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.

Posted by Gaurav Tiwari

Excellent Reader, Good Orator and Bad Writer. Talk about WordPress, PHP and Mathematics. I develop & design web applications that are visually brilliant and mass-friendly. I can also design stunning graphics to support my web-apps & amazing logos to amaze people. I have worked with several companies & individuals to deliver satisfactory results.

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