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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > IFS - Iterated Function Systems > Amazing Box, Amazing Surf and variations > Kaliset + boxfold = Nice new 2D / 3D fractal
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Author Topic: Kaliset + boxfold = Nice new 2D / 3D fractal  (Read 10997 times)
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dwsel
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Posts: 14
« Reply #30 on: July 03, 2011, 12:02:08 AM »
Quote from: DarkBeam on July 02, 2011, 07:01:25 PM
Quote from: DarkBeam on July 02, 2011, 06:48:59 PM
Heh thanks... wink

for dwsel. can you make me a graphic of this function?

(when x1=x-4*round(x/4); round(0.49999)=0 and round(0.5)=1  )
y=abs(x1+1) - abs(x1-1) - x1

In assembly I don't have floor() and ceil() functions, only it, but I can easily combine functions to get complex results smiley

the graphic of y should be the infinite folding

Corrected; this is the correct one! smiley I will do some functions with it soon Azn

y is light gray
BTW. Just in case wink I plot functions in Excel at the moment, Libre Office Calc does the same job as well, but for more 'serious plotting' I suggest Scilab http://www.scilab.org/

* infinifold.png (14.02 KB, 710x427 - viewed 263 times.)
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dwsel
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« Reply #31 on: July 03, 2011, 01:15:16 AM »
It's not that big surprise that 2D is very noisy even at low number of iterations (10). Here's mandel view and one of the julias (second did not fit into attachment) - viewed from distance are quite regular - they look like a carpet then wink

* ifold1.jpg (183.69 KB, 800x600 - viewed 264 times.)

* ifold2.jpg (225.69 KB, 800x600 - viewed 272 times.)
« Last Edit: July 03, 2011, 01:17:09 AM by dwsel » Logged
DarkBeam
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Posts: 2512


Fragments of the fractal -like the tip of it
« Reply #32 on: July 03, 2011, 10:18:21 AM »
 kiss thanks, released Infy folding now.

I made too a xl graph. wink
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No sweat, guardian of wisdom!
Kali
Fractal Supremo
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Posts: 1138
« Reply #33 on: July 04, 2011, 04:20:37 AM »
I just uploaded this to the gallery. Is my simplified version of KIFS (or genIFS), but I used custom transforms to implement a folding based on dwsel suggestions.



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=7757
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http://fractkali.deviantart.com/
Kali
Fractal Supremo
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Posts: 1138
« Reply #34 on: July 05, 2011, 03:32:30 PM »
I tried the iterated folding idea, prior to the inversion, this way (UF5 code):

while l<n
      l=l+1
      z=-abs(z-t)+t
      z=-real(z)+imag(z)*1i
      t=t*f
endwhile

n=number of loops
t=folding "translation" (complex)
f=subsequent folds scaling

In the following image, the fold iterations are 5, with (1,1) translation and 0.5 folding scale
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http://fractkali.deviantart.com/
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