Mandelbrot World Record Attempt - Part 1 (1 to e2000)
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- เผยแพร่เมื่อ 24 ก.ย. 2024
- The deepest Mandelbrot zoom ever! This zoom is over 24-hours long, uploaded to TH-cam in 11 parts. It will finish on a mini-Mandelbrot. As such, I am claiming a world record for the deepest Mandelbrot video! I have kept to the traditional colouring style for this one. The first video may seem a little repetitive at first, but this builds more interesting shapes later into the zoom. You’re welcome to skip ahead a little. Consider playing your own music while you let this one roll. Sit back, relax, and soak it in. (The last minute also generates a cool optical illusion with the pattern it finishes on).
This will be the only time I ever attempt a video this deep. Rendering around the final mini-Mandelbrot is just too computationally expensive to try again; I have other things I wish to achieve now. If you wish to claim the deepest Mandelbrot title, and would like me to acknowledge it, here are my conditions: It must finish on a mini-Mandelbrot, it must be rendered in at least 4k, it should double in depth no faster than once per second, and you should publish the coordinates.
Finally, a huge thank-you to my supporters on Patreon, and my loyal subscribers who have made this channel possible! If it wasn’t for you, this content would not exist.
I always turn off mid-roll ads so you don't get interrupted! You can support this practice by joining Patreon, super-thanks, or making a direct one-time donation: donate.stripe....
Here are the links for each part (the release will be spaced)
Part 1: • Mandelbrot World Recor...
Part 2: • Mandelbrot World Recor...
Part 3: • Mandelbrot World Recor...
Part 4: • Mandelbrot World Recor...
Part 5: • Mandelbrot World Recor...
Part 6: • Mandelbrot World Recor...
Part 7: • Mandelbrot World Recor...
Part 8: • Mandelbrot World Recor...
Part 9: • Mandelbrot World Recor...
Part 10: • Mandelbrot World Recor...
Part 11: • Mandelbrot World Recor...
Full playlist of this zoom: • World Record Mandelbro...
This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel or commercially if you are a member of my Patreon page. / mathstown
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#deepest #Mandelbrot #fractal #mathstown #fractals
ALL HAIL THE GOAT MATHS TOWN. HE BLESSES US WITH ANOTHER VIDEO TO RELAX WITH!
Calm down son
I cannot even begin to imagine how long this took, but the effort and dedication you put into this masterpiece are undeniable. You deserve more than just a reward, this is the kind of achievement that should be immortalized. A full page in the Guinness World Records wouldn’t even begin to do justice to the brilliance of your work. This is the absolute pinnacle of fractal art zooms, a true testament to patience, skill, and artistic vision. It’s not just a visual experience, it’s a journey into the infinite, where every detail reveals something new and captivating. Such an extraordinary accomplishment deserves to be celebrated and recognized on a massive scale. Well done Maths Town! 🎉
Exactement 🎉🎉
The previous record took months of rendering and it was way faster with lower quality. Even with advances in hardware this probably still took months.
I used to render fractals on my Amiga 500 in 1990. 1 frame every 8 hours. So I know what this is and how it works. Now I just wait for Maths Town to blow my socks off. Peace Maths Town.
Hi, endlich mal wieder ein schönes und langes Fraktal-Erlebnis, welches einfach wieder mal dem Begriff "Unendlich" eine ganz neue Bedeutung verleiht.
Wunderbar und vielen Dank für deine neue Arbeit.
I know the pain of waiting an hour to upload just a 3-4 minute video, I cannot begin to fathom the time it must take to upload something like this... at least not on my pc lol
Bro wake up! someone just converted our high from last night into a mathematical video!
Never did i think this would happen, but good job.
Now i want to watch the whole zoom as a challenge.
This went WAY above my expectations.
At 2:00 the full fractal would already be bigger than observable universe.
Every minute it scales to 15 orders of magnitude, while observable universe is ~10^26 meters across, and our monitors have width like 0.4 - 1.2 meters.
Correct me if i'm wrong.
can you apply those numbers to the 15 cm phone screens?
Please tell us, what sort of machine and what software was used to compute these zooms? Also, how long do these videos take to process? This is an amazing and ambitious project. LOVE IT! Would it be possible to display the zoom factor in small text in a corner of the screen?
It is like journey to another universe. Thanks, nice video.❤
1 hour till it premieres. Super stoked, mate. 🕳 …. Keep it up and congratulations on the world record. Hope to work with you on a project someday 🙏🏻🚀☯️
The closer you get the further away you are. Just...keep...going...
Congratulations!!!
0:01 your journey begins
The coloration and detail on so many of these generation vary greatly in quality from one to the next. I imagine this one would have to be on the low end if the goal is to go as deep as possible
There has been no compromising on quality. Every pixel has been rendered faithfully at 4k resolution (although I usually render at 8k these days)
I'm curious how you find interesting points to zoom to. I know they can devolve to a mess.
Hail Maths Town. The Reining King of the Mandelbrot Set.
You are a fractal. Benoit would be proud.
can you make another 3 hour long third order zoom?
next: deep Mandelbrot centenary zoom 20 November 2024
- Honey! Go to the shower, i'm calling you a taxi. We will be taking Acid with you tonighnt!
check, super!
check, nice please post the minibrot root, we are developing a roots of the mandelbrot database, and this is a plain perfect record attempt ( i cannot decide, but would approve your layout straight) so just share the location in first video and if possible the belonging root which would be a plain integer, will talk to kalles fraktaler development crew to give an estimation on root, eh just babbbling )
Can you give us a sense of the orders-of-magnitude we're looking at from the top level to whatever your final magnification turns out to be?
It seems that it must be considerably greater than the scale of the universe from the subatomic to clusters of galaxies to the entire universe (as we currently understand it).
Also, this would seem to break all bounds of floating-point computational limits of modern hardware...
Yes, you are correct. And, yes, you are correct.
The original image would be growing exponentially, doubling in size every 1.2 seconds. It is already much larger than the observable universe.
The floating-point hardware on a PC or graphics card is no good. This is done with an arbitrary floating-point library (GMP), and a technique called perturbation. All rendering is done on a CPU for this reason.
@@MathsTown What CPU are you melting in order to do this?
@@MathsTown
Thanks for that.
Very cool.
Zoom depths are exponential, which means their exponents are linear. To give you a sense of scale, there are 10^62 Planck lengths in the observable universe. If you put that amount of observable universes in a line, you have 10^124. The exponent only increased by 62...! If you repeat that process, you get 10^186 (not 10^248) as it only increases by 62 yet again.
I’m interested how you choose the coordinates. Is it an iterative process? How do you keep from zooming into the middle of nowhere, it always seems like you’re zooming right in to a cool place, or is literally every place complex if you zoom in far enough?
Look at his tutorial video it should explain pretty much everything with how it works.
@@oldearth.Can you provide a link to the tutorial. I couldn't find it.
You are THE FUKCING GREATEST!!!
D A M N ! ! !
Don't know why I got cought up on this, I haven't the slightest intention of attempting it, my hardware is far far far too weak for that, but the condition for recognition of "doubling no more than once every second" seems ambiguous, or not much of a limitation at all? Do you mean that the objects on screen double in size no faster than once every second? Since actually doubling in depth would mean going from e1 to e2 to e4 to e8 to e16 all the way out to e21000 in only ~15 seconds, is that what you meant?
I mean doubling in magnification. 1e2 to 2e2 for example. It is not really a limitation at all, because the Kalles Fraktaler renders keyframes at this spacing. This is just to prevent people making a 2min video and calling it the deepest.
how long did it take to render?
Most of this year
@@MathsTown Holy f*** that's dedication
When is the one year long mandlebrot vid attempt though?
Six is six. 😎
So what are the coordinates of _your_ WR zoom? Don't be a hypocrite and share it just like anyone else who you demand the same from.
> and you should publish the coordinates.
So are you going to publish the coordinates? Or do they have too many decimal places to fit in a TH-cam description? ☺
Yes, I’ll put them on my website soon. Too big for the description.
Let's go Maths Town!!!!!
oh it fvcks. it fvcks hard.
How long did the very last key frame of this zoom take to render, just wandering
From memory, about a week. Cant really remember, it was a long time ago
Could you share the software and hardware setup for this? I tried UltraFractal on my gaming laptop and it didn't even make 10 minutes of this staff. Thanks for sharing!
Kalles Fraktaler 2. (Free). With my own After Effects plug-in (free on my website).
I have a 64Core/128Thread CPU. It took about 6 months.
Ultra Fractal is really slow compared to KF (but you can do more with it). (Also don't render every frame, it makes ugly zooms, you need to use keyframes like KF does. I'll try to make a tutorial one day)
@@MathsTown thanks so much! I'll try your software.
@@MathsTown and the tutorial will be much appreciated.
@@MathsTown The tutorial you currently have is very outdated. I'd pay for an updated tutorial :p
Bro, you did it wrong. 8+ hour videos so they can be played overnight. Nobody leaves a video on for 2 hours.
It's 4k what did you expect???
@@paolarei4418 what is your point? 4k is not meaningful
@@1lapmagic i mean by quality, also you can watch other zooms just so you know
@@paolarei4418 your comments don't offer anything useful or insightful, just hold your tongue next time bro
Will this also release as a full video
It will release in 11 parts
So, did you find the bottom? 😉
🫶🫶🫶
Ok so sorry for being dumb what is the word record your going after?
The deepest (highest magnification) Mandelbrot Zoom video
@@MathsTown ok kool thx 😊
I am sorry to say it but the new stuff comes across as 2 dimensional flat and unmoving. It just does not have the same quality as the old work that unfolded and moved
This is the old "classic' style which is more true to the mathematics, stay tuned for more artistic works in the future.
I actually prefer these types to the ones that move you get a more pure version of the fractal I feel like
I understand the argument. But I think sometimes moving ones are cool. Because it is more feeling like a "moving" universe... Flying through it. If it is not moving, the feeling is not so strong.