# python_plots

python_plots, a Python code which uses plotting to illustrate a mathematical structure, such as an iterative map, a fractal, a curve or surface.

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 computes, plots and tabulates 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 displays a Lissajous figure, of the form x = sin ( a1 t + b1 ), y = sin ( a2 t + b2 ).

logistic_bifurcation, a Python code which plots the bifurcation diagram for the logistic equation, by John D Cook.

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

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

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.

Last revised on 28 August 2023.