ulam_spiral, a Python code which displays the integers as a spiral of grid cells, with the primes highlighted, so show that they tend to fall along diagonals, as discovered by Stanislaw Ulam.
The computer code and data files described and made available on this web page are distributed under the MIT license
ulam_spiral is available in a MATLAB version and an Octave version and a Python version.
caustic, a Python code which generates an image of a caustic, by drawing n equally spaced points in a circle, and then connecting specific pairs of points using a spacing parameter m.
chladni_figures, a Python code which creates Chladni figures of the eigenmodes of a thin vibrating plate, by Martin Gander and Felix Kwok.
epicycloid, a Python code which plots an epicycloid curve.
fern, a Python code which displays the Barnsley fractal fern.
fibonacci_spiral, a Python code which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.
gaussian_prime_spiral, a Python code which computes a twisting spiral path along the Gaussian primes, and displays a plot of the total trajectory.
hilbert_curve, a Python code which computes the sequence of discrete Hilbert curves whose limit is a space-filling curve.
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.
lissajous, a Python code which plots a Lissajous figure.
mandelbrot, a Python code which generates an ASCII PPM image of the Mandelbrot set;
mandelbrot_orbit, a Python code which generates the sequence of Mandelbrot iterates arising from a single starting point.