and an Octave version.

Related Data and Programs:

mandelbrot_area_test

mandelbrot, an Octave code which generates an image of the Mandelbrot fractal set;

mandelbrot_orbit, an Octave code which generates the sequence of Mandelbrot iterates arising from a single starting point.

Reference:

1. John D Cook,
   Mandelbrot area and escape times.
   https://www.johndcook.com/blog/2025/09/08/mandelbrot-area-and-escape-times/
   Posted: 08 September 2025

Source Code:

• mandelbrot_area.m, the source code.