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.

PS:

## 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.

### Posted by Gaurav Tiwari

A designer by profession, a mathematician by education but a Blogger by hobby. With an experience of over seven years with WordPress, PHP and CSS3, Gaurav is capable of doing almost anything related to these. Beyond that, He is a mathematics graduate & a civil service aspirant.