The Halvorsen's cyclically symmetric attractor can produce interesting artistic results using a single entry parameter.

For this visualization, I have decided to use a different coloring palette, as well as creating a projection effect using a diffused particle system.

#The algorithm

halvorsen-attractor.js
const a = 1.4;

const next = (x,y,z) => {
  const dx = -a * x - 4 * y - 4 * z - y * y;
  const dy = -a * y - 4 * z - 4 * x - z * z;
  const dz = -a * z - 4 * x - 4 * y - x * x;
  return {dx,dy,dz};
};

#References