menger_sponge_chaos, a Python code which creates a dot-plot of the 3D Menger sponge by repeatedly applying a randomized linear transformation to a starting point.
Because this is a 3D object, it is best viewed interactively, so that it can be rotated and tilted to examine the holes. To do this, enable the "plt.show()" command in the script.
The information on this web page is distributed under the MIT license.
menger_sponge_chaos is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
cobweb_plot, a Python code which displays a cobweb plot illustrating the process of function iteration, by John D Cook.
collatz, a Python code which computes and analyzes the Collatz sequence, also known as the hailstone sequence or 3n+1 sequence;
cross_chaos, a Python code which creates a dot-plot of a cross by repeatedly applying a randomized linear transformation to a starting point.
dragon_chaos, a Python code which creates a dot-plot of a dragon by repeatedly applying a randomized linear transformation to a starting point.
fern_chaos, a Python code which applies a randomized linear map to a starting point to compute the Barnsley fractal fern.
julia_set, a Python code which computes and plots a Julia set, the set of points in the complex plane that remain bounded under a mapping of the form f(z) = z^2+c.
leaf_chaos, a Python code which creates a dot-plot of a leaf by repeatedly applying a randomized linear transformation to a starting point.
levy_dragon_chaos, a Python code which creates a dot-plot of the Levy dragon by repeatedly applying a randomized linear transformation to a starting point.
mandelbrot_orbit, a Python code which generates the Mandelbrot iterates arising from a single starting point;
sierpinski_carpet_chaos, a Python code which creates a dot-plot of the Sierpinski carpet by repeatedly applying a randomized linear transformation to a starting point.
sierpinski_triangle_chaos, a Python code which creates a dot-plot of the Sierpinski triangle by repeatedly applying a randomized linear transformation to a starting point.
tree_chaos, a Python code which creates a dot-plot of a tree by repeatedly applying a randomized linear transformation to a starting point.
