**Description**

The final magnification is 2.1x10^275 (or 2^915). I believe that this is the deepest zoom animation of the Mandelbrot set produced to date (January 2010).

Each frame was individually rendered at 640x480 resolution and strung together at 30 frames per second. No frame interpolation was used. All images were lovingly rendered by 12 CPU cores running 24/7 for 6 months.

**Music**

"Research Lab" by Dark Flow.

**Coordinates**

Mandelbrot

Final zoom location:

real=-1.7400623825

7933990522

0844167065

8256382966

4172043617

1866879862

4184611829

1964415305

6054840718

3394832257

4345000825

9172138785

4929836778

9336650341

7299549623

7388383033

4646546129

0768441055

4861368707

1985055926

9507357211

7902436669

4013479375

3068611574

7459438207

1288525822

2629105433

6486959460

03865

img=0.0281753397

7921104899

2411521144

3195096875

3907674299

0608570401

3095958801

7432409201

8638540081

4658560553

6156950844

8677407700

0669037710

1916653380

6041899932

4320867147

0287689837

0483131652

7873719459

2645920846

0043315033

3362859318

1020170329

5807479996

6721030307

0821501719

9479847808

9798638258

639934

magn=2.0667172E275

max iterations=10,000,000

Download WMV (640x480 medium quality - 86MB)

Download MP4 (640x480 medium quality - 234MB)

Download WMV (640x480 full quality - 539MB)

## 20 comments:

2.1E275. Something like seven universes? Where an individual particle becomes the size of a universe, and then an individual particle is chosen from withing that universe- and so on- a total of approximately seven times? It's an amazing work of exploration. It's breathtaking. And you can continue it, can't you? Go deeper?

Here's how I explained it on my Facebook page: "If you were to start with the whole universe in front of you, and then zoom in on a single particle (an electron for instance)- and that particle then became a universe, and you were to zoom in on a single particle within that universe, and then that particle were to become a universe, and you were to zoom in on a single particle within that universe, and then that particle became a universe, and you were to zoom in on a single particle within that universe, and then that particle became a universe, and then you were to zoom in on a single particle within that universe, and that particle became a universe, and then you were to zoom in on a single particle within that universe, and at that point you found yourself essentially back where you started, that's the zoom-scale equivalent of what you'll find in this video of the Mandelbrot Set, which can be described, in mathematical notation, with less than 30 symbols. Even if Moore's Law continued unabated for trillions of millenia, and all the mass in the universe were turned into data storage to simply contain the specific coordinates of ever-deeper points of exploration, the Mandelbrot Set still could not be fully explored. You could say that it's more complex than the universe... if not for the fact that the universe has the Mandelbrot Set in it."

Which software did you use? (I can see how it would take that long, since the precision is way beyond ordinary floating point numbers, but how does one implement that, actually? Or is there an Integer-Mandelbrot formula?)

Check out this excellent summary of existing fractal programs. The key phrase to use on search engines is "arbitrary precision".

https://www.fractalus.com/fractal-art-faq/faq06.html

Was the coordinate you zoomed to specifically chosen to give interesting patterns the whole way down, or would any point do that? I ask because there are less complex areas to the side of the zoom center that look like they would show a uniform flat color forever. On the other hand I find it hard to imagine that you could have manually discovered a special coord that deep down that works at all levels of zoom.

@felix The point was chosen to be interesting. I explored other locations that I found to be less interesting or too computationally intensive. After one spends some time exploring the Mandelbrot set, one starts getting a feel of where to go to find interesting points. Google "quickman" - an easy, fast Mandelbrot explorer - and see for yourself.

Not a scientist. Not a mathematician.

I understand the basic concepts of which you speak.

But I primarily enjoy this work from an artistic perspective.

The fusion of the ultra zoom data with the

Dark Flowtrack makes for an engaging journey.Be sure to let Dark Flow know that I bought their CD on Amazon after hearing several of their tracks in your videos.

All the best and keep up the good work!

- Ken

@Ken - I'm glad you enjoyed the fractal video and the music (I'll pass along the word). BTW, the album cover for Dark Flow's album is actually a color-modified version of this picture: http://fractaljourney.blogspot.com/2007/09/sunset-mirror.html

If you get the physical CD, the disc actually uses this image: http://fractaljourney.blogspot.com/2007/05/saturday-confetti.html

Dark Flow is also a Mandelbrot fan!

I love this video and would like to download the full quality file , but the link is dead. Is there any way to download?

@Alan Harriss Thanks for spotting the dead link. I have uploaded to a new host and updated the link.

It seems like the video link is dead again. Is there any way you can upload it again?

Thanks!

I found a better file host. I hope this one sticks! Thanks for your patience.

this is absolutely awesome...

I just finished my own program to make Mandelbrot zoom videos, but will never have the time and specs to do such an amazingly deep zoom!

But I used your coordinates so that i have a good starting point.

How do you find coordinates that work?

Finding the coordinates took almost as much time as rendering the zoom. Finding the coordinate is mostly trial and error. After some practice, though, most people will learn to zoom in on vanishing points for areas of interest and self similarity.

The video looks great, but it uses the absolutely most annoying download system I have seen in 20 years of the Internet.

Would I be possible to share further details about the software/hardware configuration used for this creation ? For instance, the description states that "All images were lovingly rendered by 12 CPU cores running 24/7 for 6 months.". You mean, 12 GPU, right ? Otherwise, do we talk about 12 dies or 6 CPU + Hyperthreading ? Did you use a rendering computer or an ordinary workstation ? I'm really curious about the hardware behind this marvel :)

Thank you

I used three computers with quad-core processors, such as Intel Q6600. Software was Ultra Fractal, which scales perfectly with processor cores.

Awesome images!

For those interested in programming, here's a tutorial on Mandelbrot in just 25 lines of JavaScript:

http://slicker.me/fractals/fractals.htm

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