superformula.pde

PImage img;

float m,t;
void setup() {
  size(500, 500);
  noFill();
  stroke(255);
  strokeWeight(2);
  m=0.0;
  t=0.0;
  img = loadImage("formular.png");
  image(img, width/2, 0);
}


void draw() {
  background(0);
  fill(random(255),random(255),random(255));
  translate(width/2, height/2);
  beginShape();
  for (float theta =0; theta <= 2*PI; theta += 0.01) {
    float rad = r(theta,
    2,  // a
    2,  // b
    m,  // m
    random(3),  // n1
    sin(t) * 2 + 0.5,  // n2
    cos(t)) * 2 + 0.5 ; //  n3
    float x = rad * cos(theta)*50;
    float y = rad * sin(theta)*50;
    vertex(x,y);
  }
  endShape();
  m += 0.1;
  t += 0.1;
}

float r(float theta, float a, float b, float m, float n1, float n2, float n3) {
  
  return pow(pow(abs(cos(m*theta/4.0))/a, n2)+pow(abs(sin(m*theta/4.0))/b, n3),-1.0/n1);
}