The Golden Ratio: Is It Myth or Math?

7 499 Shikime 763 mijë

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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
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  1. It's Okay To Be Smart
    It's Okay To Be Smart
    2 muaj më parë

    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

    1. Charles J Gartner
      Charles J Gartner
      Ditë më parë

      @ffggddss I said digital numbers. there's a difference between digital and analog. I could write 1.33333333333 etc forever, or I could write 1/3. Pi or any other irrational number could be written in a way that humans aren't writing it in. So it seems "magical" or "mystical" to some people.

    2. Infamous Grizzly
      Infamous Grizzly
      Ditë më parë

      @Bernardo Alcantara Jr. The vax is bs its a circuis

    3. Infamous Grizzly
      Infamous Grizzly
      Ditë më parë

      @Love Dop 777

    4. Infamous Grizzly
      Infamous Grizzly
      Ditë më parë

      @Charles J Gartner lmao tell that to all of the repeating patterns we see EVERYWHERE. It is no random chance or accident. It's an artist's signature.

    5. DIO on JoeJoe Crack
      DIO on JoeJoe Crack
      3 ditë më parë

      @Yoko kurama Aye Stfu. The anime community is worse. And calling our anime garbage will be the last words you'll ever speak

  2. Kaws Expo
    Kaws Expo
    3 orë më parë

    The nonstop drama intermittently chop because partridge intuitively repair a a unused trade. cruel, melted italy

  3. ss
    4 orë më parë

    I didn't realise the obsession with the "Golden Ratio" is all because of a Hollywood movie.

  4. Adolfin Kitler
    Adolfin Kitler
    6 orë më parë

    I know it's meth

  5. Michael Lynch
    Michael Lynch
    10 orë më parë

    So you explained why the plant leaf turns cant be an rational number, but you didnt say why 1/Φ is better than 1/π or 1/e, which I think it would have been good to address.

    1. Michael Lynch
      Michael Lynch
      10 orë më parë

      My guess for why 1/Φ is best is because Φ is the number which is the least well approximated by rationals, meaning that it stays the furthest from overlapping on each turn

  6. badian ou812
    badian ou812
    15 orë më parë

    Next, Fun with Flags..

  7. Artur H
    Artur H
    18 orë më parë


  8. Artur H
    Artur H
    18 orë më parë


  9. AJ Nasreddin
    AJ Nasreddin
    19 orë më parë

    13/8 is not phi, so what's the point of all the plants?

  10. 13 13
    13 13
    Ditë më parë

    What he meant by "the golden ration " The decimal numbers goes forever without repeating? As if pause at 1.56 the number 62 release several times? Thanks in advance to who can clear this for me.

  11. hazbaska1
    Ditë më parë

    I often think of Junji Ito's spiral complex that he creates in the town. tha'ts like people to the extreme of trying to take patterns lol

  12. hazbaska1
    Ditë më parë

    that Drake meme had me cringing HARD lol

  13. hazbaska1
    Ditë më parë

    I love seeing Hyakujuu Goraion (Voltron) in the back!!

  14. saurabh dangale
    saurabh dangale
    Ditë më parë

    did anyone noticed the rectangle in the same column of golden ratio 2nd from top is same?

  15. joja roka
    joja roka
    Ditë më parë

    I like how he just casually becomes a pineapple at the end

  16. Totallynot DIO
    Totallynot DIO
    Ditë më parë

    where balls and lesson 5?

  17. Han Gebza
    Han Gebza
    Ditë më parë

    I prefer my rectangles in a 1:2 ratio. Am I strange now?

  18. Brauggi the bold
    Brauggi the bold
    Ditë më parë

    5:31 That is not so weird though once you realize it's just an application of Vieta's formulas.

  19. batmanfanforever08
    Ditë më parë

    I believe that phi is one of the signatures that God put into the universe. It is okay that it doesn't show up everywhere it is claimed be shown up, but at least there is some truth to the myth. Besides God doesn't have to sign everything He creates for it to be something He created, nor does He have to use the same exact signature every single time either. God is weird like that. God designed us to be attracted to things that He likes. We find the things that God likes to be beautiful and phi is one of the things He likes, so He put it in a lot of spots. I mean it isn't literally everywhere, but it is in a lot of spots. That's not by coincidence, that is by design -- God's design. I liked this video.

  20. sylvester adeniyi
    sylvester adeniyi
    Ditë më parë


  21. Atharv Sharma
    Atharv Sharma
    2 ditë më parë

    Monkey puzzles are truly a monkey's puzzle

  22. E5Charlie2531
    2 ditë më parë

    Have you heard of the strange mathematical act called "Golden shower"?

  23. Gabriel
    2 ditë më parë

    Ape brain likes patterns:) hahaha, nailed it... Humans:)

  24. Rafeeky
    2 ditë më parë

    *When you favorite a video 5 seconds into the intro then 10 seconds later you wish that you could have favorited it again.*

  25. Dell Toro
    Dell Toro
    2 ditë më parë

    Fractals thinking about fractals

  26. The Raging Gamer on PS4
    The Raging Gamer on PS4
    3 ditë më parë

    My favourite ratio is 36 34 36

  27. Tubagus Iqbal
    Tubagus Iqbal
    3 ditë më parë

    I took tylenol

  28. Cameron Dale
    Cameron Dale
    3 ditë më parë

    Without watching the video, first, I'm going to take a guess that the golden ratio has something to do with efficiency and balance, since nature seeks an equilibrium.

  29. Räìdên Painn
    Räìdên Painn
    3 ditë më parë

    Jojo fans will like this post.

  30. AmoriLinguae
    3 ditë më parë

    Okay, but do we find plants with other irrational growth patterns?

  31. Sumi De
    Sumi De
    3 ditë më parë

    Gyro zeppli intefises

  32. nosuchthing8
    3 ditë më parë

    Maybe it's me, but the golden triangle is not very good

  33. Aaron Hicks
    Aaron Hicks
    3 ditë më parë

    And that’s the power of the spiral...

  34. Thomas Mims
    Thomas Mims
    3 ditë më parë

    Hey you’re wrong because QAnon told me otherwise!

  35. XI 56 Rayyan
    XI 56 Rayyan
    3 ditë më parë

    this video ruined my expectation about phi, I disliked it. anyways, I clicked the like button.

  36. Rascal W.
    Rascal W.
    3 ditë më parë

    The magician pulls back the curtain. Thank you.

  37. Erlkönig
    4 ditë më parë

    Good maths video, bad linguistics video. Foreign letter and word pronunciation is a matter of "opinion"? Uhm, NO! is a matter of linguistics and therefore fact. And yes I acknowledge that it is a strong opinion in the US that everything should be pronounced English (or whatever they call English). Oh the arrogance!....or ignorance? Probably a bit of both.

  38. Ezra Mantini
    Ezra Mantini
    4 ditë më parë

    4:38 : 72Degrees. 7 +2 = 9 36 degrees 3+6 =9 9 is the key

  39. Cruz Marco
    Cruz Marco
    4 ditë më parë

    God design it that way, you already said that plants cannot think, it is a code for plants to follow, just like how computer programs follow a source code, you can't find any ratio better than phi.

  40. Emtiasur Rahman
    Emtiasur Rahman
    4 ditë më parë

    So you've said those plants got evolution to get the best shape! Are you sure that, those plants were not in this shape 1 million years ago Or when they began to grow on this planet?

  41. VL Garcia
    VL Garcia
    4 ditë më parë

    1:32 i did picked the most pleasing rectangle...or is it just a coincidence?...

  42. Jimmy Neutron
    Jimmy Neutron
    4 ditë më parë

    "One Number to rule them all.."

  43. Abdul Wahab
    Abdul Wahab
    4 ditë më parë

    Anyone else picked the same rectangle? Or is it just me?

  44. Veasna Un
    Veasna Un
    4 ditë më parë

    The intro f*cked my brain up.

  45. Fahim Jaowad Sam
    Fahim Jaowad Sam
    5 ditë më parë

    One of the best channels on ALfirst.

  46. Faith Sy
    Faith Sy
    5 ditë më parë

    Vi hart flashbacks

  47. Nick Bosman
    Nick Bosman
    5 ditë më parë

    Paused at 9:30 to see if anyone commented on that "statement" but nooooo eveyone has to make smart comments about ... ehh ... stuff I don't get. Anyhow HOW DARE YOU SAY THAT (I thought you were smart)

  48. Dr. Hamath MD.
    Dr. Hamath MD.
    5 ditë më parë

    Not sure I learned arithmetic.

  49. Nel Hed
    Nel Hed
    6 ditë më parë

    Great the comment section has been hijacked by low IQ Manga fans

  50. Jose Arroyo
    Jose Arroyo
    6 ditë më parë


  51. bombay
    6 ditë më parë


  52. Jeff Bransky
    Jeff Bransky
    7 ditë më parë

    Isn’t it odd that we have so many infinite decimal place numbers representing real physical world finite ratios? It’s because we use a numbering system of base 10. Probably because we have 10 fingers and used our fingers as the original way to tally up quantities. Base ten is really quite arbitrary. Isn’t it, in a cosmic sense?

  53. Emanuele Dalla Longa
    Emanuele Dalla Longa
    7 ditë më parë

    Lol I picked the right rectangle I'm shook

    7 ditë më parë

    16-by-10 is the closest you can get with displays these days - means we should drop the rest, OF COURSE.

      7 ditë më parë

      3-by-2 also good.

  55. Hassan Saeed
    Hassan Saeed
    8 ditë më parë

    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.

  56. Christian Nönken
    Christian Nönken
    9 ditë më parë

    I picked the square, so ... now what?

  57. junie
    9 ditë më parë

    Not to sound cheesy but the way this guy teaches actually makes learning pretty fun, woulda enjoyed school a lot better if more teachers were like this

  58. λ
    9 ditë më parë

    WHERE are the references? In order to refute DAN BROWN you have to present references.

  59. Hippie Jugend
    Hippie Jugend
    9 ditë më parë

    Here is further information about Phi:

  60. Double g officieel
    Double g officieel
    9 ditë më parë

    You must obey the almighty GOD of Abraham, Isaac and Jacob. Read the Holy Bible.

  61. Ron Stash
    Ron Stash
    10 ditë më parë

    I'm not a math person and I've never heard of Phi, but this guy apparently illustrated how plants and nature follow the Phi concept. He is taking an abstract mathematical calculation and applying it to a living thing that is subject to its surroundings and genetics. Living things are not perfect. The concept of Phi is "perfect". It is a calculation. The end result of that calculation will always be Phi. The growth of a pineapple or someone's nose will never be perfect because there is no "perfection" in nature, only attempts at some basic structure. Nothing in nature can ever follow the rules of Phi exactly because that's not how nature works. Apparently, all of the plants this guy was demonstrating were nature's attempts to achieve Phi. I use the Rule of Thirds when taking photos. It works. If I use the golden ratio setting in my camera and use that instead, it "looks" better. Since this video, I've poked around the golden ratio and it appears that it has been used, or at least observed, for thousands of years. This video convinces me that it isn't some random number. Somehow, the Nautilus shell is attempting to reach Phi. I think that is amazing.

  62. Michael Luna
    Michael Luna
    10 ditë më parë

    Did you just put an extra R in familiar? Wondering if I’ve been Mandela-ed. Even the newscasters have been saying it...

  63. Joseph Stokes
    Joseph Stokes
    10 ditë më parë


  64. Turquoise Coleman
    Turquoise Coleman
    11 ditë më parë

    Thanks PHI is fun ! And I really enjoyed your detailed explanation!! Love your work 😍

  65. Akira Saito
    Akira Saito
    11 ditë më parë

    I actually find the golden ratio spiral kinda ugly. It just bothers me how wide the ending is compared to the beginning. PS: The most perfect rectangle is the square

  66. Tim Carlson
    Tim Carlson
    12 ditë më parë

    Just a clue to the possibility of plant intelligence.

  67. Joe V
    Joe V
    12 ditë më parë

    I'm having a hard time with the plant example debunking the importance of phi... seems like it actually promotes it.

  68. Rafa Pasya Al islami /29
    Rafa Pasya Al islami /29
    12 ditë më parë

    Lesson 5

  69. HYDRA
    12 ditë më parë

    golden ratio, myth or math? its a jojo refrence

  70. Davood Norouzi
    Davood Norouzi
    13 ditë më parë

    The real golden number that appears in laws of physics and in all sciences is e=2.71828....

  71. Electric SquidXD
    Electric SquidXD
    14 ditë më parë

    I think they should have referenced Aronofsky's movie Pi, it plays with the human pursuit in seeking patterns whether they're present or not, a neurotic mathematician is convinced there are universal mathematical patterns underlying every facet of nature and reality, from the weather to the stock market, and he believes it's a quantifiable string of numbers that can be conceived, but his pursuit drives him to the brink of madness, and it's unclear that what he finds had any significance at all or was just all in his head

  72. Cristian
    14 ditë më parë

    3:36 I love that band

  73. Evergreen Tree
    Evergreen Tree
    14 ditë më parë

    I wish I'd seen this video when I was teaching about this. This would have been a great video to show the kids and a fun activity.

  74. AL spezial
    AL spezial
    15 ditë më parë

    there is a number which i once heared referred to as "wao" it is so special that when you take it to the power of pi to the power of e it is still "wao" if you take the square root of the cube root of it, it is still "wao" if you had a rectangle with a ratio of "wao" it resembles something which you might not even call a rectangle "wao" was also one of the first numbers known to men.

  75. Stephanie Soressi
    Stephanie Soressi
    16 ditë më parë

    Elon Musk? Really? Pathological lying narcissistic sociopath, anyone? There are so many others far more worth your adulation. Musk says he thinks the have nots should just go ahead & die now, because the future belongs to the extremely wealthy & their robotics. He is not designing the future for you!

  76. Stephanie Soressi
    Stephanie Soressi
    16 ditë më parë

    Do you always quote the actor rather than the author? Sagan was only quoting his lines. The author of Cosmos was his wife, who should be the one credited. Look it up -- to find her name you will have to actually do your own research on it.

  77. The Art of KAS
    The Art of KAS
    16 ditë më parë

    This Could hve and honestly should have been longer. SoOO good

  78. Victor Stalick
    Victor Stalick
    17 ditë më parë

    The measurements of things in nature may not be EXACTLY the golden ratio, they tend toward that ratio and it is shown that we tend to like that ratio, which makes the assumption of PHI as the dominant number in nature.

  79. jmitterii2
    18 ditë më parë

    Don't dirty phi with a con jobber please. Thanks, in advance.

  80. AimlessPlays
    18 ditë më parë

    joe has so much knowledge that his brain cant take it and he goes insane like in the beginning of this video and the video about why weeks are a thing

  81. totoru4ever
    19 ditë më parë

    me focusing on a rectangle at 1:32: thats a really nice rectangle *camera zooms in* me: comeooooooooooonnnnn

  82. Fadden Ridder
    Fadden Ridder
    19 ditë më parë

    Wow this intro its really like those. 1:55 Golden Ratio number 2:10 - Pi é um numero Irracional pois ... 3:00 Euclidean pai da geometria 4:00 Golden triangle 5:00 Golden Spire 6:30 Fibonacci

  83. Akiiki Misu
    Akiiki Misu
    20 ditë më parë

    leonardo da vinci was kinda obsessed with the golden ratio tho. he claimed to have found some on the human body, so I do believe it was purposefully used on mona lisa

  84. Kevin Underdown
    Kevin Underdown
    20 ditë më parë

    It's a human concoction and has no significance in the real world.

  85. Over Heaven
    Over Heaven
    20 ditë më parë

    hontouni, hontouni.. nande tooi mawari michi Arigato, Gyro

  86. Over Heaven
    Over Heaven
    20 ditë më parë

    We found it boys, Lesson 6

    21 ditë më parë

    if they need extraordinary evidence, they should comprehend what is incomprehensible

  88. Huh
    21 ditë më parë

    I used this technique to assasinate the 23rd President of the United States

  89. David Terr
    David Terr
    21 ditë më parë

    Well I agree that the golden ratio has been hyped up to some extent, but as a mathematician I still find it fascinating!

  90. Youssef Bouzidi
    Youssef Bouzidi
    21 ditë më parë

    what I learned so far ! I have to stop drawing random spirals on some sort of plants and vegetables and start using math especially when it come to drawing flowers , I got to grab my golden angle

  91. GBrooks
    22 ditë më parë

    Where did the exhibit for the Hindu Arabic Numbers come from? I've been looking for that particular image for several years now!

  92. JD Lives
    JD Lives
    22 ditë më parë

    When a dog goes potty is phi.

  93. May Angelica
    May Angelica
    22 ditë më parë

    me not knowing the differents.. HAHAHAH i was not watching clearly

  94. Gurpreet Singh
    Gurpreet Singh
    23 ditë më parë

    Many of these were described by Indian mathematicians centuries before, but their contributions have not been recognized globally till date! Your videos are amazing and addictive!

  95. Angel.u
    23 ditë më parë

    Ohh mi dois my brain

  96. David Kugel
    David Kugel
    24 ditë më parë

    Joe Hanson would make a wonderful Middle School science teacher. He is animated, expressive, and amusing.

  97. ruben
    24 ditë më parë


  98. Funny Valentine
    Funny Valentine
    24 ditë më parë

    it's both. i think it's called *meth*

  99. Z A
    Z A
    24 ditë më parë

    Music theory is almost entirely based on intervals of 1, 2, 3, 5, 8, 13 whether we're talking about chromatic scales or diatonic scales. All of those numbers fall onto diatonic chord tones if the root is 1. Not only that, but to divide between two octaves by those numbers can't be taken for granted. It's not arbitrary, the harmonics within every note contain other notes that use 12 tone intervals (13 is the octave. ) For example, the root is going to contain very rich and loud harmonics of the 5th. It's only the fifth though when you have a major scale (8 notes including the octave) in place in which it's the fifth note, and in the chromatic scale (13 notes including the octave) it's the 8th note.

  100. Zac Ross
    Zac Ross
    25 ditë më parë

    “The human brain will see patterns” So Amogus?