Steven DollinsScatter 2 million particles and move them as
P += sin(P.yzx) - 0.19 * P
and the shape they form is strangely attractive.
Here's a (nearly) looping animation of that attractor once the points have settled down.
The - 0.19 * P term pulls the particles back towards the center. By weakening that constant, we can see more of the sine wave motion. Too weak just looks like noise, but 0.08 looks particularly nice.
P += sin(P.yzx) - 0.08 * P
KloudWhen I was playing with 2d attractors, animating the variables in the formulas looked very cool. You can also try slowly changing P while it's running.