# Dragon Fractal using IFS method # FB - 20120106 import random from PIL import Image imgx = 512 imgy = 512 image = Image.new("RGB", (imgx, imgy)) maxIt = 100000 # max iterations allowed n = 6 # coloring level color = [0] * n red = [] grn = [] blu = [] for j in range(2): red.append(random.randint(0, 255)) grn.append(random.randint(0, 255)) blu.append(random.randint(0, 255)) xa = -1.0 / 3 xb = 7.0 / 6 ya = -1.0 / 3 yb = 2.0 / 3 x = 0.0 y = 0.0 for i in range(maxIt): k = random.randint(0, 1) for m in range(n - 1): color[m] = color[m + 1] color[n - 1] = k if k == 0: x0 = (x - y) / 2.0 y = (x + y) / 2.0 x = x0 else: x0 = 1.0 - (x + y) / 2.0 y = (x - y) / 2.0 x = x0 kx = int((x - xa) / (xb - xa) * (imgx - 1)) ky = int((y - ya) / (yb - ya) * (imgy - 1)) if kx >=0 and kx < imgx and ky >= 0 and ky <= imgy: image.putpixel((kx, ky), (red[color[0]], grn[color[0]], blu[color[0]])) image.save("DragonFractal_IFS.png", "PNG")