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.
The information on this web page is distributed under the MIT license.
sierpinski_triangle_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.
tree_chaos, a Python code which creates a dot-plot of a tree by repeatedly applying a randomized linear transformation to a starting point.
