let w;

​

// number of seed points

let N = 3;

​

// to let the seed points be vertices of a polygon

let radius;

let angle;

​

// the index of the random point we will pick each turn

let index = 1000;

​

// to buffer things

let times = 50;

​

let ratio = 2;

​

function setup() {

  createCanvas(windowWidth, windowHeight);

​

  angleMode(DEGREES);

  translate(width / 2, height / 2);

​

  // draw the polygon

  angle = 360 / N;

  radius = min(width, height) / 2 - 50;

​

  // draw the vertices

  stroke("red");

  strokeWeight(10);

  for (let i = 0; i < N; i++) {

    let p = {

      x: radius * cos(i * angle),

      y: radius * sin(i * angle)

    };

    //drawPoint(p);

  }

​

  // pick a random point to begin with

  w = {

    x: random(-width / 2, width / 2),

    y: random(-height / 2, height / 2)

  };

}

​

function draw() {

  translate(width / 2, height / 2);

​

  for (let i = 0; i < times; i++) {

    // draw the point

    stroke("white");

    strokeWeight(1);

    drawPoint(w);

​

    // if it was an even polygon, an additional rule

    if (N % 2 == 0) {

      let currentIndex = index;

      // to enter the loop for the first time, we initiate it to true

      let diagonal = true;

      while (diagonal) {

        index = floor(random(0, N));

        diagonal = abs(currentIndex - index) == N / 2;

      } // we do not exit the loops except if we do not have a diagonal attraction point

    } else {

      // if it was odd

      index = floor(random(0, N));

    }

​

    let attraction = {

      x: radius * cos(index * angle),

      y: radius * sin(index * angle)

    };

​

    //get the coordinates of the new point tx and ty

    w.x = (w.x + attraction.x) / ratio;

    w.y = (w.y + attraction.y) / ratio;

  }

}

​

function drawPoint(p) {

  point(p.x, p.y);

}