Title: 3D Mandelbrot and Julia sets with waves
Post by: Duncan C 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/129332759/large.jpg) (http://www.pbase.com/duncanc/image/129332759/original)
http://www.pbase.com/duncanc/image/129332793
"Seussian fractal"
(http://www.pbase.com/duncanc/image/129332793/large.jpg) (http://www.pbase.com/duncanc/image/129332793)
If you happen to have a pair of red/cyan 3D glasses, here is an anaglyph version of the "Seussian fractal"
"Seussian fractal angalyph"
(http://www.pbase.com/duncanc/image/129333034/large.jpg) (http://www.pbase.com/duncanc/image/129333034)
Click on any of the above to see a larger version along with plot details.
Regards,
Duncan
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/129332759/large.jpg) (http://www.pbase.com/duncanc/image/129332759/original)
http://www.pbase.com/duncanc/image/129332793
"Seussian fractal"
(http://www.pbase.com/duncanc/image/129332793/large.jpg) (http://www.pbase.com/duncanc/image/129332793)
If you happen to have a pair of red/cyan 3D glasses, here is an anaglyph version of the "Seussian fractal"
"Seussian fractal angalyph"
(http://www.pbase.com/duncanc/image/129333034/large.jpg) (http://www.pbase.com/duncanc/image/129333034)
Click on any of the above to see a larger version along with plot details.
Regards,
Duncan
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Sockratease on October 16, 2010, 12:16:04 AM
I particularly like that first image :surf:
Is this feature in the latest build available for download?
I am not sure if my version is the most current or not!
Is this feature in the latest build available for download?
I am not sure if my version is the most current or not!
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: kon16ov 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
Phil
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Duncan C on October 16, 2010, 02:47:10 AM
I particularly like that first image :surf:
Is this feature in the latest build available for download?
I am not sure if my version is the most current or not!
Is this feature in the latest build available for download?
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.
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Rathinagiri on October 16, 2010, 04:52:26 AM
Great and nice. :)
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: The Rev on October 16, 2010, 05:34:12 AM
Sweet. :D
The Rev
The Rev
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: jehovajah 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
i think.
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
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Rathinagiri on October 16, 2010, 10:00:27 AM
Is there any windows version?
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Duncan C 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
Title: Re: 3D Mandelbrot and Julia sets with waves
Post by: Sockratease 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 O0
The discussion has been moved to Fractal Software: General Software Discussion.
http://www.fractalforums.com/index.php?topic=4366.0
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 O0
The discussion has been moved to Fractal Software: General Software Discussion.
http://www.fractalforums.com/index.php?topic=4366.0