Quasicrystal Pattern Generator
Python, 28 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 | # Quasicrystal Pattern Generator
# https://en.wikipedia.org/wiki/Quasicrystal
# http://mainisusuallyafunction.blogspot.com/2011/10/quasicrystals-as-sums-of-waves-in-plane.html
# FB - 20150808
import math
import random
from PIL import Image
imgx = 512; imgy = 512
image = Image.new("RGB", (imgx, imgy))
pixels = image.load()
f = random.random() * 40 + 10 # frequency
p = random.random() * math.pi # phase
n = random.randint(10, 20) # of rotations
print f, p, n
for ky in range(imgy):
y = float(ky) / (imgy - 1) * 4 * math.pi - 2 * math.pi
for kx in range(imgx):
x = float(kx) / (imgx - 1) * 4 * math.pi - 2 * math.pi
z = 0.0
for i in range(n):
r = math.hypot(x, y)
a = math.atan2(y, x) + i * math.pi * 2.0 / n
z += math.cos(r * math.sin(a) * f + p)
c = int(round(255 * z / n))
pixels[kx, ky] = (c, c, c) # grayscale
image.save("quasicrystal.png", "PNG")
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Cool generator! But I have one critical comment: You might be surprised but there are many people who use Python 3.x. I just added () to print and all worked fine. This simple step will make your code much more 2 and 3 compatible.
Thanks.