Quaternion Julia Fractal Animation

[fastrail]

hi!

i am new to this forum and quite new to fractal programming. still, i am quite happy with my animation so i thought i would share it...

it's not some animation like most in this forum that zoom *into* some fractal structure - but i just used the quaternion julia fractal as a basis for learning to play around with POV-ray programming (www.povray.org). those quaternion julia fractals are 4-dimensional structures projected into the 3D and depending on your parameters and where you cut through the 4th dimension you can gradually change the objects and get some awesome results.

i rendered the animation in 1920x1080 (which took about 190 hours) but down-sampled to 1280x720 for youtube. quality is still quite ok.

enjoy (and comment):

<a href="http://www.youtube.com/v/Z007aEhXOaU&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/Z007aEhXOaU&rel=1&fs=1&hd=1</a>

[cKleinhuis]

hello and welcome to the forums,
nice video, like the matrix layout, i am sure you will love the mandelbulb, and the mandelbox , just give it a try and search, they are using triplex numbers rather than quaternions, they should also be easily be implemented in povray

[miner49er]

I always thought it would be an interesting idea to make a video of Quaternion Julia sets, with a similar idea to this 'matrix' view.

Instead of repeating the same Julia Set at each X,Y,Z position each Set could be based on a location in the X/Y/Z. So, the set over to the right has a larger X portion of it's seed, over to the left smaller etc.

It's like those Mandelbrot 'maps' of Julia Sets but in 3D space instead of 2D. (I actually did this in 2D with Quaternion years ago)

[Nahee_Enterprises]

    hi!   i am new to this forum and quite new to fractal programming. still, i am
    quite happy with my animation so i thought i would share it...
   
    it's not some animation like most in this forum that zoom *into* some fractal
    structure - but i just used the quaternion julia fractal as a basis for learning to
    play around with POV-ray programming (www.povray.org). those quaternion julia
    fractals are 4-dimensional structures projected into the 3D and depending on
    your parameters and where you cut through the 4th dimension you can gradually
    change the objects and get some awesome results.

Greetings, and Welcome to this particular Forum !!!   

Definitely different than the usual fractal animations we have seen here.  Though there were some places it got even more dark than the rest of the video, could hardly see anything.  Was it your intention to make it so dark??
 

[fastrail]

yes, it made it so dark on purpose. darkness and brightness follows the music.

at about 4:00 the music turns into near silence, so i made the video near dark. it finds its way into a second attempt but runs into silence - and darkness - again.

[fastrail]

--snip--
Instead of repeating the same Julia Set at each X,Y,Z position each Set could be based on a location in the X/Y/Z. So, the set over to the right has a larger X portion of it's seed, over to the left smaller etc.
--snip--

when playing around with the program i tried this as well. i decided against it because the result was too chaotic ("chaotic" in some non-fractal sense ;-) ) to follow. if there are thousands of objects - each different *and* each changing all the time *and* the camera rotating quite fast, then it is really hard to follow patterns or to decide where to look.

maybe if you show just different "quats" (but each static) and just move around in such a cluster of different objects - maybe this would be ok to watch. for me, it would be a bit boring, though. i like it when shapes change over time.

[fastrail]

hello and welcome to the forums,
nice video, like the matrix layout, i am sure you will love the mandelbulb, and the mandelbox , just give it a try and search, they are using triplex numbers rather than quaternions, they should also be easily be implemented in povray

thanx for the nice welcome. i've watched mandelbulb and -box videos here in this forum and they are awesome. i sure will give them a try one day. at the moment i am thinking about another quaternion julia animation, though...