Cantor's Sets with Processing

scvalex (Alexandru Scvortov) — Mon, 04 Feb 2008 11:08:31 GMT

This simple Processing programme generates the Cantor's Sets fractal.

Images are generated randomly, but tend to look like this.



int setHeight = 60;

color setColour = color(184 + random(-40, 40),

                        124 + random(-40, 40),

                        124 + random(-40, 40));

int wid = 600;



void setup() {

  size(wid, (int)((log(wid) / log(3) + 1) * (setHeight + 5)));

  background(0);

  smooth();

  

  cantorSet(10, 10, width - 20, setColour);

  

  save("cantorSet.png");

}



float rnd(float x) {

  return x + random(-20, 20);

}



void brushRect(int x, int y, int w, int h) {

  for (int i = 0; i < h; ++i) {

    float r = random(3);

    strokeWeight(r);

    float downpull = random(h / 4);

    float shudder = random(-2, 2);

    line(x + shudder, y + i, x + w - shudder, y + i + downpull);

  }

}



void cantorSet(int y, int offX, int wid, color col) {

  if ((y > height - 10) || (wid < 1))

    return;



  stroke(col);

  brushRect(offX, y, wid, setHeight);

  //fill(col);

  //rect(offX, y, wid, setHeight);

  

  color newCol = color(rnd(red(col)), rnd(green(col)),

                      rnd(blue(col)));

  cantorSet(y + setHeight + 5, offX, wid / 3, newCol);

  cantorSet(y + setHeight + 5, offX + wid*2/3, wid / 3, newCol);

}

Mandelbrot Set Fractal

korakot (Korakot Chaovavanich) — Fri, 03 Feb 2006 13:40:17 GMT

I take the code from Gustavo Niemeyer and modify it a bit.



import e32

from appuifw import *



app.screen = 'full'

app.body = canvas = Canvas()

width, height = canvas.size



xaxis = width/2

yaxis = height/1.5

scale = 60

iterations = 25



for y in range(height):

  for x in range(width):

    magnitude = 0

    z = 0+0j

    c = complex(float(y-yaxis)/scale, float(x-xaxis)/scale)

    for i in range(iterations):

      z = z**2+c

      if abs(z) > 2:

        v = 765*i/iterations

        if v > 510:

          color = (255, 255, v%255)

        elif v > 255:

          color = (255, v%255, 0)

        else:

          color = (v%255, 0, 0)

        break

    else:

      color = (0, 0, 0)

    canvas.point((x, y), color)

  e32.ao_yield()

 

lock = e32.Ao_lock()

app.exit_key_handler = lock.signal

lock.wait()

DZone Snippets: fractal code

Cantor's Sets with Processing

Mandelbrot Set Fractal