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Dragon Fractal using iteration method (Python recipe) by FB36
ActiveState Code (http://code.activestate.com/recipes/577176/)

Dragon Fractal using iteration method.

Python, 26 lines
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# Dragon Fractal using iteration method
# FB - 201004036
from PIL import Image
imgx = 512
imgy = 512
image = Image.new("RGB", (imgx, imgy))
maxIt = 256 # max iterations allowed

for ky in range(imgy):
    for kx in range(imgx):
        x = float(kx) / (imgx - 1) * 2.5 - 0.5
        y = float(ky) / (imgy - 1) * 2.5 - 1.25
        for i in range(maxIt):
            if not (x < -1.0 or x > 0.75):
                t = x + y + 0.5
                y = - x + y + 0.5
                x = t
            elif not (y < -1.0 or y > 1.0):
                t = - x + y + 1.5
                y = - x - y + 1.5
                x = t
            else:
                break
        image.putpixel((kx, ky), (i % 8 * 32, 255 - i % 16 * 16, i % 16 * 16))

image.save("dragonFr.png", "PNG")
Tags: fractal, graphics, image, math