Posts‎ > ‎

Blue

posted Jan 26, 2012, 8:16 PM by Ellie K   [ updated Feb 8, 2012, 3:17 AM ]
The clue is in the tags, though quaternions seemed likely: fractals and julia series.  Image piXelero of Finland, on Flickr.
fractal #03B serie 110209 

Specifically,

 z[next] = (z+2.8i)(z-0.24-0.88i)/(z-0.24+4i)/(z+1.04+0.2i) +(0.166-0.4i)


While on the subject of spectacular visuals, here's one that is NOT static. In fact, it could be the very opposite of such.  It uses WebGL. Surprise.  Modern browsers only, please!

Details follow.

Barry Martin's Hopalong Orbits Visualizer

All these complex orbits are generated iterating a generalization of this incredibly simple algorithm:

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

where a, b, c are random parameters. This is known as the 'Hopalong Attractor'.  3D rendering is done using WebGL and three.js

Comments

Navigation

Around the web

Here and there

Security

;@)

Tarry a little longer?