Benoit Mandelbrot: Fractals and the art of roughness

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14 жыл бұрын

www.ted.com At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.
TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes. Featured speakers have included Al Gore on climate change, Philippe Starck on design, Jill Bolte Taylor on observing her own stroke, Nicholas Negroponte on One Laptop per Child, Jane Goodall on chimpanzees, Bill Gates on malaria and mosquitoes, Pattie Maes on the "Sixth Sense" wearable tech, and "Lost" producer JJ Abrams on the allure of mystery. TED stands for Technology, Entertainment, Design, and TEDTalks cover these topics as well as science, business, development and the arts. Closed captions and translated subtitles in a variety of languages are now available on TED.com, at www.ted.com/translate. Watch a highlight reel of the Top 10 TEDTalks at www.ted.com/index.php/talks/top10

Пікірлер: 406

@silasb1293 6 жыл бұрын

He died in October of the same year :( Rest in peace, you legend.

@joenuts8548 6 жыл бұрын

Totally Not The FBI so sad 😢

@usdjxavi 4 жыл бұрын

Where are you hiding him fbi?

@irukakudjira8154 4 жыл бұрын

RIP and Huge Respect to Benoit Mandelbrot!

@elsezenianagel5577 9 жыл бұрын

He converted me from someone that couldn't do addition in my head to save my life, to a person that has come to love the beauty of mathematics, which helped me develop a greater understanding of how events in the universe are linked.

@saurabhmhase4458 6 жыл бұрын

Tell me more..

@gbail9566 3 жыл бұрын

Great complexity is simply described

@TypeTipsLeonTsao 3 жыл бұрын

It was the jackhammer at the end of the clip

@thisvagabondlife7132 Жыл бұрын

I had a great algebra teacher in college and she totally changed my view of mathematics. Even though I still suck at mathematics I stand in awe.

@vimal-cliobconsulting Жыл бұрын

Ikr.

@imwithstupid086 11 жыл бұрын

I love how he discussed everything with so much vigor, even at such an advanced age. RIP Benoit {Benoit [Benoit (Benoit B. Mandelbrot) Mandelbrot] Mandelbrot} Mandelbrot.

@Moodboard39 2 жыл бұрын

How the heck u understand what he saying lol subtitles

@probablynotsatanic66 9 жыл бұрын

What does Benoit B Mandelbrot's middle initial stand for? Benoit B Mandelbrot.

@robertj.wiltshire2264 9 жыл бұрын

Badass

@jetpaq 8 жыл бұрын

+Robert J. Wiltshire lol correct!

@chrcor6055 7 жыл бұрын

probablynotsatanic66 haha took me while to get the joke

@abm8017 6 жыл бұрын

**fractal intensifies**

@JG-mt3rp 6 жыл бұрын

Delightful!

@omerufuk 7 жыл бұрын

"Bottomless wonders spring from simple rules, which are repeated without end."

@Bolden47 3 жыл бұрын

Consistency and discipline

@ValentineBondar 2 жыл бұрын

Do what you love, love what you do

@squeegeemcgee 8 жыл бұрын

I'll be damned. The year he died. Rest in Peace.

@9GodsMusic 10 жыл бұрын

I almost cried, i was so moved by the implications of this type of mathematics that he discovered. I will not forget the other equations, but this one more than anyone, has given me great solace since, to me it explains how nature and the universe works. Pure beauty, and I will never forget the fine man that discovered it.

@scaprendering 5 жыл бұрын

He gave me a job.As a fractal artist

@v.a.i.s.a.k 4 жыл бұрын

Same here. I was wonderstruck.

@tyson31415 5 жыл бұрын

A true honor just to see him talk about this. He changed the world in so many ways that most people will never understand. The morning weather forecasts in the 80's where about 50% accurate for the next 12 hours. Depending on where you live, they're pretty much spot on for at least 3 days if not a week. His mathematical theories made this sort of thing possible.

@susanrosegale6646 3 жыл бұрын

THIS is why I love knitting and crocheting - it is hard to explain but it helps.

@axe863 11 жыл бұрын

Dr. Mandelbrot was one of the greatest mathematicians that has ever lived. "Radical quants" have built upon his work and we currently have a far more realistic model of asset price dynamics than linear stochastic diff w/ Geometric BM ==> we have nonlinear stochastic diff w/ generalized endogenous multi-fractional multi-tempered stable motion.

@DaRealFiberOptix 11 жыл бұрын

its amazing to see what a difference an active mind makes in old age

@xchurricane 5 жыл бұрын

Easily hands down my favorite mathematician, what a wonderful presentation as well.

@juubes5557 7 жыл бұрын

9:20 Is he shaking and glitching or is it just my phone?

@jacobemma7717 7 жыл бұрын

Juubes happened to me too, must be the video

@Kabitu1 7 жыл бұрын

He is becoming one with the infinite mathematics of roughness. He has achieved true fractal enlightenment, sometimes it leaks through.

@roofusonna1846 7 жыл бұрын

Break in the Matrix.

@KnakuanaRka 5 жыл бұрын

I think it’s a glitch in the recording tech.

@billytheweasel 4 жыл бұрын

Mine's fine. Drugs, in fact, ARE bad - m'kay?

@okzoomers Жыл бұрын

In this talk, given near the very end of his life and career, one thing is clear: he knew he had earned the right to self-promote. Truly one of the greats.

@madhumangaldas333 Жыл бұрын

just one letter out of place changes everyting.......... flutters by....... Who knew ? 🙄🦋

@quaveglass 6 жыл бұрын

All delivered so well off the dome. No notes. Benoit you are cherished! Thanks for all the hard work!

@derman077 14 жыл бұрын

This man changed the course of human history for the better. I feel absolutely privileged to have heard him speak. Thank you Chris for TED Talks. This conference changed my life for the better.

@afomi 8 жыл бұрын

~11:20 - The three of them had incomplete proofs. They got together, and together they had the proof. They got a big medal in mathematics for proving things I've seen without being able to prove them.

@101m4n 5 жыл бұрын

Complexity arising from simple rules. Sound familiar to anyone? Something very very deep is going on here, and we've only just scratched the surface of it.

@lusv4316 2 жыл бұрын

What’s your Snapchat/ other social media, we need to speak about this you’re completely right

@Moodboard39 2 жыл бұрын

Lol stop being so dramatic

@Moodboard39 2 жыл бұрын

No not familiar

@101m4n 2 жыл бұрын

@@Moodboard39 Speak for yourself

@Moodboard39 2 жыл бұрын

@@101m4n why you don't you stfu . Nothing deep here

@briansmobile1 14 жыл бұрын

bottomless wonders spring from simple rules... repeated without end. Simplicity is beauty. No?

@SmokeyDope 3 жыл бұрын

Are you still around? How does it feel to get a reply to a 10 year old comment?

@armanrai8563 2 жыл бұрын

@@SmokeyDope lol :)

@tonytg9099 13 жыл бұрын

Maybe words cannot describe the just how important this man is. I really hope they teach the children this stuff in schools, just for the simple reason of viewing nature as a whole.

@abhijitchaudhuri2079 4 жыл бұрын

The self similar shapes are amazing It points to the bottomless wonders of this creation Only Mathematics can able to find out the rhythm of nature. Fantastic curiosity and what a beautiful explanation.

@kynaston1474 10 жыл бұрын

Such an amazing man and so influential in my own life. Thank you Benoit Mandelbrot for bringing some order into our chaos. You are missed.

@crustyoldfart 2 жыл бұрын

A superbly intelligent man who was also gentle and in a sense child-like, in that what he probably regarded as ' play ' gave all who could understand, a key into an incredibly beautiful world. He forever linked the concept that simplicity is underlain with complexity, and if approached in the right way the complexity is beautiful. The philosopher can meaningfully extend this analogy into many fields of human endeavour.

@keplergso8369 3 жыл бұрын

JS Bach was using fractals in his music. His works are very structured, and beauty appears. Bach felt that Nature is structured.

@BinaryReader 14 жыл бұрын

incredible, this man is a genius, we are so lucky to have him speak at TED. just wonderful.

@Paganel75 14 жыл бұрын

Strangely enough, almost nobody talks anymore about another feature discovered and demonstrated by Mandelbrot, which is Mandelbrot's law, which is to Zipf's law what the Van de Waals equation is to the Mariotte's one, and that he demonstrated using the notion of information costs proposed by Shannon (storage cost vs. usage cost) and just finding which usage function would minimize communication costs. A pure stoke of genius !

@MrSlowThought 5 жыл бұрын

The cartoon at the end was the best part... I almost escaped out before I realized it was part of the show, and it was the most important bit of the show. Good seeing Mandelbrot speak, but didn't learn much. The cartoon (the old man) was the inspirational part.

@breaneainn 14 жыл бұрын

That's awesome, Benoit was an inspiration when i was a kid, his illumination of order out chaos was to me an insight on the blueprints of the universe. nice to hear him speak in the modern amphitheatre.

@nickmagrick7702 6 жыл бұрын

what a beautiful illustration of chaos (Roughness) in action in the video at the end.

@jaytea42 11 жыл бұрын

Brilliant man, thank you for your contribution Mandlebrot!

@euripideesshreds 13 жыл бұрын

I'll remember him as a modern epic pioneer. His work has deeper implications than most. I say this is the guy who came up with proof of God in nature through sheer love for math and his ability to focus upon the hidden and tease it out. For me he married Formal Science and the infinite and gave us the signature of immortality. His baroque pattern is about the most Psychedelic visual yet. How humble he seems as he delights to reveal his story. I'd love to read a detailed bio. Someday a movie?

@matrixistrue 14 жыл бұрын

THANK YOU TED FOR POSTING SOMETHING LEGITIMATE

@Jonathan-fw3pv 6 жыл бұрын

Great examples of fractals in nature and markets

@heinzorse6007 2 жыл бұрын

"please excuse me for sitting, i'm very old" what a gigachad

@stevemartin4249 Жыл бұрын

Been a fan of the mandlebrot set for a few years now, used it as a background print for my name card here in Japan. I use it as a kind of dynamic mandala, ermergence theory, or just 'what goes around, comes around'. Opened up a new world of metaphors to describe psychological phenomenon as well as the world. But from about 9:00, I couldn't help but to notice a glitch in the matrix. ;-)

@Biellopes9102 5 ай бұрын

how magnificent is to have a video like this?? From one of the greatest mathematicians to have ever lived!

@JackpotDen 13 жыл бұрын

@SSPX3 you sir/madam have won my heart.

@iammaxwelldemon 13 жыл бұрын

a wonderful lecture, from a wonderful man, with a wonderful life... thanks Benoit Mandelbrot for all your great ideas, creations and new theories of geometry...

@prwexler 10 жыл бұрын

This guy was something else. I'm just at the beginning of his book. His writings are to mathematics as Shakespeare's are to theater.

@Decimaster321 14 жыл бұрын

Haha, I was all excited for him to have some amazing and enlightening outlook on the Mandelbrot set, and he says what basically everyone says, "It's a really simple equation, and it's too complicated for me to even begin to describe it to you." Very entertaining talk :)

@yash1152 Жыл бұрын

20:46 i had seen this before - it's awesome watching again

@fxevolution1006 3 жыл бұрын

There might be so many investments out there but if profits must be considered which is actually the sole aim of every investment then I'll advice you go into stock because it has a higher profit rate than most investments out there

@stefanmccarthy6166 3 жыл бұрын

Stock trading is a very profitable trade but many people fail to understand that in any trade you must go by a certain rule for you to succeed, you must have a reliable strategy for you to make profit.

@nicolepata6511 3 жыл бұрын

Alot of people these days are beginning to realize the profits of stock trading which honestly i feel it's amazing, like you said yet again it really profitable when the right strategy and indicator is in place

@andrevalentine694 3 жыл бұрын

investment requires good experience and knowledge to carry out a good and successful trade, I have lost a lot trying to trade all by myself

@preshytradefx110 3 жыл бұрын

That is the exact reason I advise both new and old investors to trade with a professional who understands the market quite well that way maximum profit is guaranteed I myself trade with expert Nicholas James, and I always worry less about loosing out on stock because of his market diversification strategy

@jayjordan3970 3 жыл бұрын

Wish I knew this when I started investing in stocks. can you please share his contact because trading the same stocks everyone is trading over and over again isn’t getting me no where

@odidiayb429 3 жыл бұрын

Thank you for your discovery

@abhishekshah11 4 жыл бұрын

Such a profound personality.

@thierry0640 13 жыл бұрын

Pour tout ce que vous nous avez enseigné, MERCI MONSIEUR MANDELBROT.

@gbail9566 3 жыл бұрын

"You can do anything and get your career made." What a beautiful man.

@aminassadi5104 6 жыл бұрын

I really appreciate this man and talk was awesome

@drasiella Жыл бұрын

Thank you for beautuful visuals for psy trance

@DemonetisedZone Жыл бұрын

Love listening to wise ppl. Could watch for hours👍

@JulesRuis 6 жыл бұрын

For more information about fractals see: www.fractal.org

@saultube44 2 жыл бұрын

3 Months and 1 week and 1 day later, this fractal man traveled to the unknown fractal world, imaginary, as is the afterlife; left us with probably the best clue about the Universe for the progress of Humanity, since the invention of Computers

@simpleman283 2 жыл бұрын

all that, without mentioning hours minutes & seconds?

@MsBHoopingAllure 13 жыл бұрын

Thank you for posting this edifying lecture!

@mojoturbo3708 10 жыл бұрын

Simply amazing...

@JM-sx1yy 2 жыл бұрын

I’ve never seen this before. Thanks for sharing this

@frankbraker 13 жыл бұрын

@shakeyourdimsims "the concept of the length of a coastline" is what he said. One revelation provided by fractal geometry is that there is no standardized "length" of a coastline, because as you zoom in from 20 miles up, more and more detail is revealed, which continually lengthens the coastline as resolution is increased.

@shantiajones8881 4 жыл бұрын

That Liberty Mutual commercial at the end was the best example ever!!!

@davidmakin6984 10 жыл бұрын

Interesting that he mentions the cauliflower/broccoli fractal. Ever since the original Mandelbrot Set was discovered artists and mathematicians have been trying to find the 3D equivalent i.e. the mathematical version of cauliflower/broccoli. After many failed attempts e.g. involving Hypercomplex maths (Quaternions, Bicomplex etc.) which just don't work, eventually (in 2009) Paul Nylander tried the z^8+c version of a 3D method first developed by Daniel White. Although the z^2+c version did not look too great, switching to the higher power produced essentially the result everyone was waiting for. To find out more just search the Web and KZfaq for "mandelbulb".

@jbolo5378 7 жыл бұрын

David Makin ooo

@christiankamleh9562 6 жыл бұрын

Thanks for sharing Mandelbulb, they're awesome!

@notme222 14 жыл бұрын

@TheDentist27 Perhaps this will help: One of the problems with making electronics is that a basic component, the capacitor, relies on surface area. A symetrically-distributed surface area, no less. So if your capacitor needs 1 square mm of area, it seems impossible to build it smaller. Using Mandelbrot's fractal formulas, we can now design for greater surface area without increasing the footprint. It really is an essential part of modern design.

@paulobiber5907 Жыл бұрын

What a delightful wise man.

@JesseWilliams11 10 жыл бұрын

You just blew my mind

@ZX81v2 5 жыл бұрын

LOL 44 people think this is a thumbs down video... One of the most brilliant Mathematicians of the 20th century. Seems you can't fix stupid....

@user-vx1wt4hb5l 5 жыл бұрын

Yup. that's another rule nature can be described by.

@gulnorakhudoyberdieva5147 2 жыл бұрын

Great presentation! Thank you so much. I assume there are opinions, in fact, proofs about managing complexity through a series of simple rules (simplicity). I personally like the idea of creating complex things by generating ideas or things that seem like "stupid" or "nonsense". At least I guess I understood that.

@terezinhanogueira6912 3 жыл бұрын

this guy is a fucking Genius, im an artist, and u used his work everyday ! thank you sir, you made my life better !

@schulerlukas2720 Жыл бұрын

I wish he would see the development of 3d fractals its amazing

@lvecsey 14 жыл бұрын

algorithmic information theory actually explores the most dense (or simple) rules that output a given set of complexity. taken under that light the biological systems we see around us are redundant (for reliability and fail safety) marvels of engineering.

@oikos342 Жыл бұрын

such an amazing mind

@mikep4216 10 жыл бұрын

Cool...absolutely amazing!!!

@euripideesshreds 13 жыл бұрын

@SSPX3 I am flattered. Thank you. I tried to check you out but Ch.N/A. Anyway you just made my day. Yet I'm not trolling for complements. TED has the smartest people so... what company to be with! I would say so much more but Demure to reflect the humility of our guy here. What they don't say here that I will mention is that he survived the WWll in Germany in hiding for 4 years as a younger man.( I just found the cool documentary moments ago).

@Talazorn 10 жыл бұрын

That comment made my day! congratulations sir!

@kevinrothi 13 жыл бұрын

This man is a hero of mine. His ideas changed the way I perceive the world. He will truly be missed and the world has lost a towering intellect.

@dabzdavid2378 6 жыл бұрын

I guess no one watched the short animation at the end of the video.

@prwexler 10 жыл бұрын

God, I wish I'd known that he was speaking in Long Beach, in 2010. I don't know how I would have squeezed my way in, but this would have been a pull-all-the-stops-to-get-a-ticket event.

@crudhousefull 12 жыл бұрын

It was mind-boggling to see Mandelbrot speak. Wow...what a giant

@cesarmaurera1 10 жыл бұрын

Amazing ...

@nachoijp 13 жыл бұрын

Trying to understand a polish talking in english while being spanish is one of the hardest things I ever tried to do... Ted should add the subtitles to the videos (the have them on the site)

@Moodboard39 2 жыл бұрын

Exactly! Stupid people. Idk how anyone could understand wtf he saying with that bad English

@Claudette68 Жыл бұрын

I am Hispanic also and I can understand not only his pronunciation but also his grammar. Sound like us

@HeavyPhoton 13 жыл бұрын

R.I.P. Great master :(

@ENr369 8 жыл бұрын

What a fucking badass!

@jetpaq 8 жыл бұрын

+Edward Nygma agreeeeed!

@MsGnor 8 жыл бұрын

Yes, he is that!!! :))))

@mopsnuf 7 жыл бұрын

I study math but want to work outside academics. I encountered mr. Mandelbrot in a project, he's been one of my heroes since. What he did, how he did it and what he thought of is all still so massively impressive. Awesome.

@travisn2it 14 жыл бұрын

I've been designing a tattoo based on the Mandelbrot set, Chaos theory, and the bz reaction. I plan to have it done in the next week or two.

@esyrim 6 жыл бұрын

the little film at the end was cute! :o

@1schwererziehbar1 14 жыл бұрын

@thernr ah now i see what you meant. thanks for clearing that up.

@MikeinMr 10 жыл бұрын

Amazing person

@valeo626 13 жыл бұрын

DUDE, SWEET TALK, BROT

@frosthazard 13 жыл бұрын

Rest in peace Dr. Mandelbrot. My hero.

@AlternicityBlogspot 10 жыл бұрын

13:10 See also Taleb: Black Swan

@hellavadeal 14 жыл бұрын

@thernr That is interestingly honest of you. Thanks. Have a good day.

@staytrue4201 9 жыл бұрын

elegant genius

@teethoven 11 жыл бұрын

THANKS

@FractalPrism. 4 жыл бұрын

i feel so personally explained in detail rn

@boggo3848 4 жыл бұрын

Great man.

@Nyxtia 14 жыл бұрын

@Jinmane Those are excellent, I particularly liked 'Coloured Fibres'.

@Willayam91 14 жыл бұрын

Awesome talk! I wanna be as cool as him when I'm that old!

@Truthiness231 11 жыл бұрын

Should have invented the "dancing ovation" for this talk; a standing ovation isn't good enough.

@holdmybeer 14 жыл бұрын

sweet topic TED!

@Buoy2 14 жыл бұрын

@SSPX3 excellent!!

@jakejakeboom 8 жыл бұрын

this man makes me proud to be Polish (even if he group up in France)

@smokymcbongwater1088 3 жыл бұрын

Do not take pride in things you do not earn. None of us can choose where we are born. So being proud of it is almost as foolish as being proud of being good looking.

@Moodboard39 2 жыл бұрын

Grew not group lol

@momentary_ 14 жыл бұрын

@TheDentist27 Yep, a great deal of science and technology has sprung forth from that understanding. Everything from decoding the human genome to the design of integrated circuits relies on the math developed by Mandelbrot. No doubt, countless other things in the future will rely on this mathematical understanding of nature.