Lorenz SuperForm

/* 

Title: Lorenz SuperForm

Author: Elijah Ko

Contact: elijah.ko@network.rca.ac.uk

Date: 2020-04-11

​

Description:

Lorenz Attractor (aka Butterfly Effect), a differential mathematical model for atmospheric convection. What if ... we can use it to manifest climate change?

​

Reference:

http://paulbourke.net/fractals/lorenz/

https://www.youtube.com/watch?v=vD9lRmfwIxI

*/

​

let x = 10;

let y = 0.1;

let z = 1;

​

// These are constants

let sigma = 10; //sigma

let rho = 28;

let beta = 8.0 / 3.0;

​

// flexible size array

let points = new Array();

// Processing: ArrayList<PVector> points = new ArrayList<PVector>();

​

let angle = 0;

​

function setup() {

  createCanvas(750, 750, WEBGL);

  colorMode(HSB);

  background(0);

}

​

function draw() {

  /* Lorenz Accelerator */

  let dt = 0.01; //change of time scale

​

  let dx = (sigma * (y - x)) * dt; //x incremental change

  x += dx;

​

  let dy = (x * (rho - z) - y) * dt; //y incremental change

  y += dy;

​

  let dz = (x * y - beta * z) * dt; //z incremental change

  z += dz;

​

  points.push(new p5.Vector(x, y, z));

​

  // Processing: points.add(new PVector(x, y, z));

  // translate(width/2, height/2);

  // translate(0, 0, -80);

  // let camX = map(mouseX, 0, width, -700, 700);

  // let camY = map(mouseY, 0, height, -700, 700);

  // camera(camX, camY, height / 2.0 / tan((PI * 30.0) / 180.0), 0, 0, 0, 0, 1, 0);

​

  rotate(angle);

​

  scale(6);

  stroke(255);

  noFill();

​

  let hu = 0;

  beginShape();

  for (let v of points) {

    point(v.x, v.y, v.z);

    stroke(hu, 255, 255);

    strokeWeight(1);

    // vertex(v.x, v.y, v.z); //doesn't work for p5.js

    hu += 1;

    if (hu > 255) {

      hu = 0;

    }

  }

  endShape(CLOSE);

​

  //console.log(x, y, z);

  print(x, y, z);

  angle += 0.0015;

}