It draws a randomly selected Julia fractal set each time.
Python, 42 lines
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Copy to clipboard1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 | # Julia fractals
# FB - 201003254
from PIL import Image
import random
# image size
imgx = 512
imgy = 512
image = Image.new("RGB", (imgx, imgy))
# drawing area
xa = -2.0
xb = 2.0
ya = -1.5
yb = 1.5
maxIt = 255 # max iterations allowed
# find a good Julia set point using the Mandelbrot set
while True:
cx = random.random() * (xb - xa) + xa
cy = random.random() * (yb - ya) + ya
c = cx + cy * 1j
z = c
for i in range(maxIt):
if abs(z) > 2.0:
break
z = z * z + c
if i > 10 and i < 100:
break
# draw the Julia set
for y in range(imgy):
zy = y * (yb - ya) / (imgy - 1) + ya
for x in range(imgx):
zx = x * (xb - xa) / (imgx - 1) + xa
z = zx + zy * 1j
for i in range(maxIt):
if abs(z) > 2.0:
break
z = z * z + c
image.putpixel((x, y), (i % 8 * 32, i % 16 * 16, i % 32 * 8))
image.save("juliaFr.png", "PNG")
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