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Welcome to Fractal Forums > Fractal Software > Fractal Programs > Windows Fractal Software > ChaosPro > ChaosPro Gallery > Lyapunov
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Author Topic: Lyapunov  (Read 2984 times)
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Kalter Rauch
Iterator
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Posts: 198
« on: August 12, 2016, 10:05:17 AM »
Lyapunov inversion...



Impasto...
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Kalter Rauch
Iterator
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Posts: 198
« Reply #1 on: August 14, 2016, 05:41:41 AM »


Same base image...different impasto...
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Kalter Rauch
Iterator
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Posts: 198
« Reply #2 on: February 05, 2017, 04:14:39 AM »
Previous image redone...
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Kalter Rauch
Iterator
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Posts: 198
« Reply #3 on: May 29, 2017, 08:33:58 PM »
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Kalter Rauch
Iterator
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Posts: 198
« Reply #4 on: May 29, 2017, 08:35:45 PM »
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Kalter Rauch
Iterator
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Posts: 198
« Reply #5 on: May 29, 2017, 08:39:34 PM »
Mapped to a sphere with GIMP...
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Kalter Rauch
Iterator
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Posts: 198
« Reply #6 on: May 29, 2017, 09:11:33 PM »
Note per last Lyupanov...

I added both Joukowski and Rieman-Zeta transformations
which yielded convoluted local inversions of features as well as
concentric banding at top/bottom middle.
The central region seems to have been constrained
into a nearly Julia-like symmetry.

There is one further matter...
the formula used has a kind of "Easter Egg"
within the sequence parameter
such that a normal sequence (eg. 1212332121),
when replaced by a random sequence (eg. 2873541756)
causes a much more meaningfully detailed drawing.
I have found nothing about using tat kind of sequence.
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