mandelbrot_orbit, a Python code which computes the Mandelbrot iterates arising from a single starting point.
The Mandelbrot set is a set of points C in the complex plane with the property that the iteration
z(0) = c
z(n+1) = z(n)^2 + z(0), for n = 0, 1, ...
remains bounded.
The function mandelbrot_orbit() computes up to n iterates for a given starting point, but stops immediately if the iterates exceed 2 in norm. If the iterates stay bounded, a plot may show a pattern in which successive iterates spiral in towards a limit point, or in which they bounce back and forth among several limits.
The information on this web page is distributed under the MIT license.
mandelbrot_orbit is available in a MATLAB version and an Octave version and a Python version.
henon_orbit, a Python code which computes the orbit of the Henon map for various sets of initial data.
python_plots, a Python code which uses plotting to illustrate a mathematical structure, such as an iterative map, a fractal, a curve or surface.
