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Author Topic: Kleinian  (Read 1243 times)
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JosLeys
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« on: September 09, 2014, 08:05:43 PM »

Calcs in UF, rendering in Povray.
Showing part of a collection of more than 9 million spheres.


* Bol_use file_Bol000_01a.jpg (240.42 KB, 1100x825 - viewed 284 times.)
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bib
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100008697663777 @bib993
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« Reply #1 on: September 09, 2014, 10:50:03 PM »

Nice!!
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Between order and disorder reigns a delicious moment. (Paul Valéry)
cKleinhuis
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« Reply #2 on: September 09, 2014, 11:25:07 PM »

lovely, isnt that available as 3d formula ? i mean it looks just perfectly suitable for a realtime rendering approach!
would make a great formula for continuous zooms cheesy
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divide and conquer - iterate and rule - chaos is No random!
JosLeys
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« Reply #3 on: September 10, 2014, 09:11:45 AM »

So far, I have found no way to come up with a DE approach for this kind of pictures.
The calculation of all the spheres in UF takes minutes to hours. Calculating a DE would be equally expensive...
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cKleinhuis
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« Reply #4 on: September 10, 2014, 09:40:15 AM »

so, you place them explicitly in a looping kind of way and have not found an implicit representation for the sphere positions?
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divide and conquer - iterate and rule - chaos is No random!
JosLeys
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« Reply #5 on: September 10, 2014, 10:45:01 AM »

No, you start with a base sphere, and all the other ones are transformations of the base sphere by Moebius transformations.
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