The Golden Ratio: Is It Myth or Math?

แชร์
ฝัง
  • เผยแพร่เมื่อ 9 มี.ค. 2021
  • PBS Member Stations rely on viewers like you. To support your local station, go to: to.pbs.org/DonateOKAY
    ↓ More info and sources below ↓
    We’re on PATREON! Join the community ►► / itsokaytobesmart
    SUBSCRIBE so you don’t miss a video! ►► bit.ly/iotbs_sub
    ↓↓↓ More info and sources below ↓↓↓
    The golden ratio. Some say it’s the most mythical number in the universe. Others say it underlies everything from nature’s patterns to beauty in art and design. But, like, what is it? And does the myth of the golden ratio hold up to its mathematical reality? Let’s find out
    References: sites.google.com/view/golden-...
    -----------
    Special thanks to our Brain Trust Patrons:
    Roy Lasris
    Javier Soto
    dani bowman
    David Johnston
    Ahmed Elkhanany
    Zenimal
    Salih Arslan
    Baerbel Winkler
    Robert Young
    Amy Sowada
    Benjamin Teinby
    Eric Meer
    Jay Stephens
    Peter Ehrnstrom
    Dustin
    Marcus Tuepker
    Karen Haskell
    AlecZero
    Diego Lombeida
    Join us on Patreon!
    / itsokaytobesmart
    Twitter
    / drjoehanson
    / okaytobesmart
    Instagram
    / drjoehanson
    / okaytobesmart
    Merch
    store.dftba.com/collections/i...
    Facebook
    / itsokaytobesmartpbs

ความคิดเห็น • 8K

  • @besmart
    @besmart  3 ปีที่แล้ว +2084

    Just trying to think rationally about irrational things…
    Leave a comment and let me know what you thought of the video! I'm on Instagram @DrJoeHanson & @okaytobesmart

    • @yahlifenigstein580
      @yahlifenigstein580 3 ปีที่แล้ว +21

      Awesome video👍I learned about this at school and I actually listened 😱

    • @yokokurama5174
      @yokokurama5174 3 ปีที่แล้ว +6

      Good marketing strategy by attracting the annoying jojo gaefans here...
      Garbage anime toxic fanbase but good marketing ... If it was intentional that is... If it wasn't then yeah excuse the jojo fans they don't represent the anime community.

    • @nosuchthing8
      @nosuchthing8 3 ปีที่แล้ว +7

      Thank you for this ep

    • @michaelgrannen4417
      @michaelgrannen4417 3 ปีที่แล้ว +14

      at 8:34 3/1 = 1?

    • @spindoctor6385
      @spindoctor6385 3 ปีที่แล้ว +1

      Please pronounce the Ts in the word pattern, there are no Ds in it.

  • @pinmanko7798
    @pinmanko7798 3 ปีที่แล้ว +1911

    How to make Fibonacci soup?
    You need :
    1. Yesterdays soup
    2. Day before yesterdays soup

    • @MariOmor1
      @MariOmor1 3 ปีที่แล้ว +126

      And then to make Fibonacci soup for tomorrow you have to take today's soup and yesterday's soup.
      But wait... how can you use yesterday's soup if you already used it for today's soup?

    • @malaquiasalfaro81
      @malaquiasalfaro81 3 ปีที่แล้ว +32

      This is so funny why is no one liking this

    • @randomperson1418
      @randomperson1418 3 ปีที่แล้ว +2

      @@MariOmor1true lol

    • @Win090949
      @Win090949 3 ปีที่แล้ว +4

      @@MariOmor1 make a new soup and mix it with that soup?

    • @hatemykids1933
      @hatemykids1933 2 ปีที่แล้ว +2

      @@MariOmor1 you dont wanna know

  • @Lifegotmid
    @Lifegotmid 3 ปีที่แล้ว +5447

    Funny Valentine has been real quiet since this has dropped

    • @Agilku117
      @Agilku117 3 ปีที่แล้ว +342

      "I'll do anything for my country"

    • @ousamadearu5960
      @ousamadearu5960 3 ปีที่แล้ว +279

      @@Agilku117
      "DIRTY DEEDS DONE DIRT CHEAP!"

    • @yunarukami14
      @yunarukami14 3 ปีที่แล้ว +271

      @@ousamadearu5960 Filthy Acts Done at An Unreasonable Price

    • @rubyred186
      @rubyred186 3 ปีที่แล้ว +158

      @@yunarukami14 dimes for crimes.

    • @inr9751
      @inr9751 3 ปีที่แล้ว +103

      @@Agilku117 My heart and actions are utterly unclouded! They are all those of "justice"!

  • @bradensorensen966
    @bradensorensen966 4 หลายเดือนก่อน +293

    What’s neat about plants growing with the golden angle between their leaves or other parts is that they don’t have to be at the golden angle at the start. Leaves can adjust over time to maximize sunlight, settling into the golden ratio rather than forming it automatically.

    • @sarynium
      @sarynium 3 หลายเดือนก่อน +2

      yes@@TheUnitAce

    • @dr.michaelj.stefano8113
      @dr.michaelj.stefano8113 หลายเดือนก่อน +6

      which is why it should have been mentioned that at least one of the most blatnatly obvious mechanisms for this is phototropism instead of some magnetism mechanism that was mentioned.

    • @BillyWitchDoctorDotCom
      @BillyWitchDoctorDotCom หลายเดือนก่อน

      They follow a natural mathematical sequence that gets marginally closer and closer to the golden ratio over time.
      The sequence can become infinity close to the golden ratio, but it will never BE the golden ratio.

    • @RedLeg217
      @RedLeg217 หลายเดือนก่อน +1

      Mixing logic with relativism. Nice.

  • @rezazazu
    @rezazazu 4 หลายเดือนก่อน +103

    The paper leaf part was so amazing. Genuinely creative way of explaining science

    • @Iam_inevitabIe
      @Iam_inevitabIe 3 หลายเดือนก่อน +3

      never expected the video to take that turn

  • @dazc
    @dazc 3 ปีที่แล้ว +2287

    Gyro and Johnny taking notes, then airdropping em to Gappy as we speak

    • @johnnyjoestarsan2239
      @johnnyjoestarsan2239 3 ปีที่แล้ว +16

      True

    • @britinc1984
      @britinc1984 3 ปีที่แล้ว +25

      Do gappy get spin tho

    • @semag2090
      @semag2090 3 ปีที่แล้ว +60

      @@britinc1984 yes it turns out that snw bubbles are spinning

    • @christiankenney6890
      @christiankenney6890 3 ปีที่แล้ว +2

      @@semag2090 mp1pp0

    • @jd_elderberry
      @jd_elderberry 3 ปีที่แล้ว +13

      Glad to know I wasn't the only one thinking about this

  • @derfuchs3296
    @derfuchs3296 2 ปีที่แล้ว +2470

    Him: Golden Ratio
    My brain: You mean Golden Spin?

    • @shoqiaimran8645
      @shoqiaimran8645 2 ปีที่แล้ว +67

      That's what it's all about

    • @shoqiaimran8645
      @shoqiaimran8645 2 ปีที่แล้ว +43

      That's what it's all about

    • @waffles9771
      @waffles9771 2 ปีที่แล้ว +135

      Johnny! This is how you spin spin okay?

    • @ph1l69
      @ph1l69 2 ปีที่แล้ว +37

      Ein deutscher jojo fan???

    • @huegosaki09daydreaming
      @huegosaki09daydreaming 2 ปีที่แล้ว +60

      Jojo fans are now everywhere lmao

  • @kspreetheunicorn6243
    @kspreetheunicorn6243 6 หลายเดือนก่อน +77

    In Stell Ball Run(jojo part 7) they achieve the perfect rotation, by spinning steel balls(as well as nails) in the golden ratio, which when done perfectly will never stop spinning.
    Probably not possible irl, but still felt the need to share since i couldnt find any jojo refrences.

    • @yeetbigly5827
      @yeetbigly5827 12 วันที่ผ่านมา +2

      Thanks for the explanation, I was wondering why everyone was bringing up JJBA.. though, the more I learn about it the more I feel like that show just does everything and anything lol

    • @millie.381
      @millie.381 11 วันที่ผ่านมา +2

      @@yeetbigly5827 EVERYTHING happens in jojo

  • @Artist_Keena
    @Artist_Keena ปีที่แล้ว +275

    Thanks for explaining this in depth! One of my past art teachers seemed to obsess over the golden ratio, telling us to look for it in art, and most of the time when they pointed it out in works, I just couldn't see it or things didn't seem to line up perfectly, like the shell you mentioned. I've been wondering about it ever since, and finally, I have clarity!

    • @PinkishPlant
      @PinkishPlant 8 หลายเดือนก่อน +24

      I felt the same way. I was looking at and was so confused what I was missing, it felt like the curve and squares were just drawn onto random parts of buildings and art, guess I was right

    • @samalass466
      @samalass466 7 หลายเดือนก่อน +8

      It honestly feels likr they just nitpick spots that fit their argument. Sometimes they just out it into a spot with open air nothing to back it up.

    • @gaerekxenos
      @gaerekxenos 6 หลายเดือนก่อน +15

      Golden Ratio for art is BS. The actual necessary aspect is the concept of leading the eye around the canvas to retain attention and not lead the eye off the canvas elsewhere (unless that is the entire point of the work, which is another story). A lot of composition 'advice' regarding ratios and placement of content on a page is an attempt to "dumb down" or "simplify" everything into easily repeatable formulas, sort of like templates. Good for mass-produced and soul-less works, but not where/what you want to start off with if you are actually working with proper ideas/concepts that you want to convey

    • @lucianocastillo694
      @lucianocastillo694 4 หลายเดือนก่อน +2

      ⁠​⁠​⁠@@gaerekxenoscause plants actually use the golden ratio for maximum energy efficiency, do you think we might also should follow a ratio? Or are you saying that if we try to follow that ratio, we’ll never come close, so be natural in things?

    • @ronniechilds2002
      @ronniechilds2002 4 หลายเดือนก่อน +5

      I had a similar experience. Some people--educated people--just try to shoehorn this Fibonacci business into everything, like every significant ancient structure ever built.

  • @matthiasfreaked
    @matthiasfreaked 3 ปีที่แล้ว +1855

    What if you wanted to learn about the golden ratio, but then gyro said:
    _lesson 5_

  • @shremp69
    @shremp69 3 ปีที่แล้ว +1532

    The fact that his name is Joe just makes this even more Canon to JJBA

    • @Amuneh
      @Amuneh 3 ปีที่แล้ว +90

      I knew I'd find a jojo ref here

    • @creekline5009
      @creekline5009 3 ปีที่แล้ว +43

      So I wasn't the only one who started watching this for jjba

    • @johnnyjoestarsan2239
      @johnnyjoestarsan2239 3 ปีที่แล้ว +38

      Joe joe bizarre adventure

    • @bjmoreno043
      @bjmoreno043 3 ปีที่แล้ว +4

      @@Amuneh yes

    • @thebard745
      @thebard745 3 ปีที่แล้ว +18

      it took me less than 2 seconds to find a jojo reference

  • @simonsenoner3541
    @simonsenoner3541 10 หลายเดือนก่อน +58

    Love how you integrate comedy to get your lessons easier to digest... wasn't really sure what the Golden Number was all about, now it' s clear!

  • @davidparker2173
    @davidparker2173 ปีที่แล้ว +22

    A 5 to 6 proportion has an aesthetic quality for oil paintings I have preferred over the GR. Though for a long sided rectangle the GR is pristine. The GR enables much and is wondrous for designing a house, as it just makes everything seem to work quite easily. The GR really is an amazing phenomenon.

    • @gunslinger9171
      @gunslinger9171 2 หลายเดือนก่อน +2

      One number to rule them all!

  • @MedlifeCrisis
    @MedlifeCrisis 3 ปีที่แล้ว +3181

    OK but I DO want to watch that golden ratio documentary that was mentioned in the pre roll ad. The host looked a lot like Joe, weird.

    • @shoaibakhtar4389
      @shoaibakhtar4389 3 ปีที่แล้ว +13

      Hey doc please reply!

    • @serenevalor
      @serenevalor 3 ปีที่แล้ว +62

      **chews carrot** 🥕 ehhh......what's up doc?

    • @apocalypse487
      @apocalypse487 3 ปีที่แล้ว +2

      The force uses the golden ratio.

    • @OtherTheDave
      @OtherTheDave 3 ปีที่แล้ว

      Especially if it uses that intro 😂

    • @jaydeep-p
      @jaydeep-p 3 ปีที่แล้ว +3

      You are like the elon musk of youtubers

  • @greenman784
    @greenman784 3 ปีที่แล้ว +540

    "Gyro, does this man know that technique?"
    "I don't know Johnny. I don't know."

    • @thepillarmen2960
      @thepillarmen2960 3 ปีที่แล้ว +10

      There it is!

    • @jullehemmi9812
      @jullehemmi9812 3 ปีที่แล้ว +6

      I was hoping for a JoJo reference

    • @thepillarmen2960
      @thepillarmen2960 3 ปีที่แล้ว +3

      @@jullehemmi9812 I refuse

    • @cithara8954
      @cithara8954 3 ปีที่แล้ว +5

      I saw the title of this video. Clicked on it just to find a Jojo comment. I'm not disappointed.

    • @crazyguyethan1848
      @crazyguyethan1848 3 ปีที่แล้ว +2

      * Infinitely rotates refresh button so you cant watch *

  • @GroovingPict
    @GroovingPict 8 หลายเดือนก่อน +9

    I did pick the golden rectangle in the beginning, but only because I knew the "right" answer would be credit card shaped, so I looked for the most credit card looking rectangle... it didnt "feel" more special than the others. Everyone knows that the perfect rectangle shape is the one used for the A-series of paper sizes anyway, ie any rectangle with a ratio of 1:root 2

  • @Oleg-mx8gr
    @Oleg-mx8gr 6 หลายเดือนก่อน +3

    I love the fact that Derek paid tribute to Bolyai by mentionning him, even though he wasn't recognized as the cornerstone of the non-Euclidian geometry. We should appreciate people for who they are and thank them for doing their best.

  • @TheWanderstar
    @TheWanderstar 3 ปีที่แล้ว +1971

    I just found the word golden ratio in my maths textbook and I googled it and saw this vid so I clicked on it and now I feel like I'm in a cult or something.

    • @abeestosruinsageneration3725
      @abeestosruinsageneration3725 2 ปีที่แล้ว +141

      We aren't a cult, we are a "family."

    • @TheWanderstar
      @TheWanderstar 2 ปีที่แล้ว +46

      @@abeestosruinsageneration3725 lol vin diesel memes?

    • @razepp
      @razepp 2 ปีที่แล้ว +64

      family is more inportant than family

    • @abeestosruinsageneration3725
      @abeestosruinsageneration3725 2 ปีที่แล้ว +35

      @@TheWanderstar I'm an uncultured swine and I don't know what you are talking about. Now go ahead and find the golden ratio in a cup of tea, please.

    • @idlevillager3763
      @idlevillager3763 2 ปีที่แล้ว +7

      Math. Not even once.

  • @gyrozeppeli00
    @gyrozeppeli00 2 ปีที่แล้ว +699

    When steel ball run finally got dropped, prepare yourselves to see golden ratio everywhere.

    • @D4_Four
      @D4_Four 2 ปีที่แล้ว +11

      And yes that's gonna be a Ten years to wait for

    • @naipsiefilderussatser4067
      @naipsiefilderussatser4067 2 ปีที่แล้ว +8

      Yea 8-10 years later

    • @joyconbulb3743
      @joyconbulb3743 2 ปีที่แล้ว +10

      @@naipsiefilderussatser4067 nah Id say 5 years at most since stone ocean is gonna release soon

    • @funkydong5315
      @funkydong5315 2 ปีที่แล้ว +3

      @@joyconbulb3743 I mean horses are a pain to animate

    • @joyconbulb3743
      @joyconbulb3743 2 ปีที่แล้ว +1

      @@funkydong5315 True but they could easily get some people who animated like attack on titan on board since they would be use to it. It would still take long but not no 10 years like some people are saying.

  • @carpenterhillstudios8327
    @carpenterhillstudios8327 4 หลายเดือนก่อน +4

    Irrational numbers and ancient greeks bothered me until I realized what you mentioned in passing early in your video- "ratio" which requires two components. So it's not about the dividing of one into the other for a quotient but it is to consider the relationship itself which creates the geometric result. Geometry literally means "earth meausre'. It was decades ago now that I began to conceive of Phi as a geometric function and what fun I've had. The ancient architectures become clearer when you look through that lens. Great video and thank you for pushing through the myth a bit.

  • @erikalenoeye8925
    @erikalenoeye8925 ปีที่แล้ว +5

    Fun fact: Jyotirlingam temples in India are built in the structure of the golden ratio, their description is also found in ancient scriptures which are much older than any of the greek mathematians.
    PS, Manchester university conformed that gravity was stolen from an old saint's philosophy by newton. So take everything with a grain of salt

    • @millicentsmallpenny5837
      @millicentsmallpenny5837 2 หลายเดือนก่อน

      Lol. How in the heck does one "steal science"???? No one owns science.
      As Newton himself famously said " I saw what I saw by standing on the shoulders of giants". EVERY advance in knowledge is built upon the knowledge from before
      Newton in no way claimed to have invented the notion of gravity which is simply a name for the whatever causes a dropped rock to fall to the earth. Even today, the best physicists say that we understand little about gravity, but we know a lot about the effects of gravity.
      But there was certainly no one before Newton who even remotely did what Newton did with the subject of the effects of gravity
      So your next assignment would be to find that "old saints" work. Does it resemble, in any way, what Hewton came up with?? We use Newtons work for the ballistics required to confidently set a man on the moon. Could you do that with the old saints work? Do you even begin to understand what the old saint came up with? Newton had to invent a brand new branch of mathematics to even examine what he was learning. So I guess the old saint also invented "calculus", but we have erroneously accredited that to Newton? The poor dude! How totally wronged he was!
      I LOVE this hilarious idea of people "stealing" science from others. Recently I interacted with a lady who claimed that Einsteins first wife came up with special relativity, but Einstein "stole it". Marconi "stole" radio from Tesla. (At any moment that Tesla was doing ANYTHING, there were a dozen scientists around the world doing exactly the same thing). It goes on and on, and gets a bit tiring

  • @ginlix8898
    @ginlix8898 2 ปีที่แล้ว +4582

    damn. jojo got so popular that humans made the golden ratio in real life

    • @Romeo-le2ez
      @Romeo-le2ez 2 ปีที่แล้ว +22

      Luv u ani lr gito

    • @dariuscahyadi9607
      @dariuscahyadi9607 2 ปีที่แล้ว +180

      As a human i can comfirm this

    • @Dexalium
      @Dexalium 2 ปีที่แล้ว +211

      As a confirm i can human this

    • @pikachu-jf2oh
      @pikachu-jf2oh 2 ปีที่แล้ว +113

      a confirm as this can I human.

    • @rymaix
      @rymaix 2 ปีที่แล้ว +60

      as a jojo fan on part 7 i can confirm this

  • @bucci6344
    @bucci6344 2 ปีที่แล้ว +1356

    “This is the Golden Spiral”
    The comment section: *SPEEEEEEEN*

  • @charlesblithfield6182
    @charlesblithfield6182 ปีที่แล้ว +8

    I use PHI in my art cause it makes things just look nice. I just like rules based starting points for creative endeavours and PHi is one of my go to rules.

  • @meeshaz9499
    @meeshaz9499 ปีที่แล้ว +1

    Best video ever!!! Love the way our smart teacher explains all this complicated stuff so awesomely

  • @MrTv-sc5tm
    @MrTv-sc5tm 2 ปีที่แล้ว +1650

    Thanks I needed to learn this, I'm in a horse race and a friend showed me the power this holds and I'm kinds struggling to get the hang of it

    • @arthurrafra9576
      @arthurrafra9576 2 ปีที่แล้ว +188

      Don't worry, you would master it soon enough when you meet the president

    • @joeykitty8678
      @joeykitty8678 ปีที่แล้ว +69

      I somehow misread that as "I'm a horse" and imagined you as the horse in the race... Idk, I guess I blame the creepy pineapple thing at the end of the video for kinda making my imagination run wild :P lol
      And also, good luck ! :)

    • @tammv2306
      @tammv2306 ปีที่แล้ว +8

      @@joeykitty8678 🤣🤣🤣

    • @37rainman
      @37rainman ปีที่แล้ว +12

      There is nothing about this to "get the hang of". It is horse hockey. Bet your friend has lost shitloads of money at horse race betting

    • @fazguy4547
      @fazguy4547 ปีที่แล้ว +38

      For the unbased, jojo

  • @animationspace8550
    @animationspace8550 3 ปีที่แล้ว +4637

    Can we have more of Joe doing parodies of History Channel

    • @besmart
      @besmart  3 ปีที่แล้ว +863

      Sure! Sometimes it just has to be done

    • @Jesse__H
      @Jesse__H 3 ปีที่แล้ว +213

      🖐️🤨🖐️
      A L I E N S

    • @yokokurama5174
      @yokokurama5174 3 ปีที่แล้ว +48

      Finally a comment not made by a mainstream sheep.

    • @abelcheng2073
      @abelcheng2073 3 ปีที่แล้ว +11

      That would be awesome.

    • @TheAmethyz
      @TheAmethyz 3 ปีที่แล้ว +27

      Basically thing that some ppl think proves god actually is yet another evidence for evolution. Time always wins.

  • @mrmaybee
    @mrmaybee ปีที่แล้ว +8

    As a youngster in college, my math prof of my analytic geometry course was amazed to run into me in the library on my way to check out D. W. Thompson's 'On Growth and Form'. It's a true classic; if this kind of thing interests you, it's still my first recommendation.

  • @AbhinavSingh-up7bl
    @AbhinavSingh-up7bl 2 หลายเดือนก่อน +2

    The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala also he mentioned about Pascale Triangle

  • @cliffmatthew8211
    @cliffmatthew8211 3 ปีที่แล้ว +388

    This is spinning my head because it's too bizzare

    • @monkeyboy8569
      @monkeyboy8569 3 ปีที่แล้ว +34

      I see what you did there

    • @wizzotizzo
      @wizzotizzo 2 ปีที่แล้ว +26

      IS THAT A JOJO REFERENCE

    • @MariOmor1
      @MariOmor1 2 ปีที่แล้ว +18

      Finally, a good f**ing comment

    • @WeirdTroll666
      @WeirdTroll666 2 ปีที่แล้ว +3

      lmao those references

  • @yoyojackyo80
    @yoyojackyo80 3 ปีที่แล้ว +1909

    I can’t believe that opening sequence lasted 30 seconds haha. Joe is surprisingly funny

    • @bludfyre
      @bludfyre 3 ปีที่แล้ว +6

      I found Uncle Carl to be funnier

    • @felicityggreene7831
      @felicityggreene7831 3 ปีที่แล้ว +9

      Lol yeah, he had so much fun filming it, he had to show it again at the end! 😂

    • @kevinbuyks6788
      @kevinbuyks6788 3 ปีที่แล้ว +9

      It could have been an intro of History Channel's Ancient Aliens 🤣 Mystery, Conspiracy, lunacy 🤣

    • @marcvanleeuwen5986
      @marcvanleeuwen5986 3 ปีที่แล้ว +29

      Actually 32 seconds, which is almost 34. Aha! a Fibonacci number! Could that be coincidence??

    • @thewriteinpresident
      @thewriteinpresident 3 ปีที่แล้ว

      The ONLY WAY too save lives is to STOP doing {WAR IS MURDER} so Corporations can put a "McDonalds" or Star Bucks or whatever.... For if you allow {G4S] and their U.N. Troops of the USA Common Wealth “BLUE EYES” FLAGS too REPLACE all (World Military) as is the case right now, then these HUNGER GAME of [WAR GAMES] Qballs~ /_\ will never end......., and FREE MASON Lodge Members will keep (murdering) +=+ our nonmason Parents, and our nonmason “Children” in their MADE FOR TV WARS as Entertainment: on this side of FLAT EARTH...
      ugetube.com/watch/a-i-is-making-it-easier-to-kill-you-here-s-how-nyt_TLsMEGwojEBZ8pN.html
      The Rag Tag Rebellion "of and for" OUR WORLD REPUBLIC CONSTITUTION Coalition... The Society of nonmason~ #TheCrewRRR [///|||\\\]
      johnnyexodices.wordpress.com 🎱 Send Crpyto to: @Exodice on #Coinbase, so I can get a Global Citizens PASS PORT to say What Up!!! too all these INTERNATIONALIST!!!

  • @evanwilson5027
    @evanwilson5027 4 หลายเดือนก่อน +1

    Subject I've been curious about for a while now. Thanks for making it easy to learn

  • @BernGoulart
    @BernGoulart 11 หลายเดือนก่อน +7

    I don't think that I could have learned this any way else besides the way this video did, it was brilliant, super fun and as a plus I got a little smarter

  • @luizguilhermedesouzahilara6627
    @luizguilhermedesouzahilara6627 2 ปีที่แล้ว +741

    Listen Joe, here goes our 5th and last lesson:
    The shortest route was a detour. It was the detour that was our shortest path!

    • @albumkosong
      @albumkosong 2 ปีที่แล้ว +50

      Arigatou, Luiz

    • @hyperdemise9752
      @hyperdemise9752 2 ปีที่แล้ว +40

      Chumimin!

    • @urangames457
      @urangames457 2 ปีที่แล้ว +23

      ORAORAORAORAORAORAORAORAORAORAORA

    • @SidewaysTrueno
      @SidewaysTrueno 2 ปีที่แล้ว +11

      @@urangames457 okay this is getting cringe

    • @urangames457
      @urangames457 2 ปีที่แล้ว +14

      @@SidewaysTrueno tell that to Tusk whose line i quoted

  • @Gia1911Logous
    @Gia1911Logous 3 ปีที่แล้ว +313

    You've scrolled down enough to find my comment
    Well done
    Here are some tips:
    1: If you have the will, then do it.
    2: Work those muscles.
    3: Believe in the spin.
    4: Pay your respects. Spin your bullets in the golden ratio.
    5: The shortest route is the detour. It is the detour that will be your shortest path.

    • @tridos2574
      @tridos2574 3 ปีที่แล้ว +33

      Arigato, History Egg.

    • @kratomleaf8937
      @kratomleaf8937 2 ปีที่แล้ว +14

      How do i overcome addiction

    • @tridos2574
      @tridos2574 2 ปีที่แล้ว +14

      @@kratomleaf8937 self-control

    • @k4n4st4
      @k4n4st4 2 ปีที่แล้ว +8

      @@kratomleaf8937 spin

    • @sonickiller2381
      @sonickiller2381 2 ปีที่แล้ว +6

      THANK YOU GYRO

  • @amitdalal
    @amitdalal ปีที่แล้ว +7

    One doesn't always know all the history of something before it gets named. That's especially true in mathematics where the same thing can be discovered independently. For example, what we call the Pythagorean theorem was known over a thousand years before Pythagoras in Old Babylonia, and known in both India and China about the time Pythagoras lived.
    It wasn't well known until recently that the Fibonacci sequence appeared in other places before Leonardo Pisano Fibonacci (1170-1250) included his rabbit problem in his arithmetic book, Liber Abaci, in 1202.
    About 50 years earlier Hemachandra (1089-1173) counted the number of ways a line of poetry can be composed of short syllables of length 1 and long syllables of length 2. A line of length 1 can only be a short syllable; one of length 2 either two shorts or 1 long; etc. The same sequence 1, 2, 3, 5, 8, ... results. Apparently Gopala had studied these numbers in about 1135, other Indian mathematicians as early as the 7th century, and perhaps even Pingala, the author of the Chandaḥśāstra, centuries before that.

  • @holloworacle3140
    @holloworacle3140 ปีที่แล้ว +20

    Will this teach me to shoot my fingernails

  • @MasonGreenWeed
    @MasonGreenWeed 3 ปีที่แล้ว +256

    Lesson 5 Johnny : the shortest route is the detour

    • @Gaia_Gaistar
      @Gaia_Gaistar 3 ปีที่แล้ว +9

      You're making my head spin.

    • @calus_bath_water
      @calus_bath_water 3 ปีที่แล้ว +8

      Arigato gyro

    • @rikschaaf
      @rikschaaf 3 ปีที่แล้ว +3

      Shortest time-wise or distance-wise?

    • @devontekuykendall3565
      @devontekuykendall3565 3 ปีที่แล้ว +3

      Rest well Gyro

    • @MiniArts159
      @MiniArts159 3 ปีที่แล้ว

      Three after the pinned
      our breed is strong

  • @BadassBobY
    @BadassBobY 3 ปีที่แล้ว +207

    Him : Did you pick this one?
    Me : No I didn't-
    Him : *Because this is the most aestheticly pleasing rectangle*
    Me : oh ok sorry 👀

  • @olutosinoseni1952
    @olutosinoseni1952 ปีที่แล้ว +7

    I'm having a hard time finding out if this is a history lesson or a maths one. Very cool!

  • @rbkishere
    @rbkishere 5 หลายเดือนก่อน +2

    when i finished jjba sbr i never thought that there is such a beautiful process behind golden ratio.

  • @morizzd
    @morizzd 3 ปีที่แล้ว +343

    "The world is a messy place" - Looking around my home: wow, how did he know

    • @saiku9081
      @saiku9081 3 ปีที่แล้ว

      👁️👄👁️

    • @deheerschappij
      @deheerschappij 3 ปีที่แล้ว

      how did he know? Phi !!

    • @morizzd
      @morizzd 3 ปีที่แล้ว +1

      @@deheerschappij Oh no, I thought I had a chance to better myself. Damn universe

    • @RudolfJvVuuren
      @RudolfJvVuuren 3 ปีที่แล้ว

      Golden ratio baby!

    • @bestryfulhd2102
      @bestryfulhd2102 3 ปีที่แล้ว

      thats why we have cancer , so we thank God for our not-messy bodies ,, if there was no cancer in people we would think our bodies are messy .
      this youtuber is clearly using science to tell us things are messy so we dont study it ,
      but when we know that things are well designed we will try to discover more ,, and everything scientist came to discover have seen the beauty of its design , and that if it moves a little bet from what its designed it get destructed.

  • @shonenchef7249
    @shonenchef7249 3 ปีที่แล้ว +1331

    This video is gonna blow up after Jojo part 7 is animated

    • @roserose109
      @roserose109 3 ปีที่แล้ว +56

      facts. that's why I'm here loll

    • @lukedoglt
      @lukedoglt 3 ปีที่แล้ว +12

      Yep

    • @nothajzl
      @nothajzl 3 ปีที่แล้ว +17

      Can you elaborate?

    • @hajar5595
      @hajar5595 3 ปีที่แล้ว +2

      lol

    • @logan5690
      @logan5690 3 ปีที่แล้ว +2

      joj

  • @morgangreene19
    @morgangreene19 11 หลายเดือนก่อน +6

    I think we just have a compulsive need to fit a chaotic world into a rigid structure. We often unknowingly attempt make sense of things that can’t make sense nature. Like images in a cloud.

  • @cgthayer
    @cgthayer 2 หลายเดือนก่อน +1

    Stephen Wolfram of Mathematica has discussed this quite a bit: how the universe can start from such simple computation. I think what's really appealing here is that this is an interesting, seeming complicated number, and natural phenomenon that comes from very simple rules.

  • @gentlemagala3829
    @gentlemagala3829 2 ปีที่แล้ว +295

    "Spin your nails in the golden ratio!... then you should have the ability to harness the power of infinity"

    • @valiroime
      @valiroime 2 ปีที่แล้ว +7

      _To infinity and beyond!_

    • @angychillface6146
      @angychillface6146 2 ปีที่แล้ว +10

      Tusku acto 2

    • @funnyvalentine5205
      @funnyvalentine5205 ปีที่แล้ว +3

      D4c!!

    • @xs6819
      @xs6819 ปีที่แล้ว +2

      You mean the infinity stones?

    • @b1rd52
      @b1rd52 ปีที่แล้ว +1

      nature is a JOJOOO REFERENCE

  • @henrynewgate1775
    @henrynewgate1775 2 ปีที่แล้ว +629

    Interesting how the only thing I knew about the golden rectangle before watching this video was Steel Ball Run's infinite spin

    • @Shawarma101
      @Shawarma101 2 ปีที่แล้ว +43

      me too and tbh I never heard of Golden Rectangle until I read part7 I am not even joking I thought it was a manga thing and it didn't exist in real life :')

    • @saimongabamoguis4512
      @saimongabamoguis4512 2 ปีที่แล้ว +8

      Same

    • @echmaster6029
      @echmaster6029 2 ปีที่แล้ว +2

      Same

  • @iciu7712
    @iciu7712 ปีที่แล้ว +6

    All I can hear is Gyro Zeppeli singing PIZZA MOTZARELLA

  • @thomasolson7447
    @thomasolson7447 ปีที่แล้ว +2

    All these types of sequences c*a[n]=b*a[n-1]+c*a[n-2] have a relationship with quadratics. The cool thing is, if you do algebra you can get values (cos(pi/n)...). The interesting part about this is at n>6. The values start becoming complex. Not all of them are complex. There is a composite number type thing going on. Anyway, this is the part where I remind you that there are no general solutions after fourth degree polynomials. There are methods that are congruent with these algebra sequences, but there is no general solution for all polynomials.

  • @jojom38
    @jojom38 3 ปีที่แล้ว +455

    I thought I would only watch it’s okay to be smart in school but now I’m using it to understand how a manga character works

    • @xerotheprotogen4281
      @xerotheprotogen4281 2 ปีที่แล้ว +18

      i see you are a man of culture

    • @xplitegaming8295
      @xplitegaming8295 2 ปีที่แล้ว +4

      Read the maga

    • @Shawarma101
      @Shawarma101 2 ปีที่แล้ว +7

      not me who didn't know what a golden Ratio is until I read part 7 :')

    • @flamingaish
      @flamingaish 2 ปีที่แล้ว

      wait why

    • @jojom38
      @jojom38 2 ปีที่แล้ว

      @@flamingaish jojo reference

  • @jakobsonprofaned5168
    @jakobsonprofaned5168 3 ปีที่แล้ว +550

    "Our brain loves patterns, for example if we remember the position of a mouth, nose and eyes we later see faces everywhere"
    Amogus

    • @gifzwerk
      @gifzwerk 3 ปีที่แล้ว +54

      Get out of my head

    • @waspoppin4784
      @waspoppin4784 3 ปีที่แล้ว +21

      S I L E N C E

    • @jesseklaver8905
      @jesseklaver8905 3 ปีที่แล้ว +17

      Aaahhhhhhhh ahhhhhhhhh,get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, get out of my head, grabs a 12 gauge shotgun, ends it all (like a boss)😎

    • @lebaeuhjunkyard4731
      @lebaeuhjunkyard4731 3 ปีที่แล้ว +14

      📮

    • @user-yp5ko8us9j
      @user-yp5ko8us9j 3 ปีที่แล้ว +10

      Disgusting. Vile. Bring back tradition, reject modernity. Amogus shall fall, and Illuminati shall rise once more!

  • @ryanreedgibson
    @ryanreedgibson 3 หลายเดือนก่อน

    This was a really great video! I'm so glad I stayed until the end!

  • @bojackhorsingaround
    @bojackhorsingaround 11 หลายเดือนก่อน

    I love your channel, often learn a lot.
    Wonderful film. Thank you!

  • @samyakbankar5022
    @samyakbankar5022 ปีที่แล้ว +1114

    ADMIT IT !
    ADMIT THAT STEEL BALL RUN IS YOUR FAV PART

    • @weebinit8011
      @weebinit8011 ปีที่แล้ว +27

      still havent read it, im gonna get the first 3 volumes in cristmas!!!

    • @lemonice
      @lemonice ปีที่แล้ว +55

      me when i falled off my horse because golden ratio is actually not everywhere in nature

    • @Remspamton
      @Remspamton ปีที่แล้ว +8

      stone ocean is mine

    • @ronniescrazyadventures2478
      @ronniescrazyadventures2478 ปีที่แล้ว +7

      Yes

    • @brionesjohnmatthewc.2580
      @brionesjohnmatthewc.2580 ปีที่แล้ว +5

      Hell yeah

  • @weroleoify
    @weroleoify 3 ปีที่แล้ว +352

    I love PBS and never touched one of the math videos until now. This guy right here is the proof to "you don't hate math/are bad at math, you just got taught the wrong way".

    • @gyozakeynsianism
      @gyozakeynsianism 3 ปีที่แล้ว +15

      Learning math takes hard work and patience. A bad teacher can make it harder, but nothing makes up for hard work and patience.

    • @legrandliseurtri7495
      @legrandliseurtri7495 3 ปีที่แล้ว +12

      I mean, I wouldn't say you really learn anything about math here. It's a good, concise explanation of the golden ratio that debunks some myths about it, but the math is used is very simple, and I say that as someone who hates math.

    • @BygoneT
      @BygoneT 2 ปีที่แล้ว +11

      Fundamentally you're not learning mathematics per se here. You're not gonna be able to understand most maths any better
      I gave up on maths of my own will because it was sucking up too much time, that's literally what everyone does to anything they don't like. The only reason anyone is bad at anything is non engagement

    • @tylermcnally8232
      @tylermcnally8232 2 ปีที่แล้ว +4

      Everyone has the same building blocks in their brain and can all learn math to the same degree, it boils down to if your interested or not.

    • @DrWhom
      @DrWhom ปีที่แล้ว

      @@gyozakeynsianism and that is the truth

  • @manog8713
    @manog8713 10 หลายเดือนก่อน +5

    Fantastic, open mided and realistic account of the hype of Golden Ratio. Well done.

    • @jacobtaylor8250
      @jacobtaylor8250 4 หลายเดือนก่อน +1

      I wonder why gravity causes the spiral of galaxys to be the same as these plants

  • @matthew_thefallen
    @matthew_thefallen 3 ปีที่แล้ว +482

    "Ape brain like pretty pattern"
    - Joe

    • @FairMiles
      @FairMiles 3 ปีที่แล้ว +14

      And THAT's the true monkey puzzle!

    • @liamjedi5341
      @liamjedi5341 3 ปีที่แล้ว

      i broke the funny number likes

    • @ZentaBon
      @ZentaBon 3 ปีที่แล้ว

      @@liamjedi5341 no.

    • @hollanderson
      @hollanderson 3 ปีที่แล้ว +1

      I lik preti pattn :3

    • @thenasadude6878
      @thenasadude6878 3 ปีที่แล้ว +6

      Where banana ❌
      Where pretty pattern ✅

  • @cyanide6954
    @cyanide6954 2 ปีที่แล้ว +674

    I love how the comment section just evolved into jojo. Everything is related to jojo nowadays

    • @jtg7496
      @jtg7496 2 ปีที่แล้ว +44

      everything is golden ratio
      everything is jojo reference
      golden ratio is jojo reference

    • @cyanide6954
      @cyanide6954 2 ปีที่แล้ว +11

      @@jtg7496 yes

    • @Donneman
      @Donneman 2 ปีที่แล้ว +15

      everything is a jojo reference

    • @Stickman_Productions
      @Stickman_Productions 2 ปีที่แล้ว +9

      Everything is a jojo siwa reference because things exist in the show and things exist out of the show

    • @thisisrex1676
      @thisisrex1676 2 ปีที่แล้ว +6

      @@Stickman_Productions why does this make me physically recoil?

  • @imnotaprofit1648
    @imnotaprofit1648 8 หลายเดือนก่อน +2

    I’m definitely gonna win the steel ball run now thanks dude

  • @wendellwiggins3776
    @wendellwiggins3776 9 หลายเดือนก่อน +1

    what even more cool is that the size of the leaves as they grow up and out are PHI in size to the preceding leaf. This idea of Nature is to be as proficient as possible while exerting the least amount of energy so though not everything is exactly Phi, Natures strives to be. !

  • @llgxz
    @llgxz 2 ปีที่แล้ว +282

    Literally anything: **exists**
    JoJo fans: "It's free real estate."

    • @aidanwoodward3975
      @aidanwoodward3975 2 ปีที่แล้ว

      I think you fortnite because they steal *EVERYTHING*

    • @dragonic_ragecore
      @dragonic_ragecore 2 ปีที่แล้ว +4

      I agree man, I'm tired of anime fans screaming in my ear.

    • @gusty7153
      @gusty7153 2 ปีที่แล้ว +9

      it's the golden anime

    • @angychillface6146
      @angychillface6146 2 ปีที่แล้ว +6

      I mean this is true cuz this is free real estate

    • @Hrxxiti
      @Hrxxiti 2 ปีที่แล้ว +5

      @@dragonic_ragecore lol, you'll never get rid of us

  • @botigamer9011
    @botigamer9011 3 ปีที่แล้ว +253

    TL:DR
    You are increasingly likely to find a golden ratio in things, if you increase the number of things you measure, and you increase the allowable error bars. This is true for any ratio

    • @gilgabro420
      @gilgabro420 3 ปีที่แล้ว +3

      What really bothered me is that he did not use averages.

    • @domhamai
      @domhamai 3 ปีที่แล้ว +17

      The golden ratio is a 'beautiful' proportion though, and just because we find stretched representations does not take away from why it is so intriguing in the first place.

    • @shoam2103
      @shoam2103 3 ปีที่แล้ว +9

      Good tldr! In some cases, yes. In other cases, it's the most appropriate ratio for the situation. Similar to how e is the most natural exponential.

    • @p.9227
      @p.9227 3 ปีที่แล้ว +13

      @@domhamai But many other ratios can be intriguing and beautiful too, like pi. It all depends on your perspective.

    • @domhamai
      @domhamai 3 ปีที่แล้ว +3

      @@p.9227 absolutely!

  • @1959Edsel
    @1959Edsel 8 หลายเดือนก่อน +4

    The rhombic triacontahedron (used to make the seldom-used 30-sided die, among other things) has golden rhombuses as its faces. The diagonals of each face are in the golden ratio to each other. I find the 30-sided shape to be quite aesthetically pleasing.

  • @Failzz8
    @Failzz8 ปีที่แล้ว +2

    Now I'm curious, what WOULD the distribution look like if a ton of people were presented a bunch of rectangles, like at the beginning, and told to pick their favorite?

  • @Elijah_Yinkledoink
    @Elijah_Yinkledoink 2 ปีที่แล้ว +860

    The Fibonacci sequence and the golden ratio are a power couple.

  • @glacierwolf2155
    @glacierwolf2155 3 ปีที่แล้ว +384

    The golden ratio: _Exists._
    The JoJo fanbase: "Hippity hoppity, this mathematical concept is our property!"

    • @giftedguitarist161
      @giftedguitarist161 3 ปีที่แล้ว +16

      Thank you so much, Now I know why my JoJo viewing friend mentioned this concept and was adamant about talking about it. Seems like my hesitation and skepticism were somewhat warranted.

    • @taterds7858
      @taterds7858 3 ปีที่แล้ว +13

      @Captain Bruh hey man thats kinda rude

    • @Kongongongg
      @Kongongongg 3 ปีที่แล้ว +13

      @Captain Bruh no

    • @user-ee8br7jp7b
      @user-ee8br7jp7b 3 ปีที่แล้ว +6

      @Captain Bruh homestuck is 10x worse... believe me

    • @spindash64
      @spindash64 3 ปีที่แล้ว +22

      @Captain Bruh
      If they’re capable of ruining the music for you, then did you really care about the music in the first place?

  • @huyked
    @huyked ปีที่แล้ว

    This episode went by really fast. Very interesting stuff I didn't know, even if I have heard of it before.

  • @mikemccartneyable
    @mikemccartneyable 8 หลายเดือนก่อน

    Very good video. Small correction, the golden angle is 360 * 1/(Phi)^2

  • @KoeSeer
    @KoeSeer 3 ปีที่แล้ว +1231

    I love how this video became jojo fanbase gathering spot.

    • @amaruifayemi2450
      @amaruifayemi2450 2 ปีที่แล้ว +34

      gyro is the only reason I clicked on the video

    • @officialgaming9203
      @officialgaming9203 2 ปีที่แล้ว +1

      @@loturzelrestaurant gaming

    • @loturzelrestaurant
      @loturzelrestaurant 2 ปีที่แล้ว

      @@officialgaming9203 Yes?
      The user 'Gaming', will 'help'?
      Yes?

    • @loturzelrestaurant
      @loturzelrestaurant 2 ปีที่แล้ว

      @@officialgaming9203 Gaming will kick some 'Karens', if he knows that term?
      Battle some Sexists and kick them off YT?
      Which would be quite cool?

    • @officialgaming9203
      @officialgaming9203 2 ปีที่แล้ว

      @@loturzelrestaurant gaming

  • @sibil-khan621
    @sibil-khan621 2 ปีที่แล้ว +155

    Now i can spin my steel balls on my horse and use the infinity

    • @Rhakjellg
      @Rhakjellg 2 ปีที่แล้ว +3

      can you elaborate?

    • @Shawarma101
      @Shawarma101 2 ปีที่แล้ว +17

      I did it! but now my friend with a ball made out of steel with a horse who makes really bad jokes died :(

    • @ChiknLorde
      @ChiknLorde 2 ปีที่แล้ว +10

      @@Shawarma101 sayonara gyro

    • @angychillface6146
      @angychillface6146 2 ปีที่แล้ว

      Same

    • @angychillface6146
      @angychillface6146 2 ปีที่แล้ว

      Funni spin

  • @roger7341
    @roger7341 8 หลายเดือนก่อน

    Historically τ and ρ were used to represent φ and 1/φ. I like that better because τ ρ = 1 and τ - ρ = 1, and all the identities are so much easier to derive.

  • @MountainFisher
    @MountainFisher หลายเดือนก่อน

    I remember as an engineering student before the magnificent invention of the Scientific Calculator by Hewlett Packard in the early 1970s doing math with a slide rule. Hard to believe the SR-71 was made before computers were as they are now, let alone calculators. Random processes do not pick the most efficient forms.

  • @akairyu1291
    @akairyu1291 3 ปีที่แล้ว +203

    Gyro Zeppeli aproves this video

    • @tinhornname4117
      @tinhornname4117 3 ปีที่แล้ว +17

      Arigato, Gyro

    • @greenman784
      @greenman784 3 ปีที่แล้ว +7

      @@tinhornname4117 He isn't gonna hear that.
      Oh wait, he can't.

    • @zen3881
      @zen3881 3 ปีที่แล้ว +4

      lesson 5 😔✊

    • @funnyvalentine1592
      @funnyvalentine1592 3 ปีที่แล้ว +5

      I dont

    • @kocheng4603
      @kocheng4603 3 ปีที่แล้ว +1

      @@funnyvalentine1592 ow

  • @tommyvictorbuch6960
    @tommyvictorbuch6960 2 ปีที่แล้ว +1092

    I find this extremely fascinating. As a photographer, I use the Golden Ratio all the time. It simply makes pictures better, no matter the genre.

    • @aur9035
      @aur9035 2 ปีที่แล้ว +32

      How. How. how.

    • @theufakefe
      @theufakefe 2 ปีที่แล้ว +4

      So awesome!

    • @Michael-dx8qz
      @Michael-dx8qz 2 ปีที่แล้ว +62

      @@aur9035 change the rules of third to golden ratio

    • @shayanaman995
      @shayanaman995 2 ปีที่แล้ว +62

      mans mastered spin

    • @houdinididiit
      @houdinididiit 2 ปีที่แล้ว +84

      @@aur9035 In most photo editing programs you can place a grid over your photo as you are cropping it. Well, the grid that overlays can either be - boxes as thirds or - you have the option of overlaying a Golden Ratio Spiral. I use it myself to size things up. I assume that's what be spoken of here. Hope that helps ✌️

  • @ChasOnErie
    @ChasOnErie 2 หลายเดือนก่อน

    I had a design problem for the compression of a rubber part and a metal shell length … in a since of frustration I applied the golden ratio to the design dimension …. DESIGN WAS VERY SUCCESSFUL !!!!

  • @syriuszb8611
    @syriuszb8611 ปีที่แล้ว

    While I didn't pick exactly the golden rectangle, I thought about the ones that are close in size to it, just a little longer. And what's a little longer than golden rectangle? My screens, they are 16:9. So probably just because I see them all the time. I wonder however, if it also isn't connected to our vision aspect ratio.
    I think it's (and ratios close enough) common for a reason, there are useful properties in them, just like you showed with leafs. But pi or tau is even more common ratio, but we take it as granted.

  • @why_though
    @why_though 3 ปีที่แล้ว +83

    "I don't know who closely studies artichokes"
    At that exact moment something died inside every food scientist watching this video.

  • @lenn939
    @lenn939 3 ปีที่แล้ว +130

    TIL why “irrational numbers” are called “irrational.” I always thought it was a strange name but it makes a lot more sense now that I know it comes from “ratio.”

    • @sarathchandran3503
      @sarathchandran3503 3 ปีที่แล้ว

      th-cam.com/video/DIrvM1gcnPU/w-d-xo.html
      Golden ratio
      More detailed explanation

    • @loturzelrestaurant
      @loturzelrestaurant 2 ปีที่แล้ว +1

      Aloha.
      I thought this channel's comment-section/s, if any place,
      would have smarteristic and smarttastic people.
      So i wanted to ask your opinion of a Project of mine,
      trying to help youtube help itself - getting it to become less
      of what can only be described as 'Messy' without wanting
      to use hard swearing...
      P0rn, Racism, Sexism, Scam, Spam-Bots, P0rn-Spam-Bots
      and much more. Oh, and of course the new Kid in Town:
      The Covid-Denier/Mask-Hater.
      All of them are non-subtle (some more than others)
      and therefore easy to find.
      I used the reportbutton as it was originally intended;
      not as Cancel-Culture but to help.
      Just this week, i got 1 Covid-Denier-Channel (yes, the entire thing,
      not just 1 video) and 2 Open Racists (Users, not TH-camrs) removed.
      And this feels good.
      No, its not a 'Wonder-Miracle-Solution!!', but who needs that? Do you need that?
      Yet, i feel confident about this enough to ask: Wanna join the Fun? The helping?
      Both?
      Sorry for the long comment and sorry there is no
      Miracle-Hyper-Super-Solution, but hey, its cost-free and
      totally-your-own-time-schedule, as well as just plain fun,
      so i hope such Package is good enough for you.
      Smart is in this channel's name, after all, so i hope you at least
      consider helping TH-cam and the Internet... cause it sure as fluff could
      need the help, tbh...

    • @loturzelrestaurant
      @loturzelrestaurant 2 ปีที่แล้ว +2

      @@Ani-yt4nf ?
      What?
      ?

    • @exposinghypocrites4827
      @exposinghypocrites4827 2 ปีที่แล้ว

      @@loturzelrestaurant "The Covid-Denier/Mask-Hater." You're a brain washed dunce 🙄

    • @loturzelrestaurant
      @loturzelrestaurant 2 ปีที่แล้ว +2

      @@exposinghypocrites4827 Your comment a week ago was pretty dumb.
      Not even sure how, but calling others brain washed is 'usually' dumb, so thats that.
      What was i brain-washed about, mate? Knowing that Vaccines are good and everyone should take them? Is that what i'm washed to believe?
      ...Oh buddy...

  • @kyojima7190
    @kyojima7190 ปีที่แล้ว +1

    Thanks to "Logarithmic Spiral" shape of the human inner-ear, we feel harmonics in music as we know it: some combinations of sounds (wavelengths) are pleasant to our ear, and some are not, so we feel disharmony. Imagine we had the linear (chromatic) ear, and all the music would sound completely different to us, with linear specter.

  • @danknfrshtv
    @danknfrshtv 5 หลายเดือนก่อน +1

    The "phi-ncone/phi-napple" gag earned a new sub 😂

  • @TheKopakah
    @TheKopakah 3 ปีที่แล้ว +110

    there must be a cool/perfect way to get the "golden angle" on paper besides eyeballing it with your protractor

    • @besmart
      @besmart  3 ปีที่แล้ว +75

      There is! You can divide a line into the golden ratio segments with just a ruler and a compass: www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi2DGeomTrig.html

    • @mehmeh3894
      @mehmeh3894 3 ปีที่แล้ว +4

      Step 1: Draw a pineapple

    • @pg9193
      @pg9193 3 ปีที่แล้ว +3

      if you're using a protractor, then you're probably not eyeballing it, no?

    • @a2pabmb2
      @a2pabmb2 3 ปีที่แล้ว +1

      @@pg9193 You're eyeballing an irrational interval on an integer-denoted metric, so... yeah. You are.

    • @pg9193
      @pg9193 3 ปีที่แล้ว

      @@a2pabmb2 good point, I see what you mean and agree. I guess there's no way of not eyeballing it, unless you're using a machine/computer

  • @L4PLAC3_
    @L4PLAC3_ 3 ปีที่แล้ว +123

    thirty-five minutes ago, this was posted
    already seven thousand views
    im so glad im not the only one learning for fun

  • @nikolaysamusik3149
    @nikolaysamusik3149 4 หลายเดือนก่อน +1

    Great breakdown~ there is one thing however that you're missing ~ which is why our brains actually like spirals (and not just our brains, apparently, octopedes and pufferfish build spiral-like sandcastles to attract females) ~ which has to do with the way our primary visual cortex maps to our retina (which is, in essence, logarithmic) which means that spirals actually produce symmetric self-reinforcing waves of stimulation inside our V1 cortex.

  • @V8StealthBeetle
    @V8StealthBeetle 4 หลายเดือนก่อน +1

    loved the content but enjoyed your delivery more... first time I've seen your channel... I'll be watching more

  • @aarav_sharma
    @aarav_sharma 3 ปีที่แล้ว +189

    Its official now "Jo"e has lost "it" And its "perfect"
    -Jo Mama

  • @som3346
    @som3346 3 ปีที่แล้ว +427

    Jojo fans already know this
    The golden spin

  • @dichterwald91
    @dichterwald91 8 หลายเดือนก่อน +1

    My friends argued with me when I tried say anything against this number. Thanks for criticism I was looking for!

  • @basti5263
    @basti5263 3 หลายเดือนก่อน

    That intro hit me so hard, i was expecting the line: 'the golden ratio strikes back!'

  • @submarinemagnet7965
    @submarinemagnet7965 3 ปีที่แล้ว +58

    That part where he made us choose a rectangle... I feel the pain of snapping those in place where it's perfectly aligned AND it felt like it was a magic trick that he knew what I picked

    • @inr9751
      @inr9751 3 ปีที่แล้ว +4

      I had no single idea what to pick, lol.

  • @AverytheCubanAmerican
    @AverytheCubanAmerican 3 ปีที่แล้ว +257

    You know what's also golden?
    This channel

    • @KaasIsLekker
      @KaasIsLekker 3 ปีที่แล้ว +2

      You're channel ;)

    • @cookiecrumbler2345
      @cookiecrumbler2345 3 ปีที่แล้ว +11

      @@KaasIsLekker y o u a r e c h a n n e l

    • @FenrizNNN
      @FenrizNNN 3 ปีที่แล้ว +9

      How can people still mess "you're" with "your"?

    • @KaasIsLekker
      @KaasIsLekker 3 ปีที่แล้ว +3

      @@FenrizNNN people can still mess with auto correct :) I will leave it like that but thanks for the tip :D

    • @FizzyToni
      @FizzyToni 3 ปีที่แล้ว

      Shower :)

  • @lairbox
    @lairbox ปีที่แล้ว +2

    I must add one comment over the main reason over the plants having a spiral that match the Fibonacci rule: many plants have evolved like that because they feed mainly with water: H2O. This formula of water promotes the golden ratio so plants evolve into a shape to literally grab as much water as they can. This is the real main reason why we see this ratio in many places including us. But as You said it's promoted not roughly precise.

  • @aner_bda
    @aner_bda 3 ปีที่แล้ว +63

    It always tickles me that the golden ratio is actually in fact an irrational number. It's like we can never have things just perfectly.

    • @putraduha3176
      @putraduha3176 3 ปีที่แล้ว +12

      Maybe its the human construct of number thats wrong

    • @marcscattolin1554
      @marcscattolin1554 3 ปีที่แล้ว +2

      There are loads of irrational numbers, that doesn't make phi that special.

  • @badlydrawnturtle8484
    @badlydrawnturtle8484 3 ปีที่แล้ว +118

    "Which of these rectangles is the most balanced, the most beautiful?"
    Anybody who didn't pick the square is objectively wrong.

    • @pedroivog.s.6870
      @pedroivog.s.6870 3 ปีที่แล้ว +2

      Makes sense

    • @neurofiedyamato8763
      @neurofiedyamato8763 3 ปีที่แล้ว +23

      "most *balanced* "
      I mean... you aren't wrong. Square IS the most balanced...
      As all things should be.

    • @badlydrawnturtle8484
      @badlydrawnturtle8484 3 ปีที่แล้ว +14

      @@nadermunye4879
      By standard definitions, yes it is.

    • @tripedal2063
      @tripedal2063 2 ปีที่แล้ว +2

      @@nadermunye4879 It is, go to school

    • @a.lexandra03
      @a.lexandra03 2 ปีที่แล้ว +1

      @@nadermunye4879 A rectangle is not a square, but a square is a rectangle. A rectangle needs four 90deg lines to close, while a square needs four equal 90 deg lines

  • @DJDodson2
    @DJDodson2 2 หลายเดือนก่อน

    My love of cruciferous vegetables aside:
    The sequence of metallic ratios might themselves be observed in Fibonacci sequence.
    Where Phi, the Golden Ratio is n=1 and
    Phi = (1 + |√5|) / 2
    Generally, the n-th metallic ratio = (n + |√(n² + 4)|) / 2
    Continuing the Silver Ratio n=2 and the Bronze Ratio n=3 and so forth.
    (See also the Golden Circle and the Golden Ellipse (i.e., pi*phi).)

  • @shaggynoir344
    @shaggynoir344 3 ปีที่แล้ว +320

    Finally I can spin a ball

    • @nreet
      @nreet 3 ปีที่แล้ว +8

      JOJO

    • @nreet
      @nreet 3 ปีที่แล้ว +3

      Part 7

    • @oceanman2641
      @oceanman2641 3 ปีที่แล้ว +5

      Steel ball run

    • @ultimor1183
      @ultimor1183 3 ปีที่แล้ว +7

      Arigato, Gyro.

    • @sreejasrivaram8250
      @sreejasrivaram8250 3 ปีที่แล้ว +5

      thank god.. I was looking for this!

  • @lyz7482
    @lyz7482 3 ปีที่แล้ว +383

    Me after finishing JoJo's part 7 yesterday: hmm interesting

    • @StupidestCommentAward
      @StupidestCommentAward 3 ปีที่แล้ว +21

      “Arigato Gyro”

    • @PlexorF1
      @PlexorF1 3 ปีที่แล้ว

      😳

    • @cherrydragon3120
      @cherrydragon3120 3 ปีที่แล้ว +1

      Whut¿

    • @rayz1685
      @rayz1685 3 ปีที่แล้ว +1

      You gonna start part 8?

    • @Gia1911Logous
      @Gia1911Logous 3 ปีที่แล้ว

      ​@@StupidestCommentAward This truly... truly... was a long detour
      Thank you
      Gyro
      I don't know what else to say

  • @mr.pavone9719
    @mr.pavone9719 5 หลายเดือนก่อน +1

    Every time I've read about the Fibonacci sequence in plants it was always stated as fact and never explained.
    Thanks for finally explaining it.

  • @AlexandarHullRichter
    @AlexandarHullRichter 2 หลายเดือนก่อน

    The DeLorean definitely belongs to somebody with safety on their mind. The third brake light was not required until 2 years after DeLorean cars went out of production. Having the high mount brake can only be a custom modification, and it's the sort of thing that improves safety and does not make the car look nicer (or make it look worse; it doesn't hurt, but it isn't a visual improvement to most people either).

  • @rocacoshi
    @rocacoshi 2 ปีที่แล้ว +517

    It’s so crazy, last time I did acid anywhere I looked I couldn’t stop noticing the golden spiral, it was amazing!

    • @craigford33
      @craigford33 2 ปีที่แล้ว +7

      Saaaaame!

    • @cosmicraysshotsintothelight
      @cosmicraysshotsintothelight 2 ปีที่แล้ว +1

      I was not on acid when I did this, but maybe got this good from doing it way back in the seventies... th-cam.com/video/csmkuwpV7ic/w-d-xo.html

    • @richardconner5880
      @richardconner5880 2 ปีที่แล้ว +12

      You saw the torus🌀 in your crown chakra,you could have followed it into GOD.
      .Interestingly enough,in PMH Atwaters book about her NDE experience she saw 2 huge tornadoes 🌪one on top of the other in open space.A they spun,she saw them breathe in & out,than saw in the top tornadoe her future lives,in the bottom her past lives.In the middle where the spouts almost touched she saw brilliant flashes of light,That was GOD.
      That sounds like a matter-antimatter model for the universe,breathing out,expanding...than inhaling, contracting,Whose origins were created by GOD,AN IMPLOSION OF DARK MATTER,Using the sound-OM to start the process.

    • @Sorter_123
      @Sorter_123 2 ปีที่แล้ว +61

      @@richardconner5880 WTF !!!!! Are you possessed ?

    • @Neptune_symbol0273
      @Neptune_symbol0273 2 ปีที่แล้ว +1

      @@richardconner5880 you’re the type of person no one what’s to get high with.

  • @Lalarpistakov
    @Lalarpistakov 3 ปีที่แล้ว +432

    GYRO FUKCING ZEPELLI

    • @joshuhigashikata9201
      @joshuhigashikata9201 3 ปีที่แล้ว +27

      Pizza mozzarella
      Pizza mozzarella
      Rella rella rella rella rella rella

    • @euryptrey
      @euryptrey 2 ปีที่แล้ว +8

      @@joshuhigashikata9201 Gorgonzola
      Gorgonzola
      Zola zola zola zola zola

    • @Enteii3exp
      @Enteii3exp 2 ปีที่แล้ว

      Yes

    • @Lalarpistakov
      @Lalarpistakov 2 ปีที่แล้ว

      @@CreatorsHubCreates No i am a male thank you.

    • @samuraibobafett1118
      @samuraibobafett1118 2 ปีที่แล้ว +1

      s p i n