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(http://fc08.deviantart.net/fs70/f/2012/050/b/4/deep_minibrot___e2106___2_6998___by_dinkydauset-d4q9dip.png)

This is a render of a very deep/small mandelbrot set made in fractal extreme.

The magnification is:
2^6998
or:
4,0542418891555050661666627136959 E2106

You're just about at the 7200 zoom limit!

There's actually a limit?

On the plugins page at Cygnus Software their appears to be a 7200 zoom limit.
http://www.cygnus-software.com/downloads/plugins.htm

Ew. And they expect people to pay money for it. :)

Fractal extreme is an amazing program and well worth the money.

Your statement is the equivalent of saying "Your space ship can only take me to the edge of the known universe and you expect me to pay to use it?" 7200 zooms is INSANE and from the looks of that image, he was only able to even render as deep of an image into the Mandelbrot set as he did is because the location is in far west on the x axis, an area that renders relatively quick compared to most other interesting areas.

You give me a program that can render images/videos this fast and this deep and is as user friendly and extendable as Fractal extreme and I'll gladly pay for it.

Umm... Notice the smiley face at the end of Pauldebrot's post?   ::)

I've been checking the plugin kits header files and there appears to be an unnecessary limit of 960 bits (956 zooms)  for the plugins.
I don't see why that can't be widened to 7200 bits ...  :suspious:, that doesn't divide by 64.

Yes, I was being (somewhat) facetious.

Though last time I checked to see if it might be worth my money yet, I didn't see either a formula parser or good enough color control (not even 24bpp color???). I'll drop by their site later and see if they've added some features lately. :)

There's certainly 24bpp colour.
Your limited to 228 colour indexes
The reason, back in the days of 256 colour VGA displays windows needed 28 colours for itself.
You could use them but you'd mess up the text and window borders.
It does interpolate between the colours if the colour mapping is slow enough.
Fractal Extreme is all about speed of calculation, so there's trade-offs.
I'd like smoothed iteration banding, but that would mean calculating every pixel.
Sometimes I get up to 67% guessed pixels, that's a nice speed up.

i'm a bit curious. what exactly is the thrill of theese deeper and deeper zooms. they don't seem to show up something new. is it just for breaking records?
e2106 seems more than insane, when you think our universe has a dimension of about e62 planck lengthes

i can remember how slow ultra fractal went with arbitrary precision even at e20, so i'm also interrested in the render time of an image like this (with all available interpolation tricks)
thanks in advance!

the zoomed area isnt interesintg enough, paudel is searching the seahorse valle on really deep iterations, and he really yields interesting new views ...
we wont find anything REALLY new down there, but the structures get more complex, and the funny thing they are not equally complex, you
find any combination of arms-and-spirals you might imagine ... but traveling down there is the hell of time consuming, isnt there a hardware out
there that can help to achieve arbitrary calculcation depth???

i know pauldel's seahorse series, but this one doesn't look like made for interresting view. it looks like made for depth of zoom. but ok, i might be wrong here...

i'm afraid even quantum cpus (if they are possible) won't achieve that goal...

it would be absurd to store a 1gigabyte sized float value but this would be the goal of such a hardware


i agree this movie lacks interesting regions and coloring, but it is somehow funny to let a mandelbrot pop up out of the chaos

correct me if i'm wrong but 2^6998 means a 6998 bit number - less than a kilobyte ?!

i think the big problem is to process this number in one calculation ...

Ah, I see.

anyway, FX was worth every penny to me, I use it mainly for exploration of my two favorite fractals. When looking to make more appealing images, I prefer UF5 but god is it slow at deeper zooms.

I typically use FX to find an interesting area, then go there in UF to render the image.

Sorry to get so off topic, interesting image.

People have used FPGA (Field Programmable Gate Array) to do wide bit arithmetic in one hit.
You'd be designing the arithmetic using hundreds of thousands of logic cells, a non-trivial task.
There's a language called VHDL you do that in.
Clock rates are generally slow, hundreds of Mhz, there would be latency from communication over the PCI bus similar to a GPU card.
People that have done it for mandelbrots have generally use development boards that include an on chip CPU, so ARM or MIPS + FPGA.
The PCI cards are expensive.
http://www.xilinx.com/products/boards-and-kits/EK-K7-KC705-G.htm $1695
http://www.xilinx.com/products/boards-and-kits/EK-V7-VC707-G.htm $3495

A far more financially palatable option would be to use the GPU.
FastFractal256 used CUDA, but it was an primitive program with nothing to recommend it other than the fast render.

Problem is, apart from we few Fractalers there a few applications for wide arithmetic so there's nothing specific off the shelf.

Thanks for the replies

I'm leaving room for new records although I can't imagine no one has done a render at that depth before. With the amazing speed of this program it would be easy.

But the mandelbrot set has infinitely small details. 7200 zooms is nothing compared to infinity.

I indeed chose this location because of the shorter rendering time

The interesting thing about this deep zoom is the fact that there is a small mandelbrot set at this depth made visible. Although we know that it doesn't matter how deep you zoom, there is always a smaller minibrot to find, I thought it was interesting to actually go there and render it. That's all actually.

The time this image took to render is only 4 days! Compared to the 11 months ultra fractal took to render a similar image for me at a depth of around 2^4500, this is a rediculous improvement. If I knew this I would have rendered it at a larger resolution.

It's not very interesting indeed. It renders fast at this location, but unfortunately it's also the most boring part. I really appreciate everyone's time exploring other more interesting parts of the mandelbrot set (and other fractals) though. But what you say about the arms is interesting indeed. At this depth the arms aren't even visible anymore because there's just too many of them, but the next thing on my to-do-list is to render this with the arms visible, which would require of course a higher resolution and maybe some more zooms.

There's an interesting discussion about computers here but I'll have to let that be for what it is because I don't know too much about that stuff.

Cryptography?

I suspect Crypto-cracking is more likley.
The NSA probably doesn't want us to have hardware capable of wide arithmetic.
I imagine the No Such Agency has a warehouse full of servers with custom ASICs doing n-bit arithmetic.
Think of the Fractals they could create!

This is impressive from a technical point-of-view, though an unremarkable image otherwise.

I must ask - what was the dwell limit, and time to render?

What do you mean with dwell limit? Render time was 4 days, so not very long after all.

Maximum iteration. At which point the pixel is black and considered part of Mandelbrot set.

I used 300000 for the image but I don't know how many iterations were actually needed.

Here is a new, anti-aliased render of this minibrot:
(http://th01.deviantart.net/fs70/PRE/f/2012/179/d/2/2_7000_by_dinkydauset-d556usm.png) (http://dinkydauset.deviantart.com/art/2-7000-311048806)

It's absolutely worth it to check out the original aliased render of 4000×3000 on deviantart:
http://dinkydauset.deviantart.com/art/2-7000-311048806

Are you sure? Have you been there?  ;)

An idea for the next project - zoom real deep into the general area where you found that minibrot, and instead of going straight for it, zoom into one of the tendrils on the edge so you get a minibrot with "peanuts" surrounding it. I imagine it would look a lot nicer.

The full size image was worth it, but it shows that the minibrot on the far right could have done with more iterations, I feel.

Other than that, the detail is so fine even anti-aliasing it still creates moire patterns.

Nice.

Simon

That would be better indeed. Unfortunately it's not possible to go much deeper than this with fractal extreme. 2^7200 is the max. I could do that with a new zoom starting at 0.

I had saved the render at some point and continued it later, but it didn't save the iteration data. Now it starts all over if I add more iterations, unfortunately.

I actually like the moire patterns, they create a glitter-like effect with the stars.

Me too, I wasn't saying they were bad, just an observation on how fine they were.

Simon