octave_plots


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

caustic, an Octave 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, an Octave code which creates Chladni figures of the eigenmodes of a thin vibrating plate, by Martin Gander and Felix Kwok.

epicycloid, an Octave code which computes, plots and tabulates an epicycloid curve.

fern, an Octave code which displays the Barnsley fractal fern.

fibonacci_spiral, an Octave code which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.

gaussian_prime_spiral, an Octave code which computes a twisting spiral path along the Gaussian primes, and displays a plot of the total trajectory.

henon_orbit, an Octave code which computes the orbit of the Henon map for various sets of initial data.

hilbert_curve, an Octave code which computes the sequence of discrete Hilbert curves whose limit is a space-filling curve.

julia_set, an Octave 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, an Octave code which displays a Lissajous figure, of the form x = sin ( a1 t + b1 ), y = sin ( a2 t + b2 ).

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

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

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

prime_plot, an Octave code which displays a box plot of the prime and composite numbers.

ulam_spiral, an Octave 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 29 August 2023.