@@smaurtmon Maybe it's mathematics that follows nature, and not the other way around. Maybe mathematics is a man-made system and not an inherent part of the universe.
Fun fact if the highest mandelbrot set calculated existed with each pixel equalling one atom, the observable universe would not be large enough to fit the whole set
Lovely zoom, with beautiful colors choices! I was lucky to catch a ? *1986* show at the then NYC IBM building which had a museum showing various exhibits. This one was Art & Computers. Fractals, CGI rendetings were one of the highlights. There was this monitor w 3 different programs including "Zoom The Mandelbrot Set". What was that? So I began to zoom in. You had to adjust the iterations with one other factor bc if not enough - you wouldn't get much detail. And I realized these tiny mandlebrots would appear! They had different color choices, too. Anyway, eventually - this was a 2ft x 2ft monitor; I spent several days there. I got down to 10 places which took about *5 mins to render* quite detailed though not as much as this. One mini-brot looked like a green shaded galaxy with lighter glittering "arms" swirling around it! It was a glorious experience. Then the latest issue of Sciencetific America came out, and all the IBM guys came down to use it. I didn't much after that, but ai'd practically had to mysrlf for 3 days.
I love this! It’s like a journey showing off the various pattern styles existing in the Mandelbrot set, with gorgeous color choices, and best of all: silence!
There’s a part when I first saw this in math class where I saw the Buddha. It was like an outline of his meditation 🧘 pose. I tripped so hard out loud in class when I recognised it. Also it made sense it would have a connection into the realm of math and nature at the same time. I was so excited I couldn’t stop drawing it in art class and drawing Buddha next to the fractal , a side by side, I showed my math teacher and philosophy teacher both were impressed by the similarities.
Salve a tutti. Sono pensionato da poco e mi sto divertendo a generare le immagini del mandelbrot classico. Ho notato 3 cose in questo video: 1- la profondità dello zoom mi pare vada oltre la risoluzione delle 15..16 cifre del double-floating point, è una mia sensazione. Per quel che ho sperimentato fin ora, ho visto che piu si scende in profondità , più cifre e più iterazioni sono necessarie, e di conseguenza piu tempo di calcolo. Questo mi fà pensare che il video così fluido (e bellissimo!) sia stato fatto con una sequenza di immagini, che va benissimo, intendiamoci. 2- la sfumatura delle zone limitrofe. Utilizzando semplicemente solo il valore di escape-point per definire un colore, si ottengono delle zone delimitate, per sfumarle ho trovato un video che fa vedere come fare tenendo conto del logaritmo della distanza in eccesso al raggio limite. 3- quello che non ho ancora trovato come fare (che vedo qui al minuto 0:50 , e che ho visto in qualche rara immagine): sono i ghirigori nella zona intermedia. Chissà se lo scoprirò prima di tornare a casa nel modo dei più :) Ok. In ogni caso un grazie di cuore. Ciao :) Arturo.
@@thederpling209 I am currently working on my own fractal zoom engine using perturbation theory and due to my research I can assure you, that that is indeed how such software works.
I'm just wondering out of curiosity, how long did this take to generate the fractal and then render this video? And computer specs would be appreciate for context since a higher end computer could do it much faster. I'm just curious as to the amount of processing power required to generate a video like this. And also what program you used to generate these fractals, since different different programs will probably generate them with varying degrees of efficiency. And finally, thanks for taking the time to make and share this. Cheers, and all the best! =)
well on my laptop (with rtx 3050) it takes a few ms to render a single 2k image multiply that by 6300 frames is about 20 seconds factor in that better gpus exist yourself
the thing with zooming is floating point precision, so you have to use some kind of special numbers that can do extremely high precision for it to be able to zoom attempted this on compute shader in unity, after zooming for a while it reached float' maximum precision
@@trinityy-7 6300 seconds is only what? 5.5 minutes just off the top of my head. Most of these videos are a lot longer. Though I can't recall how long this one specifically was. Of course, that number can always be scaled up, assuming it scales linearly. Thanks for the sort of benchmark to go on. No pun intended.
@@molor0824 I'm vaguely familiar with CS, so I understand what a floating precision number is, but I know it's remiss to assume prior knowledge when explaining things like this. I'm not too intimately familiar with computer programming concepts though so this information was useful. You provided me some terms I can look up in more detail, like how unity handle shaders. I know the words, but not how they work. Thanks for the response!
Deus é realmente o maior, eu repito, O MAIOR Gênio que já existiu. Veja essas formas infinitamente se transformando e com padrões diferentes. É maravilhoso.
Understandable question, but I don't see any chaos in this system at all. To my mind, this could be considered an illustration of "perfect" order. (and I agree with other comments here that "perfection" may well be impossible to define... as well as the word "flawed") As I see and understand the Mandlebrot Set, there is nothing random about it. It is thoroughly replicable, down to the last (sic) detail. and is defined specifically by a particular mathematical formula that regenerates the exact same results every time. So, no chaos here, although there is certainly plenty of amazement and beauty... :-)
Thank you for that. When I program the Mandelbrot set I colour using the number of iterations required before it becomes unstable. However, I don’t get the colour differences in distinct areas like he does. One area might be mostly brown tones whereas another area nearby might be mostly blue tones. When I do it, both these areas are coloured similarly. I just wondered if the programmer had another trick up his sleeve.
@@colinfraser1309 my guess is that slight differences in the stability spectrum became more exaggerated in this animation so you get more varying colour schemes, but that's surely not the only trick in place here.
Meraviglioso , la matematica sacra si esprime in progressione nella forma e nei colori più armoniosi manifestando amore e intelligenza in un tunnel di vita e verità 💖✝️🕎💟💖
Wait a minute -- this is pure math. Maybe a sunset, or a starry night could make me reverent, but not a quadratic equation. Does an all-powerful god have the power to make 3 an even number?
John 3:16 For God so loved the world, that he gave his onlvy begotten Son, that whosoever believeth in him should not perish, but have everlasting life
You stopped it too soon. If you carry the numbers on far enough you see gods final message to his people... . . . . It's Rick Astley performing Never Gonna Give You Up
thanks for not putting some annoying music behind this. just pure, beautiful math visualizations.
Glad you like it!
@@Mathigon4 years later and you still reply to comments, legendary. (positive comment)
well you can just mute the video
I put my device in full volume because I was confused why there was no music 😂
Still blows me away when i see this thing. It looks so crazily natural, with all the curves and patterns, yet is completely mathematical.
Nature follows mathematics. Why is that?
@@smaurtmon because our reality is a simulation
@@smaurtmon Maybe it's mathematics that follows nature, and not the other way around. Maybe mathematics is a man-made system and not an inherent part of the universe.
Maybe mathematics is used to describe the natural world and its phenomena
same thing
props to the camera man for going to a molecular level to film this for us.
it's a photo not a molecule
bro is asking to be wooshed @@Panos_986
@@emanuelg1892be quiet
Fun fact if the highest mandelbrot set calculated existed with each pixel equalling one atom, the observable universe would not be large enough to fit the whole set
@@OubleJum the universe would be like a neutron compared to the Mandelbrot set
Fractal zooms are the most beautiful zooms that anyone could create.
I don't think you understand what you're talking about. NO ONE created this. That's the whole point. We just discovered it.
@@Stoirelius God created it. It's one of the hardest evidences we've found in nature of design. Math is design.
@@ttvflakitgh nope. Bye
@@ttvflakitgh math is indeed design. made by man.
this gave me an optical illusion and now my monitor is shrinking help
It can if u stare for 12 seconds- 45 minutes [blinking]
😂
Jajajaja too good😂
Ayo
It happened to me too lol
I've always loved how you can find mini mandelbrot sets all around it 0:36
but they are ever slightly different.
it never repeats itself.- although no one has said that for certain yet
@@and_ppv Yeah, good luck finding a guy who will inspect to see if they repeat
I think you may have missed the point here...
This is how I think of the universe. Infinite zoom both in and out….
Yes! I feel like this helped me see what I’ve always believed
This is accurate.
They're actually talking about a fractal universe
at this point merely held back by the boundaries of the observable universe and the planck distance at both ends of the spectrum.
But it isn't, since it has a beginning
I have a 165HZ monitor. And I knew this from Passmark's benchmark. When it runs the Mandlebrot the effects are LSD levels of stunning
Go on....
Lovely zoom, with beautiful colors choices!
I was lucky to catch a ? *1986* show at the then NYC IBM building which had a museum showing various exhibits.
This one was Art & Computers.
Fractals, CGI rendetings were one of the highlights. There was this monitor w 3 different programs including "Zoom The Mandelbrot Set".
What was that?
So I began to zoom in. You had to adjust the iterations with one other factor bc if not enough - you wouldn't get much detail. And I realized these tiny mandlebrots would appear! They had different color choices, too.
Anyway, eventually - this was a 2ft x 2ft monitor; I spent several days there. I got down to 10 places which took about *5 mins to render* quite detailed though not as much as this. One mini-brot looked like a green shaded galaxy with lighter glittering "arms" swirling around it! It was a glorious experience.
Then the latest issue of Sciencetific America came out, and all the IBM guys came down to use it. I didn't much after that, but ai'd practically had to mysrlf for 3 days.
I love this! It’s like a journey showing off the various pattern styles existing in the Mandelbrot set, with gorgeous color choices, and best of all: silence!
There’s a part when I first saw this in math class where I saw the Buddha. It was like an outline of his meditation 🧘 pose. I tripped so hard out loud in class when I recognised it. Also it made sense it would have a connection into the realm of math and nature at the same time. I was so excited I couldn’t stop drawing it in art class and drawing Buddha next to the fractal , a side by side, I showed my math teacher and philosophy teacher both were impressed by the similarities.
Yeah just turn it to the side and it’s a buddha
Look up BuddhaBrot!
Is there a time stamp? I can’t find it.
@@amc350already at the first second of the video
its true, i was buddha
Salve a tutti.
Sono pensionato da poco e mi sto divertendo a generare le immagini del mandelbrot classico.
Ho notato 3 cose in questo video:
1- la profondità dello zoom mi pare vada oltre la risoluzione delle 15..16 cifre
del double-floating point, è una mia sensazione.
Per quel che ho sperimentato fin ora,
ho visto che piu si scende in profondità ,
più cifre e più iterazioni sono necessarie,
e di conseguenza piu tempo di calcolo.
Questo mi fà pensare che il video così fluido (e bellissimo!)
sia stato fatto con una sequenza di immagini,
che va benissimo, intendiamoci.
2- la sfumatura delle zone limitrofe.
Utilizzando semplicemente solo il valore di escape-point per definire un colore,
si ottengono delle zone delimitate,
per sfumarle ho trovato un video che fa vedere come fare
tenendo conto del logaritmo della distanza in eccesso al raggio limite.
3- quello che non ho ancora trovato come fare
(che vedo qui al minuto 0:50 , e che ho visto in qualche rara immagine):
sono i ghirigori nella zona intermedia.
Chissà se lo scoprirò prima di tornare a casa nel modo dei più :)
Ok.
In ogni caso un grazie di cuore.
Ciao :)
Arturo.
ho scaricato un' applicazione che ti fa mettere a fuoco molto bene l'insieme di Mandelbrot, ma non va così in profondità, come devo fare?
Beautifully rendered. Lovely colors and nice slow glide in.... 🙂
0:12 this place actually has a name: Seahorse Valley
I can’t tell if this is a joke or not
It is the most beautiful thing I have ever seen in my life
I think I just hallucinated and Im completely sober
This is really trippy.😵💫
Are you slightly shifting the center interactively? Is there a mathematical way to choose a point that will always have activity?
Zoom out from a point, then reverse the video
@@user-bf5sc8pn8x more likely he zoomed in by hand to a point, and then made his software zoom back in to that exact point
@@thederpling209 I am currently working on my own fractal zoom engine using perturbation theory and due to my research I can assure you, that that is indeed how such software works.
@@timerertim pog champ
i noticed at the end of the video, for me, it looks like it starts to zoom back out a little. but that actually just a neat optical illusion.
Oh danke! Ich hatte tatsächlich ein wenig an mir gezweifelt! 🤣😂
i love your pfp
Great zoom! Could you, please, give the initial central point z0=x0+i y0? Thanks!
I'm just wondering out of curiosity, how long did this take to generate the fractal and then render this video? And computer specs would be appreciate for context since a higher end computer could do it much faster. I'm just curious as to the amount of processing power required to generate a video like this. And also what program you used to generate these fractals, since different different programs will probably generate them with varying degrees of efficiency. And finally, thanks for taking the time to make and share this. Cheers, and all the best! =)
well on my laptop (with rtx 3050) it takes a few ms to render a single 2k image
multiply that by 6300 frames is about 20 seconds
factor in that better gpus exist yourself
the thing with zooming is floating point precision, so you have to use some kind of special numbers that can do extremely high precision for it to be able to zoom
attempted this on compute shader in unity, after zooming for a while it reached float' maximum precision
@@trinityy-7 6300 seconds is only what? 5.5 minutes just off the top of my head. Most of these videos are a lot longer. Though I can't recall how long this one specifically was. Of course, that number can always be scaled up, assuming it scales linearly. Thanks for the sort of benchmark to go on. No pun intended.
@@molor0824 I'm vaguely familiar with CS, so I understand what a floating precision number is, but I know it's remiss to assume prior knowledge when explaining things like this.
I'm not too intimately familiar with computer programming concepts though so this information was useful. You provided me some terms I can look up in more detail, like how unity handle shaders. I know the words, but not how they work.
Thanks for the response!
@@VoidHalo you are way off, 6300 seconds is 1hr 45min. and also i was saying 6300 frames
this is one of the ways they write the software which helps to make things fly through space now, and most notably, in the future....
Now *this* is technically the world's largest drawing
Infinity and beyond............
想象一下几千年后的人类在宇宙中发现宇宙结构是这样子的，而且永远没有尽头
Deus é realmente o maior, eu repito, O MAIOR Gênio que já existiu. Veja essas formas infinitamente se transformando e com padrões diferentes. É maravilhoso.
This is what my mind generated on my first acid trip as i closed my eyes during the trip - I wasn`t even aware of fractals before the intake....
Would it be fair to describe this as the perfect balance of chaos and order?
Only if your description repeats itself non-dually
As a mathematician, I would require some measure of quality to define "perfection"
@@Wurfenkopf Perfection; A lack of flaws
Enough chaos creates order, that's chaos theory, all random sequences eventually form patterns
Understandable question, but I don't see any chaos in this system at all. To my mind, this could be considered an illustration of "perfect" order.
(and I agree with other comments here that "perfection" may well be impossible to define... as well as the word "flawed")
As I see and understand the Mandlebrot Set, there is nothing random about it. It is thoroughly replicable, down to the last (sic) detail. and is defined specifically by a particular mathematical formula that regenerates the exact same results every time. So, no chaos here, although there is certainly plenty of amazement and beauty... :-)
The only video on RUclips feels like it is 3D, but actually 2D.
Everything I look at starts shrinking after watching this
Thisy is so beautiful 🥰
1:16 Is my favorite part
This describes the entire universe we live in.
Maybe this is the answer to the creator, the universe and everything
Deputy Barney Fife's landlady's name was: Mrs. Mendelbright. : )
Now my eyes are bleeding, Thanks...!
So this is what infinity looks like...
I still don't understand the Mandelbrot set. I just understand this beautiful zoom
Please tell me how you coloured the images so perfectly.
it was a program
Of course it was a program. If you wrote it yourself, how did you select the colours?
From my understanding the colour is a representation of stability.
numberphile does explain it quite well: ruclips.net/video/FFftmWSzgmk/видео.html
Thank you for that. When I program the Mandelbrot set I colour using the number of iterations required before it becomes unstable. However, I don’t get the colour differences in distinct areas like he does. One area might be mostly brown tones whereas another area nearby might be mostly blue tones. When I do it, both these areas are coloured similarly. I just wondered if the programmer had another trick up his sleeve.
@@colinfraser1309 my guess is that slight differences in the stability spectrum became more exaggerated in this animation so you get more varying colour schemes, but that's surely not the only trick in place here.
Gods thumbprint
Complex as the human body
Lol no
Astounding!!!
okay after staring at the video for its full length, when I scrolled down to the comments the comments seemed to be zooming out
El hecho de que este video esta en un libro oficial de la SEP en México, pagina 14 Multiples Lenguajes.
Exactamente el de sexto grado
Deeper!
Not sure if you will like what you'll find down there. Drums, drums in the deep.
That’s what she said
No matter how deep you go, there is always another level.
This is the universe
Meraviglioso , la matematica sacra si esprime in progressione nella forma e nei colori più armoniosi manifestando amore e intelligenza in un tunnel di vita e verità 💖✝️🕎💟💖
la matematica non è un oggetto sacro
Beautiful
Amazing 🤩.
thats one badass fuckin fractal!
The definition of our universe in a nutshell.
confound it mandlebrot youve done it
It's truly astounding for one to watch this and still deny the existence of an all-powerful God.
Wait a minute -- this is pure math. Maybe a sunset, or a starry night could make me reverent, but not a quadratic equation. Does an all-powerful god have the power to make 3 an even number?
@@andrewzboard ruclips.net/video/kEyPWJVYp84/видео.html
What the hell does a quadratic equation have to do with a god? Mathematics has nothing to do with a deity.
@@slobbymonk ruclips.net/video/kEyPWJVYp84/видео.html
@@slobbymonk god wrote maths back in -031b.c. bro
get smarter
chill af
There should be a number that represents the square footage of this image wrt the original frame. Sq. Miles maybe.
proof that the cameraman is god
I wanna see what happens when you fall in the black void whatever that dark thing was
nothing
Alguien más lo saco del libro?
Yo
@@BriannaKareliOrozcoRíos-m3cdel libro múltiples lenguajes cierto?
are you trying to tell me that that image is in there?
nice hypno session ty
I just came for the task
This is how I would describe God.
Literal estoy viendo este video por qué venía en mi libro de lenguajes xd
omg I saw it in my multiple language book
Oh f***, this is so trippy!
If only my mind was complex as this
one must imagine sisyphus happy
This looks kinda creepy
The same sequence as in Wikipedia! :-)
John 3:16
For God so loved the world, that he gave his onlvy begotten Son, that whosoever believeth in him should not perish, but have everlasting life
amen!
We Arent That Small!
Me:
Never watch this while drunk
Perfec 🎉
all these smart math people in the comments, and then there's me like:
shApEs And cOlOUrs thE lIkEs Of whIch I'vE nEvEr sEEn
"Are we there yet?"
"Domain expansion, mandelbrot set"
Like si vienes del libro de 6 grado 🤔
Yo:😮
Lets us rebuilt this universe the way it used to be
Buddhism is a deen, a way of life. Namo Buddhaya
Watch. When you’re done, whatever you’re looking at appears to slowly shrink.
1 question,
What's a mandelbrot?
A mandelbrot is a potentially infinite zoom about 10^2 million light years
Almond bread
Praised be the lord
This is how close we can get to understand how the universe might be, just infinite in various of ways but all connected
can i ask you how to do this by matlab??
if you look at the center for the whole video and then look away your vision does trippy stuff
Subhan Allah
Chale esto es para mí escuela. :(
The camera man:😎
So it is infinity
Fractal!
Life is a fractal.
Life is a fractal.
Life is a fractal.
@@aliasofanalias7448 Life is a fractal.
Life is a fractal.
Life is a fractal.
Quien más bienes del libro de la separación jajajajaja
Thes reminds me of nathan's 1024 billion bits
if mandelbrot is infinite, so, somewhere it playied bad apple, and right after bad apple it playied lorax.
Is it just me or is this the thing i see when i close my eyes and press them tightly
I don’t believe in gods of any kind but this is damn close to what I think the gods would be like
1:09 Welcome to Julia Island!
Did You Know If The Smallest Bit Of The Zoom Was The Size Of The Human The Entire Fractal Would Be Bigger Than The Universe?
You stopped it too soon. If you carry the numbers on far enough you see gods final message to his people...
.
.
.
.
It's Rick Astley performing Never Gonna Give You Up
Hebrews 13:5 (Amplified Version)
Ever taken drugs?
Imgn what if, what if, what if, ifwe, what if...
Ever played chess?
Me lo encargaron de tarea
Comment section is like going out
Que hermiso❤