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The magic of Fibonacci numbers | Arthur Benjamin

46716 ratings | 2646997 views
Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!) 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 (or less). Look for talks on Technology, Entertainment and Design -- plus science, business, global issues, the arts and much more. Find closed captions and translated subtitles in many languages at http://www.ted.com/translate Follow TED news on Twitter: http://www.twitter.com/tednews Like TED on Facebook: https://www.facebook.com/TED Subscribe to our channel: http://www.youtube.com/user/TEDtalksDirector
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Text Comments (2218)
E. Boatman (15 hours ago)
whats the square root of an onion? go ahead peel it and find out.. this is a good video to study for us guys who went to work after 8th grade.
Justin Alan (1 day ago)
Absolutely brilliant. We need more people like you! Thank you to infinity and beyond.
Noah Ark (2 days ago)
By the way, it's Hemchandra, the Indian mathematician and poet who first came up with this, 200 yrs before Fibonacci.
CV Studios (2 days ago)
I think the reason why i think math and dont click so well is that i really have a memory problem? I love amd enjoy art but patterns. I may have an early stage of forgetfulness
aasy jepale (2 days ago)
In Finland 112 is emergency call and 358 the country code
2:44 why you skipped number 3? Any reason for this?
ロナ センセイ (6 days ago)
I love him 💕
Dumbledores Auror (6 days ago)
Amazing patterns
Abdullateef (8 days ago)
When I'm thinking of then name "fibonacci" I do not think of these numbers at all. I just remember season 1 of prison break where John abruzzi and Scofield talked about finding fibonacci because abruzzi wanted to kill him.
Kababayan Mekeni (8 days ago)
MENTAL MULTIPLICATION of 20-DIGIT NUMBERS video by Joshua Thomas Macalintal Soliman :
Kababayan Mekeni (8 days ago)
Joshua Thomas Macalintal Soliman https://youtu.be/nO3gSDDWQGQ
Linnette Bay (14 days ago)
Abbas Mazari (15 days ago)
Nicely explained the magic of Fibonacci numbers...
I used to really hate Maths before bumping into David Bohm at Brockwood Park. Now? I love it! It is a language by it self.
Dimitri Tsanakas (18 days ago)
very nice
Chosenmind1223 (19 days ago)
If I would have had a teacher that was excited to teach mathematics maybe I wouldn't hate and suck at mathematics so much today. But then again most teachers dont get paid very much, but then again if you're a teacher, you want and love to teach before anything else.
Noemi Bujáki (19 days ago)
Köszönöm minket nem tanítottak Fibonacciről soha, a gyerekemtől hallottam róla, és itt még többet megtudhattam róla.
Monhburen Gombo (23 days ago)
Монгол Ямар үнэтэй вэ
Id4n (24 days ago)
*The Spin Johnny!*
Manuel Pena (24 days ago)
Oh Meh Gha(d)- Fibonacci interest comes from our daily life experience of time's rate of decrease. The "magic" number gives us a spinning vortex that actually represents the passage of time our "memory" (of the past) has brought forward. It represents the rate of which every particle in our universe is shrinking as it wastes away to eventually violate the laws of the preservation of "matter" and all the other "WE" have given/applied to what we have failed to understand. Einstein's warped space(/time/energy/matter/existance).
Faris Mfaf (25 days ago)
Intererested. That problem in my school.. mathematics is not have function. My friend think mathematics are hard to learnt by them. I think, we should have the teacher which is can makes our interested.
this is my mathematics for my second term subject thanks you sir,
Nacho (30 days ago)
Every positive integer is the sum of different non consecutive Fibonacci numbers
liigeAD (1 month ago)
All I heard was numbers
Destrudo Alexandros (1 month ago)
Wat of time im bored
Sand Sueno (1 month ago)
I thought he will show how a Fibonacci number can deceive an eye.
Danny (1 month ago)
All i can think of when i hear him speak is Mandark.
Vidyaranya vijaypura (1 month ago)
Energy transfer cannot take place in a thermodynamically homogenous medium but magic number violates it- energy teansformation can happen without altering the homogenity!
A B (1 month ago)
These are not fibonacci numbers.. these are Hemachandra numbers... the Indian mathematician Hemachandra wrote this formula in a Sanskrit text centuries before fibonacci.... West has the habit of not telling true facts.. ...
Rustam Ali (1 month ago)
I love fibanacci match
Ruby Doobie (1 month ago)
Life ain’t a circle. It’s a spiral
Skinnzy Kiwi (1 month ago)
Leo179 Videogames (1 month ago)
lucas numbers are better. awesome talk still
Mark Reid (1 month ago)
"Revelation of the pyramids" got me hooked on the golden ratio!
Agenk Guitar (1 month ago)
Lateralus brought me here
Angel Bulldog (1 month ago)
As a left-brained woman, I always loved math in school. It's so constant.. like God. So in my young mind, math was holy.
consciousnick - (1 month ago)
If we take the sequence backward from 1 into the decimal micro world, at what point do we stop seeing this appied in nature?
consciousnick - (1 month ago)
Strip away everything but nature. A tech fast of sorts. You'll get a gaiarrection.
amit trivedi (1 month ago)
STUDY PRIME (1 month ago)
Why not zero in that???
Antonio DG (1 month ago)
I fell asleep half way.
Jacob McCombs (1 month ago)
when i ask why we learn this my teachers say its just part of the curriculum and that she/he doesnt want to teach it either
Priethwin Ramakrishnan (1 month ago)
Do You know? ANNACHE- Fruit go ask Tamil. People...
Priethwin Ramakrishnan (1 month ago)
Nature language... Oldest language... Science language... First ...language.... Last... Language Mother's language.. All language...Find.. Trade and Grade language.. Finally.. GOD..Language........
Priethwin Ramakrishnan (1 month ago)
Hallo. U thing u r Jeanie's... No.. U go to Tamil letter. starts A. ...to. N
Petyr Kowalski (1 month ago)
I get it but its a bit of a stretch when he looks for numbers inside numbers
İlker Güler (1 month ago)
Keşke çocukluğumda matematiği bana böyle eğlenceli öğretecek güler yüzlü bir öğretmen ile karşılaşsaydım..
jackisbadlol (1 month ago)
Lol I made a presentation at school four years ago exactly like this XD
Abhijit Mondal (2 months ago)
It's a magic of mathematics...
Nathan Bertelink (2 months ago)
achatterjee14 (2 months ago)
Aidan Keane (2 months ago)
Beauty of math!+×÷=/<>*
fighting FRENZY92 (2 months ago)
If you're interested in this, you've been forced to.
tarundeep movva (2 months ago)
But ...but...mathematics is much more than sequences
Arka Bhattacharyya (2 months ago)
i thought it was bill gates in the thumbnail
Anonymity Is Best (2 months ago)
Fibs are used everyday in trading, and it's amazing how often price turns at the golden ratio (.618)
Tim Early (2 months ago)
A very good read is, "Is God a Mathematician?" (No, it's not trying to prove God) It asks how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Is it part of the fabric of physical reality?
André Fagundes (2 months ago)
2.3% disliked a brilliant video, people are so weird.
Blake Parker (2 months ago)
"For since the creation of the world God’s invisible qualities, His eternal power and divine nature, have been clearly seen, being understood from His workmanship, so that men are without excuse." Romans 1:20 There is a GOD HIS name is I AM, HE exists in three parts and HE manifested HIMSELF among men to die for the sins of all of mankind, but HE took HIS life up again. Just like the Fibonacci sequence GOD has other laws for life and one law is this: "For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord." Romans 6:23 If you do not believe upon the name of JESUS and turn from your sin, you will die my friend. Experience Eternal Life through the remission of sins by the blood of JESUS. HE shed HIS blood because only HE could pay the debts that HE required. "For GOD so Loved the world, that HE gave HIS only begotten SON, that whosoever believeth in HIM should not perish, but have everlasting life." John 3:16
Daniel Chung (2 months ago)
Derek Wilhelm (2 months ago)
He's a great lecturer and teacher.
chun yan gong (2 months ago)
He is the fun professor that I never had
Armstrong Chanbers (2 months ago)
I live in the US and I ventured into Forex to help my family lead a comfortable life but for a whole year I struggled with no actual meaningful profits, I was at the lowest point in my life my wife almost left me, just at the beginning of this year I came across *Lukka Semenov* who a lot of traders have been praising over the years I decided to give him a try and within these few months I have earned thousands using his *Lukka Binomial Strategy* and I am now able to live in my own house. To get this strategy just carry out a simple google search and get things going.
Anang Sulistyono (2 months ago)
Wow, this a superb presentation. Wish I had this kind of skill when I was in college. Dynamic pptx, interesting content, lively speech, and a killer closing statement. Perfect.
Gram Carter (2 months ago)
WOW he's the most realistic muppet I've ever seen, bravo TED, very innovative technology
Royal Pro YT (2 months ago)
He must be a teacher
Aldo Gincarlos (2 months ago)
What i wonder is why do we use a 2 digit value system for 10's why cant it just be a arbitrary single digit expression without altering value to the left? Example 01, 02, 03, 04, 05, 06, 07, 08, 09, 0θ 11 12 13 14 15 16 17 18 19 1θ 21 22 23 24 25 26 27 28 29 2θ Anyway this seemingly simple change would alter mathematical results. Maybe the 9 is an after effect of adding one value, one digit to the left. You're cutting into the 10 value with a 1 value. Get it?
Keyser Söze (2 months ago)
White Kat Williams
BMF (2 months ago)
NO GOD numbers
IRBot:Classic (2 months ago)
feebeenachee numbeers
Mohammad Ismail (2 months ago)
The Commenter (2 months ago)
I just love this man.
Francesco Contini (2 months ago)
oddly trivial, this one
Nguyen Park de Sosa (2 months ago)
Golden Ratio (GR) = (√5 + 1)/2 GR squared = GR + 1. 1/GR = GR - 1.
Gersom van Slooten (2 months ago)
This is the part math that always intrigues me the most. Everything fits so perfectly! It seems to be necessarily so. Like it can't not be perfect. I want to know why flowers show Fibonacci patterns.
Jan Janssen (2 months ago)
Gold? Prefer transparants kristalline. Way more flexibel
dat calculation tho (2 months ago)
This. Man. Is. Amazing.
Itay Dor (3 months ago)
He did not do justice to Fibonacci or the golden ration... its a lot more beautiful and interesting than that...
Samar Einstein (3 months ago)
This is incredible wow
Bob Lyra (3 months ago)
Arthur Benjamin, good Morning. Comment déchiffrer la paléographie des chiffres arabes du Moyen Âge https://www.youtube.com/watch?v=mIPsGrkUmEk&t=1s Thank you for your kind visit.
maragani sasank sai (3 months ago)
Math is fun
Dorimiat (3 months ago)
Go go Zeppeli
Smiles with Anagha (3 months ago)
Where can i learn such beautiful math everyday ? 😭
Jason Moore (3 months ago)
TED sure used to be great. So wtf has happened lately with talks about poor pedophiles.
Yume Iwamoto (3 months ago)
Literally this is my favorite TED talk!
K F (3 months ago)
This doesn’t add up
GASHISH (3 months ago)
If this sir taught math in my school I'd definately learn and want to learn more about math
Destinee A. draw (3 months ago)
This blew my mind
Abhishek Tomar (3 months ago)
What's the use of it? Other than fun
elli003 (3 months ago)
I use Fibonacci for finding breaks in my stock charts as a part of technical analysis. News events may affect stock movement, but absence of news does too. Fibonacci projections and retracements complement MA 50/200 and Bollinger Bands.
BlackWizards (3 months ago)
3:32 He was expecting the crowd to say Fibonacci, but they didn't so he said it himself lol
George Job (3 months ago)
Why was I force fed algebra when it was a waste of my life ! I am a baker ? Algebra ??? Yuck ..
Steve Johnson (3 months ago)
this would have been better if it were 30 minutes longer
Tanks_Go _ChooChoo (3 months ago)
I was lucky enough to meet this guy at my school a few years back
Han Naung (3 months ago)
Fantastic secret
J Attitude (3 months ago)
Why do you dance? Why do you paint? Why do you calculate? Why do you make music? Why do you make metal designs? Do we have more in common then some think? YouTube: Full Auto AR-15 vs Concrete Blocks (Full Auto Friday) Link: https://youtu.be/dL-4sBtnG3k YouTube: Cannon Shock Waves in Ultra Slow Motion - Smarter Every Day 200 Link: https://youtu.be/MgqIWDPMALk
Dr. Saav (3 months ago)
dunno, this was kinda mediocre, he still spent most of his time explaining calculation and only made a brief reference to its application in nature. A step in the right direction to be sure but it is going to take a lot more than this to truly inspire people, especially ones not mathematically inclined.
Thomas Cragg (3 months ago)
Without Limits (3 months ago)
He has an extraordinary mind but sometimes I think he just makes sums more complicated than it needs to be
shoji O (3 months ago)
Only few people can figuring out the “why” part...because most people stuck in the “solving” part...

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