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December 13, 2017 17:40
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DrawBot: infinite zoom into a Sierpinski Square (takes a while to render!)
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# Slightly modified from | |
# https://twitter.com/petrvanblokland/status/860610270410018817 | |
# by Petr van Blokland @petrvanblokland | |
def drawSierpinskiSquare(px, py, w, maxW, maxH): | |
if w < 1: | |
return | |
for x in range(3): | |
for y in range(3): | |
if x == 1 and y == 1: | |
fill(max(0, 0.75 - w/100)) | |
rect(px+w, py+w, w, w) | |
elif px < maxW and py < maxH: | |
drawSierpinskiSquare(px+x*w, py+y*w, w/3, maxW, maxH) | |
canvasSize = 500 | |
numFrames = 40 | |
scaleFactor = 3 ** (1/numFrames) | |
for frame in range(numFrames): | |
newPage(canvasSize, canvasSize) | |
frameDuration(1/30) # 30 frames per second | |
fill(1) # draw a white background | |
rect(0, 0, canvasSize, canvasSize) | |
w = canvasSize * (scaleFactor ** frame) | |
drawSierpinskiSquare(0, 0, w, canvasSize, canvasSize) | |
saveImage("SierpinskiSquare.gif") |
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