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Separation from the Great One by FractKali Separation from the Great One by FractKali
m=x*x+y*y
x=x/m+0.06
y=abs(y)/m-1.1

(100 iterations)
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:icontimemit:
timemit Featured By Owner Nov 19, 2013  Student Digital Artist
delightful one, is it rendered in UF? 
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:iconfractkali:
FractKali Featured By Owner Nov 19, 2013
Yes... It's been a while since I used UF, I must do more at some point.
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:icontimemit:
timemit Featured By Owner Nov 19, 2013  Student Digital Artist
yes you really really must.. and then you could share some of your fractal secrets with me :iconevilgrinplz: .. like for instance when you say things like z=1/sqrt(abs(z))+0.03707-0.973983i  or m=x*x+y*y
x=x/m+0.06
y=abs(y)/m-1.1       .... how are you implementing it in UF... would i open a formula in UF and then open edit and adjust the formula there? 
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:iconfractkali:
FractKali Featured By Owner Nov 19, 2013
Yes, is pretty much like that
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:iconfractalhead:
fractalhead Featured By Owner Jan 30, 2012
well done
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:iconfractkali:
FractKali Featured By Owner Jan 30, 2012
Thanks!
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:iconfractalhead:
fractalhead Featured By Owner Jan 30, 2012
you are most welcome
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:iconvjaz:
Vjaz Featured By Owner Jul 10, 2011
very good
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:iconfractkali:
FractKali Featured By Owner Jul 10, 2011
Thank you!
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:iconhirurgulic:
HirurgUlic Featured By Owner Jun 22, 2011
Just beautiful!
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:iconfractkali:
FractKali Featured By Owner Jun 22, 2011
Thanks ;)
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:iconcoby01:
coby01 Featured By Owner Jun 9, 2011
wonderful work :clap:
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:iconfractkali:
FractKali Featured By Owner Jun 9, 2011
Oh thanks!
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:iconkaeltyk:
Kaeltyk Featured By Owner May 21, 2011
So simple maths for something beautiful !
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:iconfractkali:
FractKali Featured By Owner May 21, 2011
Thanks! That's, indeed, the real beauty I see on this :)
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:iconoppenheimer:
oppenheimer Featured By Owner May 9, 2011
pretty cool effect with those 'reflections' =)
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:iconfractkali:
FractKali Featured By Owner May 9, 2011
Thanks! that effect was absolutely unexpected!
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:iconelement90:
element90 Featured By Owner May 9, 2011
Did you a bailout limit? When I tried this formula using black for outer colouring with a bailout of 16 the tree patterns virtually disappear, at 160 there are a lot of almost circular black areas, at 1600 the black circles are much smaller and I can only finally get rid of any black areas by upping the bailout value to 50,000,000!
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:iconfractkali:
FractKali Featured By Owner May 9, 2011
I didn't use bailout, I'm coloring all as 'inside' with exp.smoothing... but I just tried with bailout to decide "inside" and "outside" pixels, and I got the clean patterns with a bailout limit of 5000 and 50 iterations. Thanks to this, now I know that this formula could work great in 3D, so thanks for pointing out!
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:iconelement90:
element90 Featured By Owner May 9, 2011
I've always include the bailout condition in my fractals except for Lyapunov and Pickover Popcorn orbit fractals, it didn't occur to me to omit the condition.
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:iconlaxmijayaraj:
LaxmiJayaraj Featured By Owner May 8, 2011  Professional Digital Artist
Beautiful...unique from the other similar patterns!!! :thumbsup:
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:iconfractkali:
FractKali Featured By Owner May 8, 2011
Thanks!!
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:iconsuicidebysafetypin:
SuicideBySafetyPin Featured By Owner May 8, 2011  Hobbyist Digital Artist
i don't understand the math part at all but this is beautiful!!!!
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:iconfractkali:
FractKali Featured By Owner May 8, 2011
Thank you, it's a very simple formula :)
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