Fergus Ray Murray
I have been creating mathematical graphics since I first learned to program on a ZX Spectrum, and animating them ever since computers have been up to the task. My language of choice these days is Processing. Most of my animations and stills are based on trigonometric functions and waves.
Complex curves on a supertoroid; or, if you like, glowing traces as we circle around a rotating torus.
x=majorRadius*cos(roundward)*(1-cos (holeward)));
y=majorRadius*cos(dunkward)*sin(holeward)+minorRadius*sin(roundward)*sin(dunkward)*(1-cos(holeward)));
A collection of interactive animations based on interacting waves and sinusoidal functions.
A control box featuring six sliders, five buttons and two switches allows the audience to control the visualisations. One pair of sliders controls amplitude; one controls wavelength; one controls speed. The buttons switch between the different animations, while the switches control features of the visualisation. The animations will appear on a screen, or projected on a wall.
Sinusoidia shows two sine waves, the difference between them, and
their superposition.
Zoobie is a membrane of glowing points, distorted by two waves
passing through at right-angles to each other.
Trochor is based on a rotary harmonograph - the line traced out by
the sum of the motion of two damped pendulums swinging in
circles.
Rosaly adds another pendulum, and removes the damping.
Yinyo shows the superposition of two gradated spirals as they
spin.