/** * 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() { int maxiterations = 1000000; int n = 0; background(0); loadPixels(); 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; if(green(pixels[i * height + j]) < 254) { pixels[i * height + j] = color(0, green(pixels[i * height + j]) + 2, 0); } else { if(red(pixels[i * height + j]) < 126) { pixels[i * height + j] = color(red(pixels[i * height + j]) + 2, 255, 0); } } } x0 = x; y0 = y; } updatePixels(); }

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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

Starkes

22 Jan 2009

22 Jan 2009

beautiful, man.

Jay Weeks

12 Oct 2010

12 Oct 2010

nice, fractals are really cool

21 May 2008

Keep going.

I am downloading the code to understund who fractal work.

Thanks a lot