Hopalong Orbits Visualizer: Stunning WebGL Experiment

Just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s three.js project.

Hop to the source website using your desktop browser (with WebGl and Javascript support) and enjoy the magic.


Hopalong Attractor Algorithm

Hopalong Attractor predicts the locus of points in 2D using this algorithm

(x, y) -> (y - sign(x)*sqrt(abs(b*x - c)), a -x )

That is, $ x= y- \mathrm{sign}{(x)} \cdot \sqrt{ |bx-c|}$ and $ y=a-x$ for the $ (x,y)$ – co-ordinate system, where $ a, b, c$ are random parameters.