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Author Topic: Julia animation with 3D slopes  (Read 1455 times)
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Kalles Fraktaler
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« on: January 04, 2015, 10:19:14 PM »

<a href="http://www.youtube.com/v/i63Ht2FxZn8&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/i63Ht2FxZn8&rel=1&fs=1&hd=1</a>
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Chillheimer
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« Reply #1 on: January 05, 2015, 12:58:26 AM »

wtf?!
coool!
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3dickulus
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« Reply #2 on: January 05, 2015, 03:35:39 AM »

what? no zoom?  shocked
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Kalles Fraktaler
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« Reply #3 on: January 05, 2015, 03:56:14 PM »

I also did one Julia animation from the perpendicular burning ship formula.
I was hoping that the amazing ifs fractals it hides in it's interior would result in an amazing animation.
But disappointingly it did not turn out so good, it looks just like static images coming out from a mirror.

<a href="http://www.youtube.com/v/nLrS6bo8H54&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/nLrS6bo8H54&rel=1&fs=1&hd=1</a>

I am doing these experiments with Kalles Fraktaler 0, without any high-precision. Because I have still not succeeded in render Julia with perturbation. Nothing I will make publicly available (if you don't want it very very much wink)
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youhn
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Shapes only exists in our heads.


« Reply #4 on: January 05, 2015, 06:46:55 PM »

This is indeed not expected, as multiple fold/symmetry lines are visible. And only 1 seems to do something ... can't be right.

I've trying a bit in Gnofract4D with a custom formula. For some reason I can't use the animation director, since it complains that there would be different formulas at the keyframes (stupid program can't handle custom formulas in animatio ...?). So I rendered some frames manually and glued them into an animated GIF:

http://i.imgur.com/ezQr9Ya.gifv

http://i.imgur.com/ezQr9Ya.gifv

The magic seems to happend close to special points (mini's?) and it happens fast. This one is around X = -1.861576598  Y = -0.002510147. The value for Y started at -0.002510100. Gnofract4D works with size instead of zoom level. The size was 0.00023122429278918. In this direction, the special points seems to act as a seed, which generates or grows the shapes that are coming out of it. The further away, the slower the morphing process works.
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Kalles Fraktaler
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« Reply #5 on: January 05, 2015, 06:59:15 PM »

Thanks youhn. Even thoug your animation is very good, I still think it is far from the standard Mandelbrot Julia, were the details are moving in all directions on every level...
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youhn
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« Reply #6 on: January 05, 2015, 07:12:27 PM »

Could you do a hybrid mandelbrot/burning-ship morphing julia animation ... ?  huh?

Maybe lean towards the good old Mandelbrot set, giving it 2 iterations followed by only 1 BS iteration? I think we would see some sharp folds, within smooth curves and spirals. The mset moving julia's are indeed much more beautiful and lifelike.
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Kalles Fraktaler
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« Reply #7 on: January 08, 2015, 12:42:54 PM »

Here is another attempt with the Perpendicular Burning Ship, which turned out better.
The seed is going along the x-axis towards the end of the antenna:
<a href="https://www.youtube.com/v/XmQs1r2BgYI&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/XmQs1r2BgYI&rel=1&fs=1&hd=1</a>
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Adam Majewski
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« Reply #8 on: January 08, 2015, 06:09:36 PM »

Great. Could you describe algorithm ( how parameter c is chaning = path ) ?
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youhn
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« Reply #9 on: January 08, 2015, 08:44:18 PM »

Wow, that's nice! I wonder how the three seconds between 2:30 and 2:33 look like in super-slow-motion.  Spiral Thingy
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Kalles Fraktaler
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« Reply #10 on: January 13, 2015, 09:33:26 AM »

Great. Could you describe algorithm ( how parameter c is chaning = path ) ?
z = z^2 + c, where c is slightly changed for each frame...
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