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.

Here is a Youtube video on that:

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.