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Julia's DragonEgyptian NecklaceI believe in DOG
Egyptian Necklace
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Description: Created with the Fractal Science Kit fractal generator. See http://www.fractalsciencekit.com/tutorial/examples/examples.htm for details.

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Filesize: 412.15kB
Height: 900 Width: 900
Discussion Topic: View Topic
Keywords: fractal science kit attractor IFS mobius 
Posted by: Ross Hilbert November 18, 2010, 01:34:08 PM

Rating: ***** by 3 members.

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Ross Hilbert
Fractal Phenom
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November 18, 2010, 03:22:02 PM
The basic idea is that you define an IFS from a set of Mobius transformations. The Mobius transformations I used for this image are:

  Mobius m1 = Mobius(1, 0, -1i, 1)
  Mobius m2 = Mobius(1, -1, 0, 1)
  Mobius m3 = Mobius(-1, 0, 0, 1)
  Mobius m4 = Mobius(1, -1-2i, 0, 1)
  Mobius m5 = Mobius(1, 1-2i, 0, 1)
  Mobius i1 = Mobius.Inverse(m1)
  Mobius i2 = Mobius.Inverse(m2)
  Mobius i3 = Mobius.Inverse(m3)
  Mobius i4 = Mobius.Inverse(m4)
  Mobius i5 = Mobius.Inverse(m5)

Ross
Bent-Winged Angel
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November 18, 2010, 02:41:46 PM
Well done! I really like this style that you do.  However I do not see the "mobius" part.  Care to exp[lain?  IE: Istarted a thread in the "let's collaborate" section on mobiusa. Hope to learn more! angel

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