Stumbled upon this funny little curve. I have seen it show its face in many old experiments,
but i never knew the curve is called a Lissajous curve.

a normal Lissajous curve:

Played around with it. Added an equation for the Z-Axis. I liked the result so i plugged it in my little lab engine.

something like:
There are 3 particles.
All have a random Lissajous behaviour for x, y and z.
The fader modifier takes care of the tales.

Lissajous3D:

1
2
3
4
5
6
7
8

var t:Number = N;
var a:Number = 9;
var b:Number = 8;
var S:Number = t * (Math.PI / 2);
 
var x:Number = xx * Math.sin( a * t + S );
var y:Number = yy * Math.sin(b * t);
var z:Number = zz * Math.cos((a/b)*S);

Here’s the result.

The [Lab] Lissajous Curve 3D by Script.it, unless otherwise expressly stated, is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Netherlands License.