Fractal zoom

Aurelian24

So i´ve just started with fractals watching shiffman nature of code videos, and im very interesting in developing fractals with infinite zoom but i´ve haven´t figured it out,i´ve already tryd with scale and zoom in z, but with no succes.

this is my try :

float zoom;
float zoomspeed;
float zoomacel;
float size;

int counter;
void setup() {

  size(600, 600, P3D);
  zoomspeed = 1;
  zoomacel = 0;
  size = 100;
}

void draw() {
  background(255);
  zoomspeed +=zoomacel;
  zoom += zoomspeed;

  translate(0, 0, zoom);
  fill(0);
  drawcircle(width/2,height/2,600);


  fill(255, 0, 0);

}

void drawcircle(float x,float y,float size) {


  fill(255);
  ellipse(x, y, size, size);
  fill(0);
  ellipse(x, y, size*0.90, size*0.90);

  if (size > 0.1) {
    counter++;
    size*=0.75;
    drawcircle(x,y,size);
    //println("SIZE :", size);
  }
}

prince_polka

This is not infinite and not smooth but ...

boolean flag;
int count=0;
int acc=1;
double space=0.75;
int stop=0;
void setup(){
 size(600,600,P3D);
 stop=(int)(width*2/space/space-width*2);
 noStroke();
}
void draw(){
 background(255);
 flag=true;
 count+=acc;
 if(frameCount%10==0)acc++;
 for(float i=width*2+count%stop;i>1;i*=space){
  flag=!flag;
  fill(flag?0:255);
  ellipse(width/2,height/2,i,i);
 }
}

Aurelian24

Thanks ! That code works beatifully, i don´t get it why you say is not infinite

Yet i noticed that is not that smooth.

I´ve created this effect based on your code yet i still have a lot to improved.

`boolean flag;
int count=0;
int acc=1;
double space=0.90;
int stop=0;

float colorinc = 0;

float rotangle;
float posy;
void setup() {
  //size(600, 600, P3D);

  fullScreen(P3D);
  stop=(int)(width*2/space/space-width*2);
  noStroke();
}
void draw() {
  background(255);
  rotangle+=TWO_PI*0.001;


  flag=true;
  count+=acc;
  if (frameCount%50==0) {
    acc++;
  }

  colorinc++;
  pushMatrix();
  translate(width/2,height/2);
  rotate(rotangle);
  drawcircle(0, 0, width*2+count%stop, 0.1, space,colorinc);
  popMatrix();
}


void drawcircle(float x, float y, float size, float umbral, double space,float _c) {

  //fill(flag?  color(random(200), 0, random(155)):color(random(100), 255, random(200,255)));


  color color1 = color(map(size,0,width,200,0), 150, 0);
  color color2 = color(0, 150, map(size,0,width,0,200));

  fill(flag?  color1:color2);
  ellipse(x, y, size, size);
  ellipse(x-size/2+20*cos(posy), y+20*sin(posy), size, size);
  ellipse(x+size/2+20*cos(posy+PI/2), y+20*sin(posy+PI/2), size, size);
  ellipse(x+20*cos(posy+PI), y+size/2+20*sin(posy+PI), size, size);
  ellipse(x+20*cos(posy+PI/2+PI), y-size/2+20*sin(posy+PI/2+PI), size, size);
  ellipse(x+20*cos(posy+PI/2+PI), y-size/2+20*sin(posy+PI/2+PI), size, size);


    if (size > umbral) {
    _c+=0.1;
    posy+=0.001;
   // if (_c > 255) _c =0; 

    flag=!flag;
    size*= space;
    drawcircle(x, y, size, umbral, space,_c);
    //drawcircle(x-size/2, y, size, umbral, space);
    //drawcircle(x+size/2, y, size, umbral, space);
  }
}
`

Aurelian24

Here is a simplified,smooth and stable version of it:

boolean flag;
int count=0;
int acc=3;
double space=0.90;
int stop=0;

float colorinc = 0;

float rotangle;
float posy;
void setup() {
  size(600, 600, P3D);

  // fullScreen(P3D);
  stop=(int)(width*2/space/space-width*2);
  noStroke();
}
void draw() {
  background(255);

  acc = int(map(mouseX, 0, width, -200, 200));

  flag=true;
  count+=acc;
  if (count < 0) count += stop;

  drawcircle(width/2, height/2, width*2+count%stop, 0.1, space, colorinc);
}


void drawcircle(float x, float y, float size, float umbral, double space, float _c) {

  color color1 = color(map(size, 0, width, 200, 0), 150, 50);
  color color2 = color(50, 150, map(size, 0, width, 0, 200));

  fill(flag?  color1:color2);
  ellipse(x, y, size, size);


  if (size > umbral) {
    _c+=0.1;
    posy+=0.001;
    flag=!flag;
    size*= space;
    drawcircle(x, y, size, umbral, space, _c);
  }
}