Infinite Series



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Infinite Series
SHiNKiROU July 21, 2010 at 3:38pm
© SHiNKiROU 2010-2012
This is my attempt at making a fractal about the Zeno's Paradox, where something get divided into half, then add itself divided by half, and so on, like 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ...

Not to be confused with the golden spiral, where the ratio is different.

Context Free Art code:
Code:
startshape main
rule main {
  P1 { s 0.5 1 }
  main1 { x 0.5 b 0.1 h 2 }
}

rule main1 {
  P1 { s 0.5 y -0.25 r 90 }
  main { s 0.5 r 180 x 0.125 y 0.25 b 0.2 h 2 }
}

rule P1 {
  SQUARE { b 0.1 sat 0.3 h 180 }
  //SQUARE { b -0.5 a -0.85 s 0.5 0.75 x 0.25 y 0.125 }
  C1 { }
}

path C1 {
  MOVETO { x -0.5 y 0.5 }
  ARCTO { x 0.5 y -0.5 }
  STROKE { width 0.002 b 1 }
}

I'm going to put a city on the spiral in the future.

Other visualizations:
- http://en.wikipedia.org/wiki/1/2_%2B..._%C2%B7_%C2%B7 - Wikipedia
- http://hascanvas.com/Infinite%20Zoom - Processing visualization, made by me

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Submitted Jul 21, 2010
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Size 100 KiB

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