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 Author Topic: 3D Mandelbrot and Julia sets with waves  (Read 3631 times) Description: Some 3D fractal images with an added sine wave effect 0 Members and 1 Guest are viewing this topic.
Duncan C
Fractal Fanatic

Posts: 348

 « on: October 12, 2010, 01:08:37 AM »

I recently added a new feature to my fractal renderer, FractalWorks:

You can apply a sine wave to the height values of pixels. The sine wave is calculated as a function of the fractional iteration value, and scaled to apply a fairly subtle wave pattern. You can very the period and amplitude. I also wrote the feature so you can attenuate the wave effect for the highest iteration pixels in a plot, since they tend to be so chaotic that it just ends up looking like noise.

Here are some sample images using the effect:

"Nautalis spiral"

http://www.pbase.com/duncanc/image/129332793

"Seussian fractal"

If you happen to have a pair of red/cyan 3D glasses, here is an anaglyph version of the "Seussian fractal"

"Seussian fractal angalyph"

Click on any of the above to see a larger version along with plot details.

Regards,

Duncan
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Regards,

Duncan C
Sockratease
Global Moderator
Fractal Senior

Posts: 3181

 « Reply #1 on: October 16, 2010, 12:16:04 AM »

I particularly like that first image

I am not sure if my version is the most current or not!
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kon16ov
Conqueror

Posts: 105

 « Reply #2 on: October 16, 2010, 01:44:13 AM »

VERY nice.  I, too, really like the first image.  I especially like the velvety texture; kind of craving cream cheese, now.  Though -- and this may just be the heavy dose of comtrex I just took -- I didn't seem to need the glasses for the last one.  It's pretty slick, as well!

Phil
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Duncan C
Fractal Fanatic

Posts: 348

 « Reply #3 on: October 16, 2010, 02:47:10 AM »

I particularly like that first image

I am not sure if my version is the most current or not!

Sockratease,

This new version, 0.6.4, was released earlier this month. The old version (0.6.3) will refuse to launch, stating that it's expired.

The waves feature is new with 0.6.4. It's in the 3D view window, in the "move mode" group of controls.

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Regards,

Duncan C
Rathinagiri
Fractal Fertilizer

Posts: 374

 « Reply #4 on: October 16, 2010, 04:52:26 AM »

Great and nice.
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The Rev
Guest
 « Reply #5 on: October 16, 2010, 05:34:12 AM »

Sweet.

The Rev
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jehovajah
Global Moderator
Fractal Senior

Posts: 2749

May a trochoid in the void bring you peace

 « Reply #6 on: October 16, 2010, 09:38:04 AM »

Yes the first image reminds me of a yin yang design i have seen on a jewelry box, and is the basis for the optical illusion of spiral motion in perfectly concentric circles!

What interests is the viscous liquid flow patterns, and maybe this may model this behaviour adequately enough to provide realistic patterns in fluid dynamic flow modelling.

The next extension is to use $e^{i\theta}$ i think.
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
Rathinagiri
Fractal Fertilizer

Posts: 374

 « Reply #7 on: October 16, 2010, 10:00:27 AM »

Is there any windows version?
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Duncan C
Fractal Fanatic

Posts: 348

 « Reply #8 on: October 19, 2010, 03:01:58 AM »

Is there any windows version?

Sorry, no. The way the app is written is deeply intertwined with Apple's Mac OS, and it would require a complete rewrite to make it available for windows.

Worse, it is written in a language, Objective C, which isn't normally available under Windows. It's possible that I could use an open source version of the underlying application frameworks, called GNUStep, to port the app to Windows without a full rewrite. That's about the only way I could see that happening, but unfortunately I don't have much time to dedicate to such a task.

Duncan
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Regards,

Duncan C
Sockratease
Global Moderator
Fractal Senior

Posts: 3181

 « Reply #9 on: October 19, 2010, 11:05:28 AM »

This topic got hijacked and went way off the subject!

I split off the other discussion into it's own topic so as not to distract from what should be discussed in this thread, while still keeping the other discussion alive

The discussion has been moved to Fractal Software:  General Software Discussion.

http://www.fractalforums.com/index.php?topic=4366.0
 « Last Edit: October 19, 2010, 11:08:23 AM by Sockratease » Logged

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