Polar rose - OpenProcessing

mySketch
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ArrayList<rose> roses;
float R = 0;
float t = 0;
float n = 2;
float outerrnum;
​
void setup()
{
  fullScreen();
  //size(640, 480);
  colorMode(HSB);
  outerrnum = 8;
  roses = new ArrayList<rose>();
  roses.add(new rose());
  for (int i = 0; i < outerrnum; i++)
  {
    roses.add(new orose(t, 6));
    t += radians(360/outerrnum);
  }
}
​
void draw()
{
  background(51);
  translate(width/2, height/2);
  rotate(R);
  for (rose rose : roses)
  {
​
    rose.show();
    rose.update();
    if (R > TWO_PI)
    {
      rose.c = color(random(359), 255, 86+51);
      R = 0;
    }
  }
  //ellipse(0, 0, 5, 5);
  R += .01;
}
​
void keyPressed()
{
  reset();
}
​
void reset()
{
  roses = new ArrayList<rose>();
  roses.add(new rose());
  for (int i = 0; i < 8; i++)
  {
    roses.add(new orose(t, 6));
    t += radians(45);
  }
  R = 0;
}
​
class orose extends rose
{
  float postheta;
  float posr;
  orose(float t, float num)
  {
    theta = 0;
    postheta = t;
    posr = amplitude * 3;
    n = num/2;
    d = 2;
    k = n/d;
    origin = new PVector();
    origin.x = posr * cos(postheta);
    origin.y = posr * sin(postheta);
    pos = new PVector(r * cos(theta) + origin.x, r * sin(theta) + origin.y);
  }
}
​
class rose
{
  float amplitude; 
  float k;
  float theta;
  float n;
  float d;
  float r;
  PVector pos;
  PVector origin;
  PVector vel;
  PVector acc;
  ArrayList<PVector> history;
  color c;
​
  rose()
  {
    theta = 0;
    n = 7;
    d = 8;
    k = n/d;
    c = color(353, 255, 86+51);
    //amplitude = (width/2) - 80;
    amplitude = 100;
    history = new ArrayList<PVector>();
    origin = new PVector(0, 0);
    r = (amplitude*cos(k*theta));
    pos = new PVector(r * cos(theta) + origin.x, r * sin(theta) + origin.y);
    acc = new PVector(0, 0);
    vel = new PVector(0, 0);
  }
​
  void update()
  {
    history.add(pos.get());
    r = (amplitude*cos(k*theta));
    pos.x = r * cos(theta) + origin.x;
    pos.y = r * sin(theta) + origin.y;
    theta += radians(1);
  }
​
  void show()
  {
    stroke(c);
    strokeWeight(3);
    noFill();
​
​
    beginShape();
    for (PVector p : history)
    {
      curveVertex(p.x, p.y);
    }
    endShape();
    fill(255);
    ellipse(pos.x, pos.y, 5, 5);
    fill(0);
    ellipse(origin.x, origin.y, 25, 25);
​
    if (history.size() > (d*2) * (360/2))
    {
      history.remove(0);
    }
​
    if (theta > d * TWO_PI)
    {
      //saveFrame("Rose" + k + ".png");
      //history.clear();
      c = color(random(359), 255, 86);
      theta = 0;
    }
  }
​
  void reset()
  {
    theta = 0;
    n = 5;
    d = 7;
    k = n/d;
    history = new ArrayList<PVector>();
    origin = new PVector(0, 0);
    pos = new PVector((100*cos(k*theta) * cos(theta)) + origin.x, (100*cos(k*theta) * sin(theta)) + origin.y);
  }
}