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True-color Mandelbrot Fractal. It uses |x|, |y|, |z|, |angle(z)| values of the final iteration point for coloring.

Python, 45 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 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45``` ```# True-color Mandelbrot Fractal # FB36 - 20130113 import math from PIL import Image imgx = 800; imgy = 800 image = Image.new("RGB", (imgx, imgy)) pixels = image.load() xa = -2.0; xb = 1.0 ya = -1.5; yb = 1.5 maxIt = 256 # of iterations # find max values for |x|, |y|, |z| maxAbsX = 0.0; maxAbsY = 0.0; maxAbsZ = 0.0 for ky in range(imgy): b = ky * (yb - ya) / (imgy - 1) + ya for kx in range(imgx): a = kx * (xb - xa) / (imgx - 1) + xa c = complex(a, b); z = c for i in range(maxIt): z = z * z + c if abs(z) > 2.0: break if abs(z.real) > maxAbsX: maxAbsX = abs(z.real) if abs(z.imag) > maxAbsY: maxAbsY = abs(z.imag) if abs(z) > maxAbsZ: maxAbsZ = abs(z) # paint for ky in range(imgy): b = ky * (yb - ya) / (imgy - 1) + ya for kx in range(imgx): a = kx * (xb - xa) / (imgx - 1) + xa c = complex(a, b); z = c for i in range(maxIt): z = z * z + c if abs(z) > 2.0: break v0 = int(255 * abs(z.real) / maxAbsX) v1 = int(255 * abs(z.imag) / maxAbsY) v2 = int(255 * abs(z) / maxAbsZ) v3 = int(255 * abs(math.atan2(z.imag, z.real)) / math.pi) v = v3 * 256 ** 3 + v2 * 256 ** 2 + v1 * 256 + v0 colorRGB = int(16777215 * v / 256 ** 4) red = int(colorRGB / 65536) grn = int(colorRGB / 256) % 256 blu = colorRGB % 256 pixels[kx, ky] = (red, grn, blu) image.save("MandelbrotFractal.png", "PNG") ```
 Created by FB36 on Sun, 13 Jan 2013 (MIT)