phi, the nature of growth

[snoutastic]

Why didn't the maths teacher at school explain that numbers can be interesting,I might have paid him some attention if he had.

[fuckslipknot21]

nature is governed by efficiency? i dont think so.

[cmegens]

Out of 88755 viewers.. That's ok for me :)

[KimdraElliottVoelkel]

14 people didn't get it.

[BibiaJeriaa131]

l0l_î_fëel_sÕ_lòÑëlÿ_tøDÃY

[mrloulou97]

thumbs up if you went here from reading da vinci code

[rollthetape88]

the resistors? running them in series follows the phi?

[TheEpisteme]

I'm sure greyonednb likes getting another answer to his question in his inbox every week or 2 even 2 years after he originally posted the question.

[thesequencemovie]

Nice. Thanks for making math sexy!~

[MonsieurSinan]

it is amazing to know that phi one our fingerprint smile

[nickharvey7]

Very nice video!! Even at the quantum level of the atoms we have phi, the energy level of a quantum vector is linked to the energy level of the two previous quantum vectors. This could be the reason why we are seeing phi everywhere in nature.

[THG009]

Nice.

[itztheJL]

founded?

[Vorbis5]

this vid. is sooo chill.

[malcolmbryant]

Delightful! tyfp

[HavazikFerric]

Absolutely beautifully done...

[gigimc]

this concept needs to be instilled from pre-school on up, EVERYwhere

[InfinityOE]

Wow, that's a lot of decimals into Phi... That makes this video completely worth watching. 2 thumbs up!.. I can only do one... Sorry. Thanks for the upload, especially for those who weren't familiar with this before.

[Cvillemac]

Killer music. Great video!

[sybyly]

why am i bothered by the missing apostrophe?

[makav08]

amazing, and the inspiration behind my photography business

[abaddon1112]

phi is simply amazing

[GR1o6180339887498948]

Even nature has to approximate φ but don't blame me about it, nature is not perfect.

[buckmanz]

I like the Song behind this.

Any idea what band this is?

[nburmandesign]

@buckmanz The band is Air. Song is called Talisman from the album Moon Safari.

[createrainbowz]

Thank you  ONE LOVE :)

[iisadoraf]

nature is that way, stupid persons just think in theyr needs ,,never in the soil needs. To create the perfect soil, well that is impossible because there is so many possibles variables also infinite :-)

[missyloulawless]

Hope you got the message, have never replied to a message i put on utube, new world! seems my reply arrived here, so again THANKS! was reely good to see this again xxx

[missyloulawless]

Thankyou for reminding me of this video, i saw it a while ago...

was one of the inspirations for my current thinking

[ThePhantomBlacksmith]

Nicely done :)

[brianpadraic]

Awesome!

[EnzoCalamia]

I love φ

[TheSuperMAn1989]

The Creator in motion is showned through math & geometry, the lenguages of Light!!!! This is wisdom; Light guides in expression while Love pull your consciousness back to the source!!!!

[philosophersphone]

I agree. I'm more Artist than Mathematician and I understand now that the entire universe is designed (by God) to grow and flow freely within in a certain amount of space. But in my opinion, trying to figure out the mathematics of that space is less important than working masterfully within it. We are, afterall, only finite.

peace

[dodiezresibemol]

and the music?? :-s does anyone know the song?

[wstadtlander]

@dodiezresibemol the song is "Talisman" by Air (French band)

[jazznjava]

beautiful music

[kounelaki2]

as exigisei kapoios sta aglika oti apo piso einai o pithagoras kai to arxeo ellhniko pneyma.

xipniste ellinopoula na mathoun thn alithia oi agrikoi

[kounelaki2]

ας εξηγησει καποιους στα αγγλικα την καταγωγη του Φ ας μηλησει για τον Πειθαγορα,δεν ξερω αγγλικα

[nickharvey7]

There must be a universal process of symmetry forming and breaking for us to see these patterns everywhere.

Nice video!!!

[barthofstee]

erg goede video

[dougiefresh916]

Okay that was like seriously fucking cool!!!

[yvetka92]

where can I find the decimal number of phi like shown at 1:40 f.?

any idea?

[Pyromaniac9690]

@yvetka92

Phi is an irrational number, which means that there is no true decimal number for it but rather an infinite amount of non-repeating numbers. The fractional for of phi is:

1+rad 5

------------ 2

Which is one plus the square root of five, all over two. I'm sure that if you googled it, you should be able to find the first couple of thousand numbers.

[ghopperguy]

This was helpful in me understanding why Phi is existent everywhere. -The whole governed by efficiency thing...

[mattlouden]

anybody know this song or who it's by?

[percheroneclipse]

I think "Air" is the band.

[dzu24]

@mattlouden ist a song from air. don't know the name. but its an older one

[Mario1vsSonic1]

phi is in everything (i think) but this is true: in the old days it was said to be the tool wich god used to create the world

[fractalchez]

Very nicely done work.

[Waldgaard]

Thanks ! I searched the title of the music track and found it : it is "Talisman" .

[thedarkener]

Fantastic explanations, especially re: design and the appearance of an object or structure naturally evolving. This is a key to how reality exists.

[Waldgaard]

The music is awesome !

What is it , please ?

[myecoduck]

This is a track from the group "Air", but I don't know the title.

[Waldgaard]

Nice !

The music is awesome !!

What is the music, please ?

[raleelee88]

Cause they don't teach you anything in school..except how to sit and obey orders.

[ironclownfish]

Actually, those of us who pay attention in school get to learn about this kind of thing when we get to the higher math classes. If all you learned in school was how to sit and obey orders you must not have been trying very hard to learn.

[raleelee88]

Lol. Whatever. They might teach it in better schools or in "higher math classes" but I never came across it or anything true. Good for you that you pay attention in school though. Yay for you!! They need to teach you how not to be self-righteouss is what they need to do.

[ironclownfish]

I'm not self-rightious. My parents are both teachers and I just take offense to people who say that schools don't teach them anything. I don't know what school you go to, but usually when students don't learn it's not the teacher's fault. If you go to a bad school then fair enough, but don't generalize your criticism to include all schools because most of them are just fine.

[raleelee88]

I'm sorry I offended you. I respect you're opinion actually, and that it's strong but I still disagree...oh well lol

[ironclownfish]

fine with me. now let's forget about it and go watch some 10 year old kid make a video of himself trying to robot :D

[elysium735]

You've never been to district 205.

[wolfboy714]

lol doesn't take math, the beautiful thing about this is, it works with human psychology as well.

never ending cycle.

[0pinion8ted]

Who the fuck is down marking peoples comments for saying that this is a good video. If you dont agree with the general consensus that this is a good video, kindly kill yourself and fuck off while your doing it.

Here endeth the rant.

Great vid. didnt know phi was related to the golden ratio, why dont they teach this kind of math in school?!

[KnotsOfWonders]

cause they think we're stupid

[ifurn0]

Because its a clue.

[rollinshultz]

@0pinion8ted The reason you will not see it taught in schools is because after seeing it most people unlike the video authors would say it evidences the theory of intelligent design. The schoolsystems would rather you not give any thought or credence to that.

[0pinion8ted]

@rollinshultz Mainly because Intelligent design is a big stinking pile.

[1acount]

main ly because once people start thinking about the nature of the universe they might start THINKING,like about why the goverment schools never tought this,then they might start wondering if the goverment really has thier besy inyeresy in mind,the truth might set them free,(free from things like property tax wich is unlawfull and unconstitutional)and they dont want that

[1acount]

because schoolisnt for teachin g ,its to dumb people down ,and keep them at a low level of education,to stop them from thinking too much and teach them an oficial politicallu correct version of science math and history

[1acount]

dam youtube deleting or otherwise hindering my (anit?)political comments

[mart1n1ta90]

woow..

it´s unbelievable..

it´s the secret of life

of all of us

amazing..

PD: could you tell me the name of the song, i also loved it

thanks!

[thebookofheaven]

phi what an interesting creation :) thanks for sharing

[mark191416]

Amazing thanks!

[vitruvian8807]

Very well done video. Faved+

[ZunSuperGirl]

VERY WELL DONE!

[Tony333Redgrave]

Such a good video! gave 5/5!

[Thaddeus088]

coral castle.

i LOVED your video.

[runescapetv3]

whoa man, thats deep...

[greyonednb]

whats the link between fibonaci and phi ?

[cmegens]

just look it up. google does wonders!

[greyonednb]

Phi = pure math , following all the points on the spiral curve

fibonacci numbers = 0 1 1 2 3 5 8 13 21 34 55 ... , following all the rectanguar points (spiralwise)

:)

[adamsrj06]

unlike your video which explains nothing. None of this can be understood unless you already know the facts in the video

[abhinayan27]

@cmegens in the fibonacci series any numebr/number preceding it = PHI

[adrastea99]

Fibronaci divided and averaged over all of it's instances gets phi

5/3

8/5

13/8

21/13

34/21

All the way to the larger numbers where the answer is more clear:

222232244629420445529739893461­909967206666939096499764990979­600/13734708057716311543202577­171027913184570027521276746726­4610201

Average the answers and you get phi, the Golden Ratio (just as fibronacci is the Golden Sequence) or 1.618

[adrastea99]

Fibronaci divided and averaged over all of it's instances gets phi

5/3

8/5

13/8

21/13

34/21

All the way to the larger numbers where the answer is more clear:

222232244629420445529739893461­909967206666939096499764990979­600 divided by 137347080577163115432025771710­279131845700275212767467264610­201

Average the answers and you get phi, the Golden Ratio (just as fibronacci is the Golden Sequence) or 1.618

[rufiao]

@greyonednb

the more n increases, the ratio between a fibonacci number and its predecessor tends to phi.

eg. 89/55=1.618

in other words, fib(n) = round (1/sqrt(5) * phi^n)

[drfoxcourt]

@greyonednb The limit as n -> infinity of a fibonacci number (F(n) divided by it's succeeding fibonacci number (F(n+1)) is Phi (=F(n) / F(n+1))

[GonnabeUSNSEAL]

@greyonednb fibonaci's sequence 1,2, 4, 8... adds the two proceding numbers together for each term, it was found that when two consecutive terms in the sequence were divided the division yielded close to 1.68 until teh 6th number where the numbers became consistant

[kojimo1313]

@greyonednb you can also see it in the video : )

[wrcmr]

@greyonednb 2:19-

[PronagePow]

@greyonednb Fibonaci sequence: 1,1,2,3,5,8,13 (adding 1 and 1 equals 2, then 2 and 3 equals 5, and so on)

Dividing two numbers of the sequence that are right next to each other equals close to phi, and the higher the numbers of the sequence, the closer you get to actual phi. 13/8=1.625....groovy stuff.

[mayishan]

@greyonednb

all irrational numbers can be approached by a sequence. The Fibonacci sequence converges to phi. Carry on the fibonacci sequence to 50 terms and divide the 50th number by the 49th number - you get something close to phi. Phi is unique that the ratio sequence that defines it approaches the irrational number in the SLOWEST way compared to all other irrational numbers. For that reason, it is the most irrational of irrational numbers. - source: I listened to a Mario Livio lecture

[lovetohate12]

@greyonednb

you divide each number by the last one

for instance: 5 divided by three, 13 divided by 8.

the higher you get, the closer the number will get to phi.

[myceliummatrix]

that spiral you showed at 1:58 would make a great dome,i would so live in it

[AlienScientist]

All self replicating systems in nature follow this mathematical pattern! Walter Russel even mapped the Periodic Table of Elements onto a spiral based on phi!

[bottomgrooves]

what song is this?

[Wyrdd]

Sounds to me like a rendition of a song from the "Gladiator" sound track w/ Russel Crowe.

[DjShemxl]

it's a song by AIR from Moon Safari album, forgot the name of the track though

[Kawiezel]

i believe its talisman by air

[josephpejovic1]

square root of 5 divided by 2 right?

[DKNYZERO]

3 + 5 = 8

[Etabeeta]

For the sequence the formula is (phi^n - (1 - phi)^n) / sqrt(5). Where n is any positive integer. Eg. (phi^6 - (1 - phi)^6) / sqrt(5) = 8, in other words, the sixth Fibonnaci number is 8.

[DKNYZERO]

If the first number as 1, then solving for 2nd number x, where the ratios (x + 1)/x = x/1 or (multiplying by x) yields: x + 1 = x2, or thus a quadratic equation: x2 − x − 1 = 0. Then, by the quadratic formula, for positive x = (−b + √(b2 − 4ac))/(2a) with a = 1, b = −1, c = −1, the solution for x is: (−(−1) + √((−1)2 − 4·1·(−1)))/(2·1) or (1 + √(5))/2.

[11hunabku11]

@DKNYZERO 8 + 5 = 13

[Etabeeta]

[ 1 + sqrt(5) ] / 2. 1 plus square root of five, divided by 2.

[simonzowie]

I love Phi!

[RodCornholio]

Looks like an undergrad video. Good job. Hope you got a good grade.

[Relivingthe80s]

Fascinating.

[imbroglio74]

ϕ!

[11hunabku11]

This video was one of the triggers in my process of awakening. As above, so below. As macrocosmos, so microcosmos. Source: The Emerald Tablets of Toth the Atlantean.

[amarnamriju]

cool...i knew phi was aesthetically pleasing and all but never knew how it was functionally efficient as well like the the optimal arrangement of the sunflower seeds.

really cool vid and info thanx a lot

[PINKWATERS08]

AMAZING INFO

[MoonlightDiver]

excelent sound,

would it be driven also by Phi?!

where can I found the complete song?!

[fusionsmarty]

album "moon safari" by "air"

[Whuntmore]

this was alot better then that techno - flashing crap video from gr33n0r4cl3.

[Xteaphn]

The song is Talisman by Air

[tpcardoso]

rlly cool vid

could u explain me what the spirals have to do with the golden ratio:

thx

[pandc35]

EXCELLENT cinematography! Although, i had a prob with the spelling in some parts...

[thedarkener]

0,1,1,2,3,5,8,13 ...

=)

[L03k1]

How is the song called?

[ImSuddenlyFree]

Excellent video!

Simple and beautiful copywriting.

[ImSuddenlyFree]

Excellent video!

Simple and beautiful copywriting.

[bayonet4]

You answered your own question. Earth is going down hill because people are too stupid or lazy to think for them selves and end up following religion. Read Richard Dawkins. I'm not telling you you have to believe it, just read and think for yourself. To ignore this advice is to put your head in the sand.

[lassa02]

im not teling you to believe it but to ignore the "advice" is to put your head in the sand....hypocrite

[TomKrop1984]

Mooi filmpje, ik snap niks van wiskunde, maar het wordt hier heel erg boeiend voorgesteld!

[bouncingbubbles08]

I enjoyed it a lot, thanks!

[phiberoptick]

call me a nerd but this video is really cool :D

[hitram64]

Congratulations. An Elegant and sophisticated  production.....love it.

Great to see examples of phi in technology and modern design...i had know idea.Thanks

[LoricaLady]

Thanks for this interesting video on Intelligent Design. And blessings! :-)

[magicalinteraction]

It's nice that you like the video but I'd like to stress here that the video does not advocate the theory of Intelligent Design. The key message in the video is that Phi is the result of nature's strive towards efficient distribution of space in a process of growth. This is coherent with the evolution scenario.

[themadtapper]

yup, all it does is make you question that with life following such a perfection of pattern, did something, or is something outside of it the "creator" of the concept.

[peluchetaiwanes]

but is evolution blind? then the evolution scenario might not be coherent in itself

[brianpadraic]

@magicalinteraction Oh, Lordy. Let's not get on a atheism vs. creationism flame war on here!

[missyloulawless]

Great vid! we should remember that it's always been there in nature. Nature came first, the numbers came after!

[brianpadraic]

@missyloulawless I think "nature" and "numbers" come hand-in-hand....

[Kindred1a1]

great video

[FantinoLatino]

Cool video !!

[havanissa]

Nice video

[2terence2jones]

well done.

[hurtubey]

Excellent!

[ghettovr]

Great video, well made. Thx a bunch! :)

[cmegens]

Well I guess you misunderstood our statement then... Yes the golden ratio is discovered in nature, but our statement is that is is also established by nature. The golden ratio comes from the way things grow in nature, and thus naturally found its way into design and all the other fields... Maybe you misunderstood this from the video, or maybe you disagree with us. But that's why we make the statement. It's food for thought...

[ariw2003net]

That's a good point, but it still is bad grammar, even when saying it like that... Interesting video by the way.

[2terence2jones]

if you mean the golden ratio is established by nature then it should be "the golden ratio is FOUNDED BY nature". if you mean the golden ratio is discovered in nature, then it should be "the golden ratio is FOUND IN nature".

[lonewolfsiddownsyou]

that's what I meant anyway it is a good video

[2terence2jones]

but there's one more thing i don't understand. what does the chair at 00:18 mean? what does it have to do with phi?

[onlyontuesdays99]

Yeah, same with the ipod and the beetle?

[Kindred1a1]

Chair, iPod and Beetle are all constructed using the golden Ratio. Read "Geometry of Design" it takes examples such as these and shows the golden ratio applied

[lonewolfsiddownsyou]

"The golden ratio is founded in nature."???

Fix the error

[cmegens]

eh what error?

[lonewolfsiddownsyou]

it is supposed to be found in nature. Founded means it was established in nature. However, it is discovered in nature.

[gigimc]

semantics.... 'found' is what they meant/ relax... PHI is also evidence that there really is an intelligence behind earth's design because it's in EVERYthing that occurs naturally, including our own bodies

[socratesone]

I put this up on my website while I'm working on it.

Great vid.

[cmegens]

Wow is this actually used in mathclasses? that suprises me!

[cyczanddemluver]

=D Yeah. What's the song used in this video?

[cmegens]

ehm, not sure anymore which song, but the band is Air.

[cyczanddemluver]

Aw.. Well if you remember, just let me know.

[Tokenekie]

I would like to know as well.

[cyczanddemluver]

I found it. It's called Talisman, and it's by Air.

[Tokenekie]

Awesome, thanks!

[cyczanddemluver]

I watched this in Math class the other day, very nice. But what is the name of the song?

[dorianizm]

Cool video! For you out-of-pocket naysayers; If you want to test this for real, find a golden ratio/golden section protactor and go out and use it on everything you can find out in nature, you will find there is a verifiable pattern, or just test your own face after your done with that redbull...

[Tangledhelix422]

Ok if you mention that SUNFLOWERS grow in the phi ratio, then you should show SUNFLOWERS not thistles!

Otherwise i love this video!

[cmegens]

Well, the text about sunflowers is written over a picture of sunflowers, so I think we covered that part. After the picture and text we do show thistles, which also grow in the same ratio, but still look completely different. We wondered why two different flowers grow in the same ratio, but become two different flowers. This video is not all about answers, but also raises some questions in between the lines...

[jheinzelman]

pretty but no real material info