weird space-filling curve thing

master
osmarks 2 years ago
parent 05547b3181
commit cfca34ec89

@ -0,0 +1,51 @@
# https://www2.isye.gatech.edu/~jjb/research/mow/mow.pdf
def sierpinski_index(x, y, w):
index = w
result = 0
if x > y:
result += 1
x = w - x
y = w - y
while index > 0:
result *= 2
if x + y > w:
result += 1
old_x = x
x = w - y
y = old_x
x *= 2
y *= 2
result *= 2
if y > w:
result += 1
old_x = x
x = y - w
y = w - old_x
index //= 2
return result
import itertools
from PIL import Image, ImageDraw
width = 22
thing = 16
border = 8
points = list(itertools.product(range(width), range(width)))
print(points)
points.sort(key=lambda xy: sierpinski_index(xy[0], xy[1], width))
print(points)
def scale(point):
x, y = point
return x * thing + border, y * thing + border
img = Image.new("RGB", ((width - 1) * thing + border * 2, (width - 1) * thing + border * 2))
draw = ImageDraw.Draw(img)
for sp, ep in zip(points, points[1:]):
draw.line((scale(sp), scale(ep)), fill="white", width=0)
img.show()
img.save("/tmp/apio.png")
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