pseudo kleinian

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Offline Adam Majewski

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« on: September 05, 2017, 03:47:31 PM »
What means pseudo kleinian? How it is defined?
I googled and search FF

Linkback: https://fractalforums.org/programming/11/pseudo-kleinian/206/

Offline buddhi

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« Reply #1 on: September 05, 2017, 05:23:37 PM »
This is original code for PseudoKleinian fractal formula created by Knighty: https://github.com/Syntopia/Fragmentarium/blob/master/Fragmentarium-Source/Examples/Knighty%20Collection/PseudoKleinian.frag

Example Pseudo Kleinian fractal:

Offline Adam Majewski

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« Reply #2 on: September 05, 2017, 05:38:02 PM »
OK, thx.
What is the difference or relation with kleinian groups?
How to descrribe the algorithm?

Offline knighty

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« Reply #3 on: September 05, 2017, 06:36:35 PM »
"Pseudo kleinian" is just a name.
kleinian : because you can get pictures are very close to some kleinian group limit sets.
Pseudo : because you don't get limit set of kleinian groups except for special cases.
for example, in the picture above, there is probably a kleinian group at work (no "cuts") but the limit set is actually a cantor dust. you have to remove the lines and most of the surfaces. :)


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Pearls - Pseudo Kleinian 3D Fractal

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