Very long Mandelbrot zoom

[mrflay]

<a href="http://vimeo.com/moogaloop.swf?clip_id=65563772&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA" target="_blank">http://vimeo.com/moogaloop.swf?clip_id=65563772&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA</a>

I made this video a few years ago, but I didn't publish it as it had quite a few glitches in it, and I didn't have time to fix them all. However I think its still worth sharing as the glitches aren't noticeable, and it demonstrates the staggering complexity of the Mandelbrot set quite well.

It was created using perturbation theory (see http://www.fractalforums.com/announcements-and-news/superfractalthing-arbitrary-precision-mandelbrot-set-rendering-in-java/ for details), and actually I consider the glitches quite interesting as they show what happens when the perturbation theory goes slightly wrong.

Enjoy.

Final Coordinates:
s=1.440702e-209
real= 0.372137738770323258373356630885867793129508737741343871454145013316339415564311643633274959661448634647353127050570342 1437940529579667217009514171418668223134488754717790306510572753060176524459647591093062238923074187833545
imaginary=
-0.090398245434178161692952411151009819302665482564540025169572392202937018054290354292479312967254362819250116894458453910745765627096542515646237235211433447554951683193833635793401797382250559343517787867404041479514567004
Number of iterations: 2027420

Music:
Born Into It (chill out mix) by Redmann
Another Boring Lunchtime (edit) by Psychadelik Pedestrian
By The Water by Space Invaders v Psychadelik Pedestrian

[Dinkydau]

I find it much too slow.

[cKleinhuis]

i checked your document, with the pertubation theory, sounds interesting, now i am going to check the "errors"

[cKleinhuis]

couldnt recognize any glitches, can you give an exact time location on where to find the glitches?

[mrflay]

couldnt recognize any glitches, can you give an exact time location on where to find the glitches?

For example see the four yellowy green blobs at 12.07

[cKleinhuis]

is there a high quality version ? how long did this render?

[mrflay]

is there a high quality version ? how long did this render?

I think it took about 9 or 10 hours to do all the calculations. The linked movie is at the full resolution but obviously has a lot of compression artefacts. I have a version that is 714mb that looks a fair bit better, but has no music.

[cKleinhuis]

such a small pixel resolution should be easy compressible, what codec you use ?
try h264 or xvid ....

[Dinkydau]

I think it took about 9 or 10 hours to do all the calculations. The linked movie is at the full resolution but obviously has a lot of compression artefacts. I have a version that is 714mb that looks a fair bit better, but has no music.

That seems really fast indeed. What is the original resolution and which cpu did you use?

[mrflay]

That seems really fast indeed. What is the original resolution and which cpu did you use?

Its made from about 1300 images rendered at 1280 by 960. Each 640 by 480 movie frame is made from scaling and blending two of these images together. This means the centre of the image has a minimum of x4 super sampling, but it can be a bit less round the edges. It was done using an old intel i7 iMac.

[Dinkydau]

I think you've done a fantastic discovery especially for mandelbrot set exploring. I can't wait until this is implemented somewhere so that I can use it. Unfortunately I can't program.

[mrflay]

such a small pixel resolution should be easy compressible, what codec you use ?
try h264 or xvid ....

I just used Apple's iMovie as it was the only thing I could find that would add music, and then presumably Vimeo recompressed it using whatever they use.

[cKleinhuis]

vimeo is known for their high quality, so, i think the quality got lost before ...


either way ... the animation is far less interesting than if you would just provide us with a single image showing the particular error that occurs when using your described perturbation method, which at least seems to be veeeeeeeeeeeeeeery interesting!!!!!!!!!!!!!!!!!!!1one!!!11!

[mrflay]

I think you've done a fantastic discovery especially for mandelbrot set exploring. I can't wait until this is implemented somewhere so that I can use it. Unfortunately I can't program.

I'm not sure I understand, can't you use my java app?
http://www.superfractalthing.co.nf

[mrflay]

vimeo is known for their high quality, so, i think the quality got lost before ...


either way ... the animation is far less interesting than if you would just provide us with a single image showing the particular error that occurs when using your described perturbation method, which at least seems to be veeeeeeeeeeeeeeery interesting!!!!!!!!!!!!!!!!!!!1one!!!11!

Attached are two images to demonstrate the issue. The images are slightly different zoom levels causing the code to pick different reference points, causing one to work, and one to go wrong.
Also I have attached some text files which you can load into SuperFractalThing (http://www.superfractalthing.co.nf) to generate the images yourself, although the colours will be different.