The Golden Ratio Nautilus

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  • Опубликовано: 5 ноя 2024

Комментарии • 71

  • @FaiRYTaiLS_ai
    @FaiRYTaiLS_ai 12 лет назад +3

    can you hear the ocean in that shell?

  • @Uhor
    @Uhor 12 лет назад +1

    Great work, the golden ratio nautilus would be a beautiful tea cup design.

  • @U235x
    @U235x 12 лет назад

    I always thought something was amiss when I saw the pictures of golden spirals and nautili side by side in these discussions. Thanks for clearing it up!

  • @briankimonyo9575
    @briankimonyo9575 8 лет назад +5

    I found this Golden ratio nautilus interesting because I had never heard about it before. Where else in the world could you find a logorythmic spiral like this besides a shell? I really enjoyed how he was so enthusiastic about this. Why is it called the golden ratio nautilus?I really liked this video!

  • @ouodo
    @ouodo 12 лет назад +2

    Thanks for clearing that up george!

    • @SidneySilvaCarnavaleney
      @SidneySilvaCarnavaleney 3 года назад

      Prezado nobre amigo, com todo meu respeito a todos neste singelo canal, venho a público afirmar que a Hipótese de Riemann, existe alguns pontos negativos, foi em cima de grandes pesquisas, várias investigações e alguns estudos, que com uma simples PA(Progressão Aritmética) dentro de uma lousa com um simples giz relato a seguir:
      Prezado nobres amigos(as) Professores(as), alunos(as), conhecidos(as)deste singelo canal qual o impacto que causaria no Universo da Matemática, ao afirmar que alguns números citados não são primos? e os Primos Gêmeos não existe?
      2; 19; 41; 59; 61; 79; 101; 139; 179; 181; 199; 239; 241; 281; 359; 401; 419; 421; 439; 461; 479; 499; 521; 541; 599; 601; 619; 641; 659; 661; 701; 719; 739; 761; 821; 839; 859; 881; 919; 941; 1019; 1021; 1039; 1061; 1181; 1201; 1259; 1279; 1301; 1319; 1321; 1361; 1381; 1399; 1439; 1459; 1481; 1499; 1559; 1579; 1601; 1619; 1621; 1699; 1721; 1741; 1759; 1801; 1861; 1879; 1901; 1979; agora a Hipótese de Riemann cai por terra abaixo, o autor Sr Sidney Silva, portanto sou o detentor do maior número primo já encontrado em todos os tempos.....
      Segue minha obra para sua apreciação quem sabe talvez comprar está única e majestosa obra sobre o Pi ser Racional e Irreversível. o autor Sr Sidney Silva.
      www.portaldoslivreiros.com.br/livro.asp?codigo=4410831&titulo=A+Ousadia+do+Pi++Ser+Racional
      : www.estantevirtual.com.br/mod_perl/info.cgi?livro=2655536635
      aeditora.com.br/produto/a-ousadia-do-%cf%80-ser-racional/
      www.amazon.com.br/dp/655861281X?ref=myi_title_dp
      aeditora.com.br/produto/a-ousadia-do-%cf%80-ser-racional/
      Onde encontrar minha obra, segue os links acima em epígrafe, e adquirir uma obra onde sua leitura é bem simples e objetiva provando a Racionalidade de Pi, para saber se é Racional ou não, compre minha obra, gratidão sempre o autor Sr Sidney Silva.

  • @reallytyson
    @reallytyson 3 года назад +1

    The golden spin energy

  • @tayloryasbeck1000
    @tayloryasbeck1000 8 лет назад +2

    This is cool how it works to make such a specific and perfect spiral. I wonder how this was figured out.

  • @tessahochhaus9920
    @tessahochhaus9920 10 лет назад

    i find it so interesting how math and geometry can relate to nature. in this example and others relating to this as well as the fibonacci numbers.

  • @Mad.E
    @Mad.E 11 лет назад +2

    I would have loved to see the half of the printed nautilus

  • @chevynxu362
    @chevynxu362 Год назад

    great analysis video.

  • @Gnarnical
    @Gnarnical 12 лет назад

    I just love drawing fibonacci swirls. this equation will better my knowledge when drawing the next.. perhaps I'll even colour it this time

  • @astropgn
    @astropgn 12 лет назад +1

    I liked your video very much! Thank you for making it! I would like to see the cross section too

  • @-imdrbacon-6789
    @-imdrbacon-6789 6 лет назад +1

    I didn't know that there was so much math involved in a spiral... :D woah.

  • @beahighvalueman2255
    @beahighvalueman2255 4 года назад

    Great work George!

  • @cameodamaneo
    @cameodamaneo 8 лет назад

    Omg, you talk EXACTLY like your daughter in this vid and it's beautiful!

  • @blabby102
    @blabby102 12 лет назад

    Very interesting!
    You just shot down one of the main examples of the golden ratio.
    Can't wait for more.

  • @tamfang
    @tamfang 12 лет назад

    They were, but now they're only expensive as heck.
    Someday soon they'll be expensive as purgatory ....

  • @reubenallen1345
    @reubenallen1345 7 лет назад

    Cool Video! He mentioned the golden ratio being "Good friends with the square root of 5". I wonder why.

    • @michaeltebele3305
      @michaeltebele3305 7 лет назад +1

      because the golden ratio is equal to (1+sqrt5)/2

  • @fortunecookiefoldin
    @fortunecookiefoldin 12 лет назад

    Fun! I know there are modern molluscs with a ratio much closer to 7, though I'm not sure any nautiloid ever achieved it. Maybe some ammonoids, though.

  • @FaiRYTaiLS_ai
    @FaiRYTaiLS_ai 12 лет назад

    if you cut along the spiral in the fibonacci spiral and then fold the paper at 90 degrees at each of the squares it forms an interesting 3d spiral

  • @silencedidgood
    @silencedidgood 12 лет назад

    You should stop by Sector67 in Madison, Wi if you are even in the neighborhood. The visionary Chris Meyer there and you could have quite a conversation!

  • @Kram1032
    @Kram1032 12 лет назад

    haha, nice!
    This nicely accompanies Vi's collection of videos of the golden ratio.
    I wonder, she was talking about an "upcomming phi-month" in her google hangout and since this seems to be an important rant to you aswell, will the two of you make a couple of videos together?
    Family business :D -What better familiy business could there be than one that makes maths awesome? :D
    On an unrelated note: How can you be so sure that noone else already printed a similar phi-Nautilus?

  • @tamfang
    @tamfang 12 лет назад

    You could make three more with growth factors tau^3, tau^2, tau^1 per circle

  • @leondc9
    @leondc9 10 лет назад

    Not sure what to think of the argument of logarithmic vs. exponential, but I think it's cool that this is another way math is represented in nature. Was the nautilus inspiration for the discovery or just a post-discovery association?

  • @TyYann
    @TyYann 12 лет назад

    Finally! I'm so relieved that some people tell the truth about the golden ratio.
    -A Nautilus-
    ;)

  • @empties
    @empties 11 лет назад

    I like this, I will subscribe, thank you for sharing!

  • @TheForgoten100
    @TheForgoten100 10 лет назад +6

    Can someone put it in simple for me: What is so fascinating about this?

    • @Esbro
      @Esbro 6 лет назад

      TheForgoten100
      Thats some high level math stuff we normal people cant comprehend

    • @JorgeBrown
      @JorgeBrown 4 года назад +1

      Have a look here: www.mathsisfun.com/numbers/nature-golden-ratio-fibonacci.html and here: ruclips.net/video/2nO-NDz9w04/видео.html

  • @benjaminhouston7118
    @benjaminhouston7118 9 лет назад

    How long did it take

  • @daehan0814
    @daehan0814 8 лет назад

    video was interesting. i learned that 1.68 is the golden ratio. what is the Fibonacci spiral?

  • @swamiworldtraveler
    @swamiworldtraveler 10 лет назад

    AWESOME! Thank you SO much!

  • @GeorgeHart-math
    @GeorgeHart-math  12 лет назад

    Mine. It's a Makerbot Replicator.

  • @LoonaBimberton
    @LoonaBimberton 12 лет назад

    This is profound!

  • @abulmagd3
    @abulmagd3 12 лет назад

    Ok..somebody has to say it... will it blend?

  • @Dyslexic-Artist-Theory-on-Time
    @Dyslexic-Artist-Theory-on-Time 6 лет назад

    This is an invitation to see a theory on the nature of time! In this theory we have an emergent uncertain future continuously coming into existence relative to the spontaneous absorption and emission of photon energy. In this process we even have an objective reason for the start of the Fibonacci numbers 0, 1, 1,... with the t = 0 and the positive +1 and negative -1 representing the positive and negative of electromagnetic waves with everything being based on one geometrical process. In this theory the future is not random it is based on a process of spherical symmetry forming and breaking. Spherical symmetry forms the low entropy that we see if we look back in time at the ‘big bang’ and also forms the potential for ever greater symmetry formation that we have in cell life with the Fibonacci spiral being visible almost everywhere in nature! This is because if the quantum wave particle function Ψ or probability function is reformulated as a linear vector then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ∞ infinity!

  • @Steve.Garrison
    @Steve.Garrison 6 лет назад +1

    The cut nautilus you show is Nautilus Pompilius, it has a relative called a Paper Nautilus which looks closer to a Golden Spiral. I wonder how it measures up?

  • @krabikjopnik1887
    @krabikjopnik1887 3 года назад

    its gyro's pet

  • @qisisiq
    @qisisiq 12 лет назад

    lol it just looks uncomfortable...

  • @heathermorton254
    @heathermorton254 4 года назад

    Math vers natural design,. Makes sense in theory,. But math... Explainanation,. Huh!

  • @arngorf
    @arngorf 12 лет назад

    This is SO Vi Hart rip-off..... oh wait...

  • @parzatka51
    @parzatka51 9 лет назад +10

    The nautilus shell grows in volume ... not area. The golden mean ratio represents the volume in a nautilus shell ... not the area. Big difference. Now go back and re-calculate. The earth is not flat. The solar system is not flat. The golden mean ratio is not flat. The Nautilus shell is not flat. Get out of two dimensions. Energy does not travel in a two dimensional flat "wave". Energy travels in a three dimensional cylindrical "helix". Raise your level of consciousness. Do your homework before you try to "debunk" something.

    • @ivanlee2780
      @ivanlee2780 8 лет назад +4

      ..you clearly have no idea what the hell you are talking about lol

    • @parzatka51
      @parzatka51 8 лет назад +4

      I am clearly way over your head ...

    • @ivanlee2780
      @ivanlee2780 8 лет назад +3

      Are you now? Show me any credible evidence that spiral created from golden ratio is similar to that of nautilus spiral. I am really eager to see if using golden ratio as in volume would actually create nautilus shell as you claim.

    • @parzatka51
      @parzatka51 8 лет назад

      If you have the capacity ... do the mathematical calculations for the volume of a nautilus shell, and prove me wrong [or right]. Intuition and critical thinking alone, validates my point. I do not have the time or the desire to prove anything to anyone, especially the likes of a closed minded person like you. You are the kind of person that would have laughed at the Wright brothers, as they flew over your head.
      Stop demanding some silver bullet link that will explain the answers to the universe to you in five minutes. Why do you not pick up your index finger and find some evidence for yourself? It is not my job to educate you. Regardless, your false orthodox science paradigm has already figured everything out for people like you ... leave the rest of us alone please.

    • @ivanlee2780
      @ivanlee2780 8 лет назад +5

      Lol. It's not that you have no desire to prove anything. You simply cannot. You haven't shown me any of your "intuition and critical thinking" yet, other than saying that "golden mean ratio represents volume". You validated nothing. You've been whining about this video not accounting for the volume. But this video is about golden ratio, which is about area that involves rectangle's side lengths with ratio of 1:1.618. Golden ratio is not about calculating the volume. But apparently you make it sound like you somehow managed to relate the increase of volume in nautilus shell to golden ratio. I wanted you to provide me the source or proof of this amazing feat of discovery, but I guess it is so difficult that it is comparable to "explaining the answers of universe".Here, let me give you the one of many articles that explain why golden ratio cannot replicate nautilus shell: www.sciencenews.org/article/sea-shell-spirals Also. "the rest of us" ? Who is this "us"? Quit pretending that you are speaking for someone else other than yourself. Nobody here is making an insane assumption that you are pretentiously making.

  • @TWOCOWS1
    @TWOCOWS1 7 лет назад +1

    I hope you are not a teacher, because you have no idea how to convey what you know to others. you are really just having a quality time with yourself; pox on the poor student who is supposed to make head or tail out of what you are racing through.