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This fractal created by converting logic statements into equations using fuzzy logic operators:

X: X is as true as Y is true

Y: Y is as true as X is false

See: Scientific American Magazine, February 1993, "A Partly True Story"

Python, 27 lines
 ``` 1 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``` ```# Fuzzy Logic Fractal # See: Scientific American Magazine, February 1993, "A Partly True Story" # http://en.wikipedia.org/wiki/Fuzzy_logic # FB - 201108147 import math from PIL import Image # drawing area xa = -1.2 xb = 1.2 ya = -1.2 yb = 1.2 maxIt = 255 # max iterations allowed # image size imgx = 512 imgy = 512 image = Image.new("RGB", (imgx, imgy)) for ky in range(imgy): for kx in range(imgx): x = kx * (xb - xa) / (imgx - 1) + xa y = ky * (yb - ya) / (imgy - 1) + ya for i in range(maxIt): if math.hypot(x, y) > 1.1: break x0 = 1 - math.fabs(x - y) y = 1 - math.fabs(y - (1 - x)) x = x0 image.putpixel((kx, ky), (i % 8 * 32, i % 4 * 64, i % 16 * 16)) image.save("FuzzyLogicFractal.png", "PNG") ``` Created by FB36 on Sun, 14 Aug 2011 (MIT)