Zoom fractal mandelbrot

tarikjabiri

Hi every body, I want to make a zoom in the fractal mandelbrot but i dont know how to make it. I am using loadpixels and it cant let me do that. I want an idea how to do that a simple guide or tuto in the internet.

Thank you in advance.

jeremydouglass

Search for "mandelbrot" and "fractal" on the forum.

Related discussions:

• https://forum.processing.org/two/discussion/11166/improvements-for-drawing-the-mandelbrot-set
• https://forum.processing.org/two/discussion/23712/fractal-zoom
• https://forum.processing.org/two/discussion/22209/2d-mandelbrot-sketch-adapted-to-use-doubles-now-doesn-t-work
• https://forum.processing.org/two/discussion/8338/animating-this-fractal-i-m-writing-for-an-audiovisualizer

Eeyorelife

Daniel Shiffman did a tutoriol on this, but with p5.js you could perhaps use the ideas from that video apply it to processing

noel

Hi.

Try the code below. Of course, you want to click on an interesting area with contrast and more colors to zoom in. Otherwise, you will zoom into a deep sea. Unfortunately, it only "zoom´s in" 6 times. At the seventh click, there is an overflowing, and I didn´t figure this out yet.

Cheers, Emmanuel.

float x, y, zr, zi, zr2, zi2, cr, ci, n;
float  zmx1, zmx2, zmy1, zmy2, f;
float di, dj, fn1, fn2, fn3;
float re, gr, bl;
int  xt, yt, i, j;

void setup() {
 size(500,500);
 prepare();
 }

void draw() {
   if (i <= width) i++;
    x =  (i +  di)/ zmx1 - zmx2;
      for ( j = 0; j <= height; j++) {
        y = zmy2 - (j + dj) / zmy1;
        zr = 0;
        zi = 0;
        zr2 = 0; 
        zi2 = 0; 
        cr = x;   
        ci = y;  
        n = 1;
          while (n < 200 && (zr2 + zi2) < 4) {
            zi2 = zi * zi;
            zr2 = zr * zr;
            zi = 2 * zi * zr + ci;
            zr = zr2 - zi2 + cr;
            n++;
          }  
       re = (n * fn1) % 255;
       gr = (n * fn2) % 255;
       bl = (n * fn3) % 255;
       stroke(re, gr, bl); 
       point(i, j);
      }
   }

void prepare() {
  di = 0;
  dj = 0;
  f = 10;
  fn1 = random(20); 
  fn2 = random(20); 
  fn3 = random(20);
  zmx1 = int(width / 4);
  zmx2 = 2;
  zmy1 = int(height / 4);
  zmy2 = 2;
  } 

void mousePressed() {
  background(255);
  xt = mouseX;
  yt = mouseY;
  di = di + xt - int(width / 2);
  dj = dj + yt - int(height / 2);
  zmx1 = zmx1 * f;
  zmx2 = zmx2 * (1 / f);
  zmy1 = zmy1 * f;
  zmy2 = zmy2 * (1 / f);
  di = di * f;
  dj = dj * f;
  i = 0;
  j = 0;
}

Chrisir

I made all vars into double here

replaced int with float in mousePressed() twice

double x, y, zr, zi, zr2, zi2, cr, ci, n;
double zmx1, zmx2, zmy1, zmy2, f;
double di, dj, fn1, fn2, fn3;
double re, gr, bl;
double xt, yt, i, j;

void setup() {
  size(500, 500);
  prepare();
}

void draw() {
  if (i <= width) i++;
  x =  (i +  di)/ zmx1 - zmx2;
  for ( j = 0; j <= height; j++) {
    y = zmy2 - (j + dj) / zmy1;
    zr = 0;
    zi = 0;
    zr2 = 0; 
    zi2 = 0; 
    cr = x;   
    ci = y;  
    n = 1;
    while (n < 200 && (zr2 + zi2) < 4) {
      zi2 = zi * zi;
      zr2 = zr * zr;
      zi = 2 * zi * zr + ci;
      zr = zr2 - zi2 + cr;
      n++;
    }  
    re = (n * fn1) % 255;
    gr = (n * fn2) % 255;
    bl = (n * fn3) % 255;
    stroke((float)re, (float)gr, (float)bl); 
    point((float)i, (float)j);
  }
}

void prepare() {
  di = 0;
  dj = 0;
  f = 10;
  fn1 = random(20); 
  fn2 = random(20); 
  fn3 = random(20);
  zmx1 = int(width / 4);
  zmx2 = 2;
  zmy1 = int(height / 4);
  zmy2 = 2;
} 

void mousePressed() {
  background(255);

  xt = mouseX;
  yt = mouseY;
  di = di + xt - float(width / 2); // replaced int with float here
  dj = dj + yt - float(height / 2); // replaced int with float here
  zmx1 = zmx1 * f;
  zmx2 = zmx2 * (1 / f);
  zmy1 = zmy1 * f;
  zmy2 = zmy2 * (1 / f);
  di = di * f;
  dj = dj * f;
  i = 0;
  j = 0;
}