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Author: oonap0oo

julia_pil_image.py

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+# Julia Fractal using only math and PIL libraries
+# the image is calculated and opened in the system's standard image viewer
+# as PNG file
+# PIL (Pillow) does not come with a standard CPython installation
+# see: https://pypi.org/project/pillow/
+#
+from PIL import Image, ImageDraw
+from math import sqrt
+# parameters
+screen_width = 1600; screen_height = 1000 # image size in pixels
+# create a new PIL Image object
+img = Image.new("RGB",(screen_width, screen_height),
+ "black")
+draw = ImageDraw.Draw(img)
+# calculation and plotting
+c = -0.4 + 0.6j # complex constant for julia fractal
+# other interesting values:
+# -0.5125 + 0.5213j, -0.499 + 0.5213j, -0.498 + 0.5213j,
+# -0.8 + 0.156, -0.7269 + 0.1889
+for x in range(0, screen_width):
+ re = x / (screen_width - 1) * 3.2 - 1.6
+ for y in range(0, screen_height):
+ im = y / (screen_height - 1) * 2.0 - 1.0
+ z = complex(re, im) # initial value for z
+ for i in range(1025): # counter will be measure for how fast z grows
+ z = z**2 + c
+ if abs(z) > 2.0:
+ break
+ i = int(sqrt(i)*8) # apply non linear scaling on i
+ r = i % 33 * 8; r = min(255, r) # calculate color comp. from i
+ g = i % 129 * 2; g = min(255, g)
+ b = i % 65 * 4; b = min(255, b)
+ col = (r,g,b)
+ draw.point([x, y], fill = col)
+ if x % 100 == 0:
+ print(f"{x/(screen_width-1):.0%} calculated") 
+# plotting finished, image opens in standard img viewer
+img.show()