• fullscreen
  • FractalFern.pde
  • /**
     * The Fern Fractal
     * by Luis Correia.  
     * 
     * Simple rendering of a fern.
     */
     
    // Initial point: x0 must be 0 and y0 can be any value >=0.
    float x0 = 0;
    float y0 = 0;
    float x; 
    float y;
    float r;
    int i;
    int j;
    
    void setup() {
      size(500, 500);
      noLoop();
    }
    
    void draw() {
    
      background(0);
      
      loadPixels();
      
      // Maximum number of iterations
      int maxiterations = 1000000;
      
      int n = 0;
    
      while (n++ < maxiterations) {
    
        r = random(100);
    
        if (r <= 1) {
          x = 0;
          y = 0.16 * y0;
        }
        else {
          if (r <= 7) {
            x = 0.2 * x0 - 0.26 * y0;
            y = 0.23 * x0 + 0.22 * y0;
          }
          else {
            if (r <= 14) {
              x = -0.15 * x0 + 0.28 * y0;
              y = 0.26 * x0 + 0.24 * y0 + 0.44;
            }
            else {
              x = 0.85 * x0 + 0.04 * y0;
              y = -0.004 * x0 + 0.85 * y0 + 1.6;
            }
          }
        } 
    
        i = height - int(y * 45);
        j = width / 2  + int(x * 45);
    
        if (i >= 0 && i < height && j >= 0 && j < width) {
          pixels[i * height + j] += 512;
        }
    
        x0 = x;
        y0 = y;
     
      }
    
      updatePixels();
    
    }
    

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    about this sketch

    This sketch is running as Java applet, exported from Processing.

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    Luis Correia

    Fractal Fern

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    A simple rendering of a fern using an iterated function system or IFS for constructing the fractal.
    The formulas were taken from the Wikipedia:

    http://en.wikipedia.org/wiki/Iterated_function_system#Example:_a_fractal_.22fern.22

    Aris Bezas
    21 May 2008
    Great job
    Keep going.
    I am downloading the code to understund who fractal work.
    Thanks a lot
    Starkes
    22 Jan 2009
    beautiful, man.
    Jay Weeks
    12 Oct 2010
    nice, fractals are really cool
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