This video has been re-rendered at 8k 60fps!! ua-cam.com/video/X-_LkF9V8AM/v-deo.html It looks smoother even at lower resolutions. It includes a new music selection. And, it also goes a little further, dropping into a mini-Mandelbrot.
Hi "Simulation Earth". Yes, you can monetise the creative commons videos. You just need to provide the appropriate credit/links (inc for the music if applicable). If the licence doesn't suit you, or you want to use one of my non CC videos, then you should check out my Patreon page. Basically, you can download and use any video for $3 (but not the audio, as I don't own it). Let me know if you use some of my fractals, because I will add your video to my playlist of creators videos.
I'm not a math person but I came here--and to other Mandelbrot videos--from a philosophy book I'm reading "How The World Can Be The Way It Is" by Steve Hagen. All I have to say about this video is Woooooow. Really cool stuff. Thank you for this.
For people asking if the Mandelbrot set is real or generated, it's real in the same sense that a galaxy is real. You can view a galaxy through a telescope. If you keep zooming in, you are just discovering new characteristics about the Galaxy that were already there. It's not like you are creating that as you zoom. It was already there.
Only conceptually, if you equate these relatively simple mathematical "rules" to the deterministic nature of our universe. It would be like planting an acorn and saying the adult oak tree exists, because the acorn's DNA holds the pattern or rules required to generate it.
That's not a great description, because the galaxies et cetera are *literally* real-- they are matter in our universe. All the various and beautiful mathematical objects in our universe are perhaps more like the chunks of Minecraft worlds-- only made when we look for them.
MCtech ... watching enlarged Mandelbrot fractals for a while I dont expect any scary figures with crazy C5 symmetry axis or the like, but the face of Mickey Mouse ... and then ... after a while ... a photograph of Walt Disney drawing exactly this Mickey Mouse cartoon
Hoonatic Bloggs No, Mandelbrot fractals are not infinitely large, and also speaking about the size of the universe, it is being theoretically estimated to be minimally 500 times larger than our observable universe. Yet, the measurement of the curvature of our observable universe is very close to being flat (0 curvature), so it is possible that our universe is infinitely large.
This is God. A fractal is everywhere, we are in it, God is everywhere, we are in him. A fractal is eternal, God is eternal. A fractal is beautiful, God is beautiful. Fractals are seen In a lot of things in our earth, Like ferns.
It's gorgeous. And the thing is, if he'd gone in at another point at the start, the flavor of the patterns would be have been all different in the details but just as endlessly varied. As someone whose brain sort of 'tickles' when looking at rich patterns and textures, really beautifully colored Mandelbrot zooms like this are almost too much to take. I used to play around with the set, but this was in the days before hugely powerful GPUs, and each frame at this resolution would have probably taken an hour to render or more. Now you can probably do 15K pixels at once on a fairly reasonable PC with a few CUDA boards in it.
"Today, a young man on acid realized that all matter is merely energy condensed to a slow vibration. That we are all one consciousness experiencing itself subjectively. There is no such thing as death, life is only a dream and we're the imagination of ourselves" . . . "Here's Tom with the weather"
Watching this makes me think of the choices we have in life and the endless possibilities. Every time it would randomly zoom on a spot I didn’t expect, it’s like a life story of someone. When I was 30 I had a kid, it zoomed left. What if I married someone else? Zooms left. Took that job out of state? Zooms right...
Hi all!, After several requests, I have decided to re-licence this video under the "Creative Commons Attribution Licence" which should allow you to use this video for all your own projects, and simply provide a credit. (Click the licence link in the video description for more info). Please be sure to comment or message if you do use the video so I can check it out.
I got the same effect look up an optical illusion video and you'll see something a lot like this it's just that's probably not going to be as colorful and probably less beautiful
I have ADHD and need something constantly going on in front of me to go to sleep, which as you can imagine is very difficult to manage. I often need to be watching/listening to a video while playing solitare or something of the sort to get tired, but this combination of math, art, music and brainless while captivating energy is the best sleep inducer I've found yet. Thank you.
10^219 - this is fucking much!!! The size of the observable universe is 9*10^26 meters and the Planck length, 1.6*10^-35 meter. This means that, if you zoom from the universe in, you'll reach the atom, the quarks, the strings and it's not even half way the amount of zoom you see in this video!!! For example, if the Mandelbrot set you see in 0:03 were the universe and you start zooming in, you would reach the strings and Planck constant at about 3:30 and then you simply cannot go further, according to the physics of today. This shows how powerful is our imagination and how far can we go with mathematics… Calculating: 10^27/10^-35 = 10^62. From 0:04 to 12:12 - zoom approx. logarithmic, so 728 seconds. 62/219 = 0,2831. So 0,2831*728 = 206 seconds, so from 0:04 to 3:30 you go from the size of the universe to the planck length. And the meter would be reached at about 1:34.
+Maths Town - Yeah, that gives us a feeling of infinity, but you still reached 0% of it! ;-) But the William Tell overture may reach some infinities. xD Great choice, love this piece of music!
I started playing with fractals back in 1987 I think. It was with an MS-DOS programme written for the IBM compatible (nice term) 386 computer ( not sure if it needed a math co-processor) The math coprocessor came built in with the the 486. The program named "Fractint" - for Fractals generated by Integer maths. Written as freeware by the Stone Soup Group. After 30 years - fractals still amaze me.
the 486sx didn't have a math coprocessor actuated (that's why it was cheaper) it was actually the same chip as the 486dx, but they burned out the links to the coprocessor
So basically what you're saying is that the tech industry has been corrupt at least since 1987. Really wish they'd stop screwing everyone over, we have enough junk on the planet as it is. No need to design light bulbs that only last for 6 months when we know they can do much better, damn criminals.
amazing rendering !!! nice job!!! I love the quality of the rendering after 9 years navigationg mandelbrot i think a found a way to fing more and more different complexity and avoid to much spiriling, here is one of these paths. It would be great if you like it and render it. My pc can't render this much (fraktaler parameters) REAL : -0.0455437343361049229977535739533629879525495302929779652662921127974595897922310335783873243419284650861538933601078214819135553724837706322200888596153672678222 IMG : -0.98663900889419886451505862090981816382007921463297079573695975720896019612526843582192105718440593563914049182936636586896719369685303055015634464874013768590825 ZOOM : 7.44282853678E137 MIN : 69336 MAX : 139901
Done. A great location! If you have any more suggestions, then please let me know, and I will render them. Video here: ua-cam.com/video/7ayvIoqpfmY/v-deo.html
This is such a treat. Beautiful rendering and a nice choice of palette, and a nice place to zoom into. I used to render such zoom anims 20-30 years ago using Fractint and rendering an image in 1hour-1day, yet not even reaching 1/10th of the depth of this zoom.
My first Mandelbrot anim was in GFA Basic on Atari ST and by todays standards the speed would be beyond pathetic. Then a few years later Fractint broke everything with their bigint assembly stuff (combined with my own git-to-avi generator because I had nothing else back then). A JS routine in Chrome would still just beat it hilariously. What do they do these days, GPU and opencl? I should look up the algorithms used these days, although that Kalles Fraktaler that you dropped in the description sounds like a perfect time sink... Good times.
This is maybe the best fractal video I have seen, the colors are beautiful and the zoom too. I have seen many video's most are boring but this video has more variaty, maybe the best I have seen.
Stunning. High quality visuals, high quality audio - and music! Also congrats on the color palette. Everything from in-yer-face, to subtle! Many thanks!
I noticed the video was playing at 720p I went fullscreen and switched it to 4k 60fps just for kicks. It took some time to buffer but when the switch happened it was like jumping from banging rocks together to understanding string theory and i physically jumped back in my chair. Made the switch at 4:08 The trumpets didn't help
I just had an existential crisis but a good one and it was really needed. I am calm and at peace now knowing we are just a small part to much bigger machine, called God. ❤
It is really beautiful, I love the structure it follows and the colors, but it could have kept going for a lot before it returned to the prime iteration! There are lots of animations on UA-cam, all different, and all at some point end up with the iteration of the first image of the fractal itself, from which you could start again. Too bad it didn't get to that point, but that's because this structure evolves very slowly. I don't know if you got the logic of my comment, if you don't go see more videos..
Actually, Ive just re rendered this video in 8k, and it finishes on the final mini-brot. It will be the next video released. All our other videos finish on a minibrot.
Each point is either inside or outside the Mandelbrot set. Points inside the Mandelbrot set are simply coloured black. Points outside the Mandelbrot set are indexed according to how many iterations it takes the software to detect that a point is in fact outside the Mandelbrot set. These values are smoothed to avoid banding. The index value is then used to do a table lookup on a colour table. As you will notice these table values are generally repeated as the iterations get higher. In this case, Dinkydau provided the sample file to KF gallery, I did not change is colour choices. I hope that answers your question.
Yes, thank you. I was curious if there was a methodology to it regarding the actual mathematics or computing, or if it was simply artistic license being used. So I guess however the color table is set up determines which colors are available and it would change them, but not how they are arranged or how they repeat right?
That's exactly correct. The colour scheme can be changed. The Mandelbrot Set is an infinitely detailed mathematical object, so the layout of the shapes does not change. The same film could be generated with a different colour scheme by using the coordinates listed above. The Mandelbrot Set is a simple formula, that is quite easy to render with simple computer code. However, it gets very computationally expensive to zoom deep like this film, so the software has some quite complex optimisations. I hope to make some videos explaining it in detail in the future.
Whoa that was freaky, stared at this for a couple of minutes, then stared into my room and the movement of the video was applied to my center vision. Tripppppppppyyyyyyyyyy
Very trippy. After watching the whole video everything you look at moves away from you for several minutes, just like in real life when everyone I talk to walks away from me!
LuizBHMG, terrific post! It's not that the physics of today is in some way insufficient. The physics of today claims it is impossible to zoom further. The universe can not hold that much detail! Also, this is not like a kaleidescope, which creates new images over time. Rather this is real zooming in on a static mathematically defined "object" to see increasingly more detail. I think one could correctly say that the Mandelbrot image has literally infinite detail. One can zoom in on any part without limit at no point does detail completely stop. Thus, say one zooms in at least 90 times or more and gives a single pixel of the resulting image some real size, say Planck's constant, the smallest distance of anything according to Quantum physics. Then, as one zooms back out, the size of each pixel corresponds to larger and larger distances. After 90 zooms, the size of each pixel becomes far, far larger than the currently size of the known universe!
LuizBHMG puts it well. "Only" 62 orders of magnitude for size in the known universe. The amount of iterations to compute screenfuls at high zoom is quite high. Fortunately, compute power has also grown exponentially is speed and thrift. My question is this - What kind of mind does Mandelbrot himself have to have realized that a simple 12 character equation (okay with complex numbers) has such readily accessible infinite complexity! Also, my good friends, to see how "merely" 46 such zooms span the familiar known universe, look up the classic "Powers of 10" by Earnes in UA-cam. Always enjoyable!
I was in grad school when Mandelbrot's book Fractal Geometry of Nature first came out, the graphics shown here were unimaginable back then, Mandelbrot actually printed some of his plots using ascii graphics, if anyone even knows what that is anymore.
I truly believe that this is what God created. Beauty in the atom of every being, living, dead, alive machine, all of it this can be found in the fraction of each of the atoms that make us, the phone or tv we use, the computer used to render this... i find it absurd for someone to say something like this, found I'm the center of every bit of everything in the entire universe was random chance. No offence to anyone but this is how I feel.
I'm glad you enjoyed it! No it can't really be attributed to only one person, but it's named after Mandelbrot who was the first person to use a computer to create it. It's a mathematical object that has always existed and always will, it just took us time to discover it. But, there are some programmers who have done some amazing work, so deep zooms like this can be calculated in under 24 hours.
A weirdly accurate representation of what it feels like to be in a diabetic coma. Jarring, sickening, and dizzying, but at least you’re seeing the edge of infinity
If you want to watch 4k, but your computer/internet is too slow, you can always set the speed to 0.5x or 0.25x and it will give your computer more time to display the video without stutter. It's not like there isn't enough to look at anyway ;)
Nice one. Thanks. Why are all the comments old. Aren't people watching this every day . Question if you don't mind. Using the program that generated the video can you tell how many times you zoomed in? And or can you know what area of the complex plane is on the screen at any one time? Like if you pause the video and ask what are the coordinates here in the center or what is the range showing in the whole picture?
![Infinite Relaxation [Part 1] - A Mandelbrot Fractal Zoom (3e3284)](http://i.ytimg.com/vi/6ouG6L-2L3Q/mqdefault.jpg)
![Infinite Relaxation [Part 1] - A Mandelbrot Fractal Zoom (3e3284)](/img/tr.png)
This video has been re-rendered at 8k 60fps!! ua-cam.com/video/X-_LkF9V8AM/v-deo.html It looks smoother even at lower resolutions. It includes a new music selection. And, it also goes a little further, dropping into a mini-Mandelbrot.
Hi "Simulation Earth". Yes, you can monetise the creative commons videos. You just need to provide the appropriate credit/links (inc for the music if applicable). If the licence doesn't suit you, or you want to use one of my non CC videos, then you should check out my Patreon page. Basically, you can download and use any video for $3 (but not the audio, as I don't own it). Let me know if you use some of my fractals, because I will add your video to my playlist of creators videos.
Maths Town this kind of picture is good for our mind power awakening . Thanks and continue
Lmao my processor doesn't like this haha
What is the highest resolution you can render to?
I'm not a math person but I came here--and to other Mandelbrot videos--from a philosophy book I'm reading "How The World Can Be The Way It Is" by Steve Hagen. All I have to say about this video is Woooooow. Really cool stuff. Thank you for this.
For people asking if the Mandelbrot set is real or generated, it's real in the same sense that a galaxy is real. You can view a galaxy through a telescope. If you keep zooming in, you are just discovering new characteristics about the Galaxy that were already there. It's not like you are creating that as you zoom. It was already there.
DeluviumOfficial, Thanks for clarifying!
I don’t believe you.
@@phatcrayonz why is that
Only conceptually, if you equate these relatively simple mathematical "rules" to the deterministic nature of our universe. It would be like planting an acorn and saying the adult oak tree exists, because the acorn's DNA holds the pattern or rules required to generate it.
That's not a great description, because the galaxies et cetera are *literally* real-- they are matter in our universe. All the various and beautiful mathematical objects in our universe are perhaps more like the chunks of Minecraft worlds-- only made when we look for them.
I don't know why but when I think about this deeper, it gets scary for some reason.
MCtech ... watching enlarged Mandelbrot fractals for a while I dont expect any scary figures with crazy C5 symmetry axis or the like, but the face of Mickey Mouse ... and then ... after a while ... a photograph of Walt Disney drawing exactly this Mickey Mouse cartoon
Infinity thats how it look
Scary? I find it amusingly fascinating. Like peering into the void.
It’s what happens in the universe, infinitely small yet infinitely large, and proved by mathematics.
Hoonatic Bloggs No, Mandelbrot fractals are not infinitely large, and also speaking about the size of the universe, it is being theoretically estimated to be minimally 500 times larger than our observable universe. Yet, the measurement of the curvature of our observable universe is very close to being flat (0 curvature), so it is possible that our universe is infinitely large.
This is one of the most beautiful things i have seen in my entire life.
the thumbprint of God!
Because we are it, it is us, in a sense!!!
Watch someone do this in 3d. vimeo.com/juliushorsthuis
@@maryjohammons8905 exactly! !!!!!!
Also I'm only 0:32:in but this pattern I've never seen and it is amazing
This is God. A fractal is everywhere, we are in it, God is everywhere, we are in him. A fractal is eternal, God is eternal. A fractal is beautiful, God is beautiful. Fractals are seen In a lot of things in our earth, Like ferns.
Possibly the best zoom I have seen in 30 years of observation
It's gorgeous. And the thing is, if he'd gone in at another point at the start, the flavor of the patterns would be have been all different in the details but just as endlessly varied.
As someone whose brain sort of 'tickles' when looking at rich patterns and textures, really beautifully colored Mandelbrot zooms like this are almost too much to take.
I used to play around with the set, but this was in the days before hugely powerful GPUs, and each frame at this resolution would have probably taken an hour to render or more. Now you can probably do 15K pixels at once on a fairly reasonable PC with a few CUDA boards in it.
that is a very good observation from another observer that agrees to you conclusion.
Call me MR zoomvastic elastic and static trickling to ears eyes tears mood
Best come(n)t ever.
I agree.
I bet at the end of the Mandelbrot Set you'll find Waldo.
Aaayyyy you like pokemon mystery dungeon explorers of sky?
Too bad there is no end...
there still is an end it just takes a infinite amount of time to get to
Waldo cannot be found in the Mandelbrot Set. It would take an infinite amount of time.
Orion D. Hunter That would also take an infinite amount of time.
"Today, a young man on acid realized that all matter is merely energy condensed to a slow vibration. That we are all one consciousness experiencing itself subjectively. There is no such thing as death, life is only a dream and we're the imagination of ourselves" . . . "Here's Tom with the weather"
Raptorman0909 lol...Thank's, Tom has something to ponder now!🤔🙄😯
Classic Bill Hicks!
but yet we die and then the person u are doesnst exist anymore... :( rip me
@@thedonger6299 right alongside you on this depressing ride friend. At least you aren't alone :) try and enjoy what you can, while you can.
We love you, Bill, brother. Thank you for all the wisdom.
Watching this makes me think of the choices we have in life and the endless possibilities. Every time it would randomly zoom on a spot I didn’t expect, it’s like a life story of someone. When I was 30 I had a kid, it zoomed left. What if I married someone else? Zooms left. Took that job out of state? Zooms right...
Ive had that line of thought many times
normal people: "woooooooah"
me: *"but i wanted to go **_that_** way!"*
omg sooooo true
Exactly
Same
Hi all!, After several requests, I have decided to re-licence this video under the "Creative Commons Attribution Licence" which should allow you to use this video for all your own projects, and simply provide a credit. (Click the licence link in the video description for more info). Please be sure to comment or message if you do use the video so I can check it out.
Maths Town you are a good global citizen
Thanks, real generosity
Thank You ❤
After watching this I had intense optical illusions, like everything was moving away from me. Crazy!
Why?
same here. like a boiling effect u get from those vids where u stare at the center of a moving spiral for a while
I got the same effect look up an optical illusion video and you'll see something a lot like this it's just that's probably not going to be as colorful and probably less beautiful
It's a form of vertigo, or motion sickness, I felt it to...
It’s an effect caused by the color receptors in your eyes getting over stimulated and tired
I have ADHD and need something constantly going on in front of me to go to sleep, which as you can imagine is very difficult to manage. I often need to be watching/listening to a video while playing solitare or something of the sort to get tired, but this combination of math, art, music and brainless while captivating energy is the best sleep inducer I've found yet. Thank you.
Mind boggling masterpiece. Thank You. After seeing this how can anybody ever say math is boring?
Gage Blackwood it just taught boring, not teachers fault it's the syllabus and stupid red tape!
Hit the nail on the head there. Hopefully someday the US will give a shit again about education.
Gage Blackwood.....Yes!! Positively mond boggling!!
Watching this makes me want to cry. It's so beautiful.
10^219 - this is fucking much!!! The size of the observable universe is 9*10^26 meters and the Planck length, 1.6*10^-35 meter. This means that, if you zoom from the universe in, you'll reach the atom, the quarks, the strings and it's not even half way the amount of zoom you see in this video!!! For example, if the Mandelbrot set you see in 0:03 were the universe and you start zooming in, you would reach the strings and Planck constant at about 3:30 and then you simply cannot go further, according to the physics of today. This shows how powerful is our imagination and how far can we go with mathematics…
Calculating: 10^27/10^-35 = 10^62. From 0:04 to 12:12 - zoom approx. logarithmic, so 728 seconds. 62/219 = 0,2831. So 0,2831*728 = 206 seconds, so from 0:04 to 3:30 you go from the size of the universe to the planck length. And the meter would be reached at about 1:34.
LuizBHMG Would this change if 10^0 (zero reference point) was down at the Planck length? Hope I'm asking this right. 🙂
When you explain it like that, it's quite amazing!! The amazing thing is that you can just keep zooming and zooming, there is always more!
Maths Town Viva Infinitas!
+Orcinus Orca - what do you consider being the zero reference point? And what exactly would change? I'm afraid I don't understand what you mean…
+Maths Town - Yeah, that gives us a feeling of infinity, but you still reached 0% of it! ;-) But the William Tell overture may reach some infinities. xD Great choice, love this piece of music!
This may be my favorite fractal video on UA-cam. The music choice is excellent and the colors are beautiful!
This is a masterpiece. The music compliments the zoom so well! Explains life in a way. It's art dammit! Haha one love to all
I started playing with fractals back in 1987 I think.
It was with an MS-DOS programme written for the IBM compatible (nice term) 386 computer ( not sure if it needed a math co-processor) The math coprocessor came built in with the the 486.
The program named "Fractint" - for Fractals generated by Integer maths. Written as freeware by the Stone Soup Group.
After 30 years - fractals still amaze me.
Wow, my old 486SX used to struggle to play a MP3 file. Although I had a Photoshop plugin that did some fractal rendering with nice results.
the 486sx didn't have a math coprocessor actuated (that's why it was cheaper) it was actually the same chip as the 486dx, but they burned out the links to the coprocessor
So basically what you're saying is that the tech industry has been corrupt at least since 1987. Really wish they'd stop screwing everyone over, we have enough junk on the planet as it is. No need to design light bulbs that only last for 6 months when we know they can do much better, damn criminals.
"The inner machinations of my mind are an enigma."
- Patrick Star
amazing rendering !!! nice job!!! I love the quality of the rendering
after 9 years navigationg mandelbrot i think a found a way to fing more and more different complexity and avoid to much spiriling, here is one of these paths. It would be great if you like it and render it. My pc can't render this much
(fraktaler parameters)
REAL : -0.0455437343361049229977535739533629879525495302929779652662921127974595897922310335783873243419284650861538933601078214819135553724837706322200888596153672678222
IMG : -0.98663900889419886451505862090981816382007921463297079573695975720896019612526843582192105718440593563914049182936636586896719369685303055015634464874013768590825
ZOOM : 7.44282853678E137
MIN : 69336
MAX : 139901
Thanks for the comment. I'll try and render it soon.
Done. A great location! If you have any more suggestions, then please let me know, and I will render them. Video here: ua-cam.com/video/7ayvIoqpfmY/v-deo.html
Maths Town
could be bothered to write all those digits but imaginary was just too much eh
As requested. This video is now available in reverse! Try zooming out: ua-cam.com/video/HMWaN90EEz0/v-deo.html
This's isx hip notice me
Maths Town 1. Very setisfying
Took me a second to realize that at the end, when it stopped, it was actually a still frame instead of morphing around.
Same!
1:24
I think I'm gonna cry beautiful doesn't begin to explain this. Try looking into each spiral
Try to see each color
This is such a treat. Beautiful rendering and a nice choice of palette, and a nice place to zoom into. I used to render such zoom anims 20-30 years ago using Fractint and rendering an image in 1hour-1day, yet not even reaching 1/10th of the depth of this zoom.
Thankfully zooming is much faster now due to algorithm breakthroughs (not just computer speed).
My first Mandelbrot anim was in GFA Basic on Atari ST and by todays standards the speed would be beyond pathetic. Then a few years later Fractint broke everything with their bigint assembly stuff (combined with my own git-to-avi generator because I had nothing else back then). A JS routine in Chrome would still just beat it hilariously. What do they do these days, GPU and opencl? I should look up the algorithms used these days, although that Kalles Fraktaler that you dropped in the description sounds like a perfect time sink... Good times.
that was absolutely beautiful, the colours & paterns where superb. a wonderful demonstration of the infinite beauty of fractuals!
This is maybe the best fractal video I have seen, the colors are beautiful and the zoom too. I have seen many video's most are boring but this video has more variaty, maybe the best I have seen.
And all this is a conform transformation of the disk !!
Surely the best footage of the Mandelbrot set I've ever seen !!
It melted my brain after a few minutes. My vision was all distorted for about 30 seconds..
Stunning. High quality visuals, high quality audio - and music! Also congrats on the color palette. Everything from in-yer-face, to subtle!
Many thanks!
Thank-you for the very kind message. I'm glad that you enjoyed it!
Gorgeous. The absolute best. Color and design ever
Love these!
Magnifique. ça semble ne jamais vouloir s'arrêter et quand enfin ça s'arrête j'ai eu peur que ça reparte dans l'autre sens...
I noticed the video was playing at 720p
I went fullscreen and switched it to 4k 60fps just for kicks.
It took some time to buffer but when the switch happened it was like jumping from banging rocks together to understanding string theory and i physically jumped back in my chair.
Made the switch at 4:08
The trumpets didn't help
I just had an existential crisis but a good one and it was really needed. I am calm and at peace now knowing we are just a small part to much bigger machine, called God. ❤
The artistic beauty and perfection of mathematics
These videos take up my time. Once they start, it is a challenge to avert my eyes. So addicting.
i dont really like math but........this is crazy
This one is dope it makes me think in nature the colors would do more of an accelerated cloud dance with each other maybe even have feelings
It is really beautiful, I love the structure it follows and the colors, but it could have kept going for a lot before it returned to the prime iteration! There are lots of animations on UA-cam, all different, and all at some point end up with the iteration of the first image of the fractal itself, from which you could start again. Too bad it didn't get to that point, but that's because this structure evolves very slowly. I don't know if you got the logic of my comment, if you don't go see more videos..
Actually, Ive just re rendered this video in 8k, and it finishes on the final mini-brot. It will be the next video released. All our other videos finish on a minibrot.
Me at 11pm: one more video
Me at 3 am: This beauty
A legend was born.
How are the colors determined?
Each point is either inside or outside the Mandelbrot set. Points inside the Mandelbrot set are simply coloured black. Points outside the Mandelbrot set are indexed according to how many iterations it takes the software to detect that a point is in fact outside the Mandelbrot set. These values are smoothed to avoid banding. The index value is then used to do a table lookup on a colour table. As you will notice these table values are generally repeated as the iterations get higher. In this case, Dinkydau provided the sample file to KF gallery, I did not change is colour choices. I hope that answers your question.
Yes, thank you. I was curious if there was a methodology to it regarding the actual mathematics or computing, or if it was simply artistic license being used. So I guess however the color table is set up determines which colors are available and it would change them, but not how they are arranged or how they repeat right?
That's exactly correct. The colour scheme can be changed. The Mandelbrot Set is an infinitely detailed mathematical object, so the layout of the shapes does not change. The same film could be generated with a different colour scheme by using the coordinates listed above. The Mandelbrot Set is a simple formula, that is quite easy to render with simple computer code. However, it gets very computationally expensive to zoom deep like this film, so the software has some quite complex optimisations. I hope to make some videos explaining it in detail in the future.
That's pretty badass.
Yes, would love to see 'that' video!!
Very nicely done zoom.
Me and a friend used to get high and we would watch stuff like this. Best time ever.
Whoa that was freaky, stared at this for a couple of minutes, then stared into my room and the movement of the video was applied to my center vision. Tripppppppppyyyyyyyyyy
Very trippy. After watching the whole video everything you look at moves away from you for several minutes, just like in real life when everyone I talk to walks away from me!
Overwhelming! Wilhelm Tell ouverture fits! Thank You for sharing!
Like death, we are always falling into the creativeness and wonder of the fractal(s), cognitive centering abode of understanding's mind. Thanks.
Beautifully mesmerizing! Thanks!
LuizBHMG, terrific post! It's not that the physics of today is in some way insufficient. The physics of today claims it is impossible to zoom further. The universe can not hold that much detail!
Also, this is not like a kaleidescope, which creates new images over time. Rather this is real zooming in on a static mathematically defined "object" to see increasingly more detail.
I think one could correctly say that the Mandelbrot image has literally infinite detail. One can zoom in on any part without limit at no point does detail completely stop.
Thus, say one zooms in at least 90 times or more and gives a single pixel of the resulting image some real size, say Planck's constant, the smallest distance of anything according to Quantum physics.
Then, as one zooms back out, the size of each pixel corresponds to larger and larger distances. After 90 zooms, the size of each pixel becomes far, far larger than the currently size of the known universe!
LuizBHMG puts it well. "Only" 62 orders of magnitude for size in the known universe. The amount of iterations to compute screenfuls at high zoom is quite high. Fortunately, compute power has also grown exponentially is speed and thrift. My question is this - What kind of mind does Mandelbrot himself have to have realized that a simple 12 character equation (okay with complex numbers) has such readily accessible infinite complexity!
Also, my good friends, to see how "merely" 46 such zooms span the familiar known universe, look up the classic "Powers of 10" by Earnes in UA-cam. Always enjoyable!
My sister liked this so much she’s doing a funny dance on the floor
GamerGavin *wins prize for most under rated comment*
Thank you
😂
A legend was born...
This was absolutely the right choice this evening. Get elevated with Rossini.
Coolest part of the Mandelbrot I’ve ever seen 2:38-2:42
Paired this up with Arvo Part fratres for the first nine minutes and fifty four seconds. Beautiful
This is evocative of a religious experience.
I was in grad school when Mandelbrot's book Fractal Geometry of Nature first came out, the graphics shown here were unimaginable back then, Mandelbrot actually printed some of his plots using ascii graphics, if anyone even knows what that is anymore.
1:39 hmmmmmmmmm....wait it’s a ..nvm
Music, Math , universe.....😵like a flower blooming...
Numbers are proof that god exists. Delicately beautiful masterpiece creation such as this.
I truly believe that this is what God created. Beauty in the atom of every being, living, dead, alive machine, all of it this can be found in the fraction of each of the atoms that make us, the phone or tv we use, the computer used to render this... i find it absurd for someone to say something like this, found I'm the center of every bit of everything in the entire universe was random chance.
No offence to anyone but this is how I feel.
Wow, that was breathtaking!
0:55 so much tide pods
What this must be......is beyond me!! Astounding!! Can something such as this be attributed to one person, and if so who?
I'm glad you enjoyed it! No it can't really be attributed to only one person, but it's named after Mandelbrot who was the first person to use a computer to create it. It's a mathematical object that has always existed and always will, it just took us time to discover it. But, there are some programmers who have done some amazing work, so deep zooms like this can be calculated in under 24 hours.
Wow! Enjoyed watching & listening. Added this to my Classical music playlist. Bravo! :D
You're welcome :D
Glad you enjoyed it! Thanks for letting me know.
This is beautiful.
Just 2 beautiful dimensions... no need for the other 9.
Simply fantastic
It’s interesting how all the shapes are familiar, there is extreme resemblance to a tentacle, leaves, honeycombs and more in this video.
Excellent video, thanks for taking the time and effort to post it, much appreciated. Have a nice and peaceful day : )
Thanks for the message. You too..
One of the best
I LOVE THIS. PERFECT MUSIC❤️ Very Well Done🙀
How did your pc not die to that?
If you stare at the center for like a minute your real start hallucinating
Lovely 👍
Вот такой должна быть архитектура, в гормонами со вселенной. Наш безупречный миру- мир.,
спасибо.
after this everything is shrinking & moving away from my eyes lol
I really liked it
Thanks for the coordinates
A weirdly accurate representation of what it feels like to be in a diabetic coma. Jarring, sickening, and dizzying, but at least you’re seeing the edge of infinity
This is the most ocular exercise I gotten since my last LSD flashback.
May I use this for my new music video?
It's an indie-pop-electro-something stuff.
This is trippy
If only this had been around in the 60s!
hahaaHahaHAAHAHAHA
Eeeexxacttlly! -Sam Elliott
Bravo!!!!!!! Applause!!!!!! Pure Genius!!!!
This is Pure Divinity. I hope that is understood!
If you want to watch 4k, but your computer/internet is too slow, you can always set the speed to 0.5x or 0.25x and it will give your computer more time to display the video without stutter. It's not like there isn't enough to look at anyway ;)
Mandelbrot is just a genius!
Beautiful!!!
Isnt the universe is just a fractal zoom?
multimang0steen thanks to God it is
It is... As Above, So Below...
No.
lol why so gladfull for that universe form excatly
No, there is a limit stated by string theory. You cant divide space infinitly.
The beauty of maths...
This Is beautiful
I'd like to know how deep this went. I (using my HP laptop can get to about 10e-64), but these images look much deeper. I am so jealous.
after watching this everything in the center of my view started zooming in.
This video isn't nearly as fascinating or impossible to comprehend as the fact that 25 people took the trouble to vote it down.
Now we will never know how many people downvote as UA-cam removed the public expression of disapproval on a video for others to see.
Nice one. Thanks. Why are all the comments old. Aren't people watching this every day . Question if you don't mind. Using the program that generated the video can you tell how many times you zoomed in? And or can you know what area of the complex plane is on the screen at any one time? Like if you pause the video and ask what are the coordinates here in the center or what is the range showing in the whole picture?
＃フラクタルズーム、＃楽曲の演奏速度最高です。＃映像と音の同期効果、フラクタルズームノンストップ映像と音の同期効果8:32秒は素晴らしいですね感動しました。尚視聴しています。コメント中です。2022年8月28日
From a single ecuation.....awesome.....
Thank you.
I watched this high as fuck after eating 3 brownies, video made me blip into different dimensions
Super pretty!