Visualization of "Golden Ratio" as an Irrational Number

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  • čas přidán 17. 11. 2023
  • z(θ)=e^θi + e^(1.618033988749895…⋅θi)
    The visual illustrate a setup where the outer arm is rotating golden ratio times faster than the inner arm.
    Since the golden ratio is an irrational number with infinite digits, the line would never connect to its starting Position, no matter how long, how fast we run this simulation. If you zoom in you'd always see the gap between those lines.
  • Krátké a kreslené filmy

Komentáře • 107

  • @marylynne9104
    @marylynne9104 Před 6 měsíci +18

    Fascinating that as the pattern progresses beyond about 12 minutes I start to see pastel colours that I know are not there. I see pink, blue, yellow, green and pale violet, and the colours subtly shift as time goes on.

  • @thechurchofsleep
    @thechurchofsleep Před 6 měsíci +18

    Amazing way to visualize the golden ratio as an illustrator, a pendulum with 2 equal parts swinging counter clockwise from the center of a sphere, it's swing never letting it's most extended arm repeat it's previous path

    • @j.burgundy499
      @j.burgundy499 Před 6 měsíci

      Thanks for explaining 😎🙂. I had no idea what was going on.

  • @naranciaghirga5726
    @naranciaghirga5726 Před 6 měsíci +7

    IM BEING EDGED BRO PLEASE😭😭😭😭

  • @jwalker5752
    @jwalker5752 Před 6 měsíci +76

    Beautifully done. Longer version is void of the music which adds to the depth of the work. Perhaps in the future. The artist has found a unique niche. Subscribed!

  • @tomdekler9280
    @tomdekler9280 Před 6 měsíci +27

    Look at how neatly it's filling up the spaces

    • @tomdekler9280
      @tomdekler9280 Před 5 měsíci

      @@Leo.McFadyen erryone loves a circle, but no bitch fills up a space like Phi.

  • @Null_Simplex
    @Null_Simplex Před 6 měsíci +2

    Thanks for this video. I think it will be a useful reference for me. I’m the guy who mentioned using the golden ratio on your pi video on reddit. Thanks again for making this.

    • @tomdekler9280
      @tomdekler9280 Před 5 měsíci

      I dunno if you were the inspiration for this video, I mean, phi is pretty popular.

  • @hjkim5614
    @hjkim5614 Před 6 měsíci +3

    😮 올해 시청한 가장 무해한 영상, 멍때리기며 안정을 찾기 좋네요. 정말 감사합니다

  • @yogeshlakshman8488
    @yogeshlakshman8488 Před 6 měsíci +3

    Respect bro
    Seriously amazing effort🔥

  • @ASMRunning
    @ASMRunning Před 6 měsíci +7

    Beautifully done. What software is this?

  • @cuter.
    @cuter. Před 6 měsíci +2

    Thanks for making it after I suggested it under the π video!

  • @Subh32
    @Subh32 Před 6 měsíci +1

    Most intelligent 🧠 person in math i came across and i watched urs all shorts ❤

  • @govindk3414
    @govindk3414 Před 6 měsíci

    Bhai kuch alag hi content h... unbelievable 🤯...pehle to lga Indian channel nhi hoga but mza aa gya bhai... videos dekh k kuch true magic jaisa lgta h....you will grow bro surely with this content. I'm your subscriber brother❤

  • @dextronium
    @dextronium Před 6 měsíci +3

    Beatiful

  • @gdradical5803
    @gdradical5803 Před 5 měsíci

    This tingles my brain in a wierd yet oddly satisfying way

  • @RedPenguin777
    @RedPenguin777 Před 6 měsíci +3

    can you explain how you make this sort of thing?

  • @amitpandey_
    @amitpandey_ Před 6 měsíci +3

    Can you explaim how you visualise this, and which tool you use, like which Programming language and framework.

  • @johnhw398
    @johnhw398 Před 6 měsíci +115

    I wish they taught this in school

    • @Aymen19827
      @Aymen19827 Před 6 měsíci +14

      What is the point of this being in school

    • @NachoSchips
      @NachoSchips Před 6 měsíci

      ​@@Aymen19827this could be taught in CS class. It'd be a great programing Project

    • @tornadoreaper
      @tornadoreaper Před 6 měsíci +19

      You sure you won't sleep in class and don't pay attention, boy?

    • @chaycehughes2246
      @chaycehughes2246 Před 6 měsíci +13

      They do teach this in school

    • @NachoSchips
      @NachoSchips Před 6 měsíci +2

      @@chaycehughes2246 that's a bit of a stretch don't you think? Like people now how addition and multiplication works on N,Z,Q and R but that doesn't mean they know how to construct the reals

  • @FebruaryHas30Days
    @FebruaryHas30Days Před 6 měsíci +3

    Did I request this? I guess I did

  • @JustARandomUser9746
    @JustARandomUser9746 Před 6 měsíci +1

    Hope you get 100K subs soon

  • @Subh32
    @Subh32 Před 6 měsíci +1

    Just imagine if we can make this as abstract art by using thread with machine which performs this this will look amazing in real life ❤

  • @photonwave-music
    @photonwave-music Před 3 měsíci +1

    Hi Chirag! I wonder would you be OK if I use your video for my music?

  • @RB-vf9xn
    @RB-vf9xn Před 4 měsíci

    Very cool. Wud you be able to post a video of the sim if the arms' lengths were ALSO in golden ratio?

  • @SafeSpaceGaming1
    @SafeSpaceGaming1 Před 2 měsíci +1

    Can you hear the music Mathenheimer? CAN YOU!?!?!

  • @farheenkhan1865
    @farheenkhan1865 Před 5 měsíci +1

    Can you please make a tutorials for the program used to make this marvellous pattern of golden ratio 😊

  • @kortkiller12
    @kortkiller12 Před 4 měsíci

    It all comes full circle in the end

  • @sentinelle5076
    @sentinelle5076 Před 6 měsíci

    C'est génial ! 👍❤

    • @pickyvalley6222
      @pickyvalley6222 Před 6 měsíci

      Mouais bof... J'aurais préféré qu'il arrête la vidéo après que le pendule ait touché le point où il a commencé :⁠-⁠\

  • @fernandoarizaabascal1175
    @fernandoarizaabascal1175 Před 6 měsíci

    Mesmerizing...🙂

  • @Depp_123
    @Depp_123 Před 6 měsíci +3

    Hii i am a huge fan❤❤❤ please reply i liked all of your videos you are such a genius🧠 and your videos are just beautiful i wish i was as smart as you please reply byee👋👋👋

    • @fascinating.fractals
      @fascinating.fractals  Před 6 měsíci +1

      Thank you so much ! I really do appreciate your comment ! Wish you all the best!❤️

  • @thesmithclan1
    @thesmithclan1 Před 5 měsíci

    Instantly found a way to solve. Start position is equal to the position of rotation the inner lines orbit

  • @harsh.vision
    @harsh.vision Před 6 měsíci +1

    seems like the point is travelling a 3d path in space...

  • @ManhNguyen-cf1sq
    @ManhNguyen-cf1sq Před 6 měsíci +1

    What app do u use

  • @V-Krishna.13
    @V-Krishna.13 Před 6 měsíci +2

    Software name

  • @kmotito6440
    @kmotito6440 Před 6 měsíci +1

    Esto me recuerda a la forma en la que un átomo se encuentra súper posicionado en varios lugares a la vez, y si en vez de ser solo eso.. su patrón de movimiento sean fractales? Tan rápidos para ser imperceptibles?

    • @grilldefonsgarcia143
      @grilldefonsgarcia143 Před 6 měsíci

      Este video lo repites tantas veces como electrones en el universo y jamás volverá a encontrarse con el punto inicial

  • @imaginaryphi1618
    @imaginaryphi1618 Před 5 měsíci

    Because it has to be efficient. Amen

  • @tiles2048
    @tiles2048 Před 6 měsíci

    So close 🤏, yet so far ♾️

  • @AnkitRaj-no7zr
    @AnkitRaj-no7zr Před 6 měsíci

    Namaste Brother
    Could you please reply, how you make these beautiful curves of mathematics using coding.
    Please brother 🙏🙏

  • @i._.witness
    @i._.witness Před 6 měsíci +2

    🖤

  • @Jotsukko
    @Jotsukko Před 6 měsíci +2

    Please, make more content using Ludwig Göransson's music!❤

  • @S0meguyony0utube
    @S0meguyony0utube Před 6 měsíci

    Can someone tell me how much faster the second hand is spinning than the first hand in relation?

  • @ellatoon-barron3335
    @ellatoon-barron3335 Před 6 měsíci

    What’s the significance in mathematics or physics that eventually this sphere becomes…”complete” …? For lack of a better term.

  • @shawnwebber3220
    @shawnwebber3220 Před 6 měsíci

    I think you just created an image of what Danny Carey’s dreams must look like

  • @sarvikanthanush562
    @sarvikanthanush562 Před 6 měsíci

    Is there any video to explain?

  • @maawolff8888
    @maawolff8888 Před 6 měsíci +1

    Like a torus

  • @femiidowu-read9620
    @femiidowu-read9620 Před 2 měsíci

    Could this be done with gears?

  • @user-jd1id6wr1t
    @user-jd1id6wr1t Před 6 měsíci

    ما اسم هذا التطبيق
    اذا ممكن حطنا رابط التنزيل 😊

  • @NOOBl3
    @NOOBl3 Před 2 měsíci

    ok so when do they meet

  • @RiceWitch-dingus-400
    @RiceWitch-dingus-400 Před 3 měsíci

    I’m a little confused, how is i graphable?

  • @mostafaabdelnaser7572
    @mostafaabdelnaser7572 Před 6 měsíci

    That's how no humans fingerprint is identical to anothers fingerprint.

  • @Theastheticthugs
    @Theastheticthugs Před 6 měsíci

    Sir how we can do it to..

  • @collectorsahab3784
    @collectorsahab3784 Před 6 měsíci +8

    Hi Chirag,
    I was wondering which software do you use to make these fractals and simulations.

    • @TheLameTV
      @TheLameTV Před 6 měsíci

      I would love to know which program you use as well

    • @fascinating.fractals
      @fascinating.fractals  Před 6 měsíci +12

      Hi! I make these programmatically by writing my own little code!

    • @user-lx2ep9hd4k
      @user-lx2ep9hd4k Před 6 měsíci

      ​@@fascinating.fractalsYou should try the Processing language

    • @007sephiroth1
      @007sephiroth1 Před 6 měsíci

      Is it written in Python, VB, C+ or something else?

    • @chiragsolanki6781
      @chiragsolanki6781 Před 5 měsíci

      ​@@fascinating.fractals sir can you give me code

  • @100rabh98
    @100rabh98 Před 6 měsíci

    Make full length video and explain concept

  • @aafridin
    @aafridin Před 6 měsíci

    Bhai Amreli kamani science no student chho??

  • @quiksilver4556
    @quiksilver4556 Před 5 měsíci

    Where is the oppenheimer theme song?

  • @yrahduahcsaroj6992
    @yrahduahcsaroj6992 Před 6 měsíci

    How to make this kind of video

  • @Vuoblesib
    @Vuoblesib Před 5 měsíci

    BUENO TENER TRASCEND" ESPANDE EL ENTORNO ... CLARO ..QUE UN POWER Design. AL PLANO ES COMO UN FLOOP... PARA GUSTOS COLORES!!!🍿 .•°. •°. •°

  • @seramix_1232
    @seramix_1232 Před 6 měsíci

    I put this on x2 speed but it just seems like regular speed to me😅

  • @AntiZubat
    @AntiZubat Před 6 měsíci +2

    Jojo reference!?!?!?

  • @Tottaly_Human
    @Tottaly_Human Před 6 měsíci +3

    The longer the better, I love it ❤
    Thats what she said
    (A joke)

  • @abhishekjain9785
    @abhishekjain9785 Před 6 měsíci

    Excellent
    Sir what have you done to done to achieve such a skill.
    I would love to know how and what type of education you have recieved.
    I'm a mechanical engineer.

  • @soumiksenpai
    @soumiksenpai Před 6 měsíci +1

    People study math to pass test but this guy study math to understand its beauty 😍 . Amazing content bro 😁✌️❤️ . Could u pls pin me ?

  • @Whyiseveryhandletaken6942
    @Whyiseveryhandletaken6942 Před 6 měsíci

    What side are you on?
    Watch the sticks
    Watch the point

  • @taka24zoo
    @taka24zoo Před 6 měsíci

    陶器のお皿の図案に使えないかな〜?

  • @LyRrz
    @LyRrz Před 6 měsíci

    we learnt about this is english class

  • @josecorzo5517
    @josecorzo5517 Před 6 měsíci

    T.O.C. In mathematics

  • @soulpod99
    @soulpod99 Před 6 měsíci

    Art teacher has left the chat:

  • @joaovitormoreira12
    @joaovitormoreira12 Před 6 měsíci

    Make with √2

  • @FeWi-YT
    @FeWi-YT Před 6 měsíci

    Why didn’t you end the video here 11:08

  • @user-rj7rm8uw1n
    @user-rj7rm8uw1n Před 6 měsíci

    Ирациональные цыфры.стих:мандам:ку ,ку.мерси,в Баку!!.

  • @weakw1ll
    @weakw1ll Před 5 měsíci

    Comment #100 🎉

  • @Devo69123
    @Devo69123 Před 29 dny

    I'm the 1 thousandthlike

  • @rafaelgabrielgarlinidal-bo9496

    the ending is NOT satisfying, you could at least fill the spaces up one more time.

  • @deranimus1
    @deranimus1 Před 6 měsíci

    hmm, no real explanation in how it was created... as always ppl just scam...

  • @garretreed9709
    @garretreed9709 Před 6 měsíci +2

    Not the same without music. Meh.

    • @user-lo7ss5ks6t
      @user-lo7ss5ks6t Před 5 měsíci

      Do u know the song?

    • @garretreed9709
      @garretreed9709 Před 5 měsíci

      @@user-lo7ss5ks6t I meant it isn’t as enjoyable without any music. They normally have cinematic music on these but not sure what happened.