The Beauty of Fractal Geometry (

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  • เผยแพร่เมื่อ 15 มิ.ย. 2024
  • 0:00 - Sierpiński carpet
    0:18 - Pythagoras tree
    0:37 - Pythagoras tree 2
    0:50 - Unnamed fractal circles
    1:12 - Dragon Curve
    1:30 - Barnsley fern
    1:44 - Question for you!
    2:05 - Koch snowflake
    2:26 - Sierpiński triangle
    2:47 - Cantor set
    3:03 - Hilbert curve
    3:22 - Unnamed fractal squares
    3:43 - Menger sponge
    3:53 - Sierpiński triangle (in Stereo)
    4:05 - Mandelbrot set
    4:27 - Some other fractals
    Apollonian gasket: en.wikipedia.org/wiki/Apollon...
    Romanesco: en.wikipedia.org/wiki/Romanes...
    Mandelbrot Set: mandel.gart.nz (colored)
    Fractional Dimenson: • Fractals are typically...
    Newton's fractal: • From Newton’s method t...
    MORE BEAUTIFUL GEOMETRY
    1) Geometric Interpretations: • The Sum of the First C...
    2) Fagnano's Problem: • Geometry in Animations...
    3) Theorems of the 20th Century: • Theorems of the 20th C...

ความคิดเห็น • 106

  • @geometry_manim
    @geometry_manim  ปีที่แล้ว +34

    I will regularly create videos with beautiful mathematics, especially geometry. So subscribe and hit the bell!
    P.S. If you know the name of the fractals shown at 0:50 and 3:22, please let me know!

    • @vladislavanikin3398
      @vladislavanikin3398 ปีที่แล้ว

      15 seconds into the video and... Is it you, Wild?!

    • @NaviaryMusic
      @NaviaryMusic ปีที่แล้ว

      Is this your first channel? What other channels do you own?

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว

      @@NaviaryMusic, this is the second channel, the first one is not in English. If you don't mind, I would not like to publish it to avoid spoilers

    • @NaviaryMusic
      @NaviaryMusic ปีที่แล้ว

      @@geometry_manim Okay! Nice :)

    • @deepdude4719
      @deepdude4719 ปีที่แล้ว +1

      Please keep uploading

  • @eriktempelman2097
    @eriktempelman2097 ปีที่แล้ว +86

    Fun fact about the Pythagoras Tree: Dutch artist Escher, who often took inspiration from mathematics, did not think much of it. In fact, he likened it to a cauliflower, and did not intend that to be a compliment.

    • @eriktempelman2097
      @eriktempelman2097 ปีที่แล้ว +6

      Source: "Fractals: Mathematical Patterns in Endless Repetition", Hans Lauwerier, 1986 (?), in Dutch (title translated from Dutch by OP)

  • @user-of9sr8bm9i
    @user-of9sr8bm9i ปีที่แล้ว +46

    Feedback:
    This video is a compilation of some famous fractals. As a video of showing beautiful examples, the background music and the flow of speech is actually quite fluent and smooth. It is really comfortable watching this video.

  • @PowerhouseCell
    @PowerhouseCell ปีที่แล้ว +10

    This was one of the most beautiful depictions of fractals I've ever seen! I can't believe I just found your channel - as a video creator myself, I understand how much time this must have taken. Liked and subscribed 💛

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว

      Thank you very much! New video is coming soon!

  • @angeldude101
    @angeldude101 ปีที่แล้ว +9

    I remember a video that may have been from the previous SoME that made me try a visualization of a generalization of what the video had. I accidentally mistyped the equation, but because of that error I ended up with a cool fractal that I hadn't seen elsewhere. I made sure to print it out.

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +3

      In my opinion, For Mandelbrot or Julius sets, typos are especially good! Thanks for commenting and viewing!

  • @sumankalyantripathy7413
    @sumankalyantripathy7413 ปีที่แล้ว +7

    Hey, so refined content skills for someone who has just begun. I’ve never seen a creator so fine with animations from the start. Great going, I’ve subscribed to your channel and will have a keen eye on it.

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +2

      Thank you for the kind words!
      To be honest, I was already involved in the creation of videos, but I did it locally. Now I'm trying to improve my English and I want to make videos on this channel for everyone who is interested. So for me #SoME2 is a «chance to try something new you otherwise might not have». New video coming soon. I hope you will like it!

    • @sumankalyantripathy7413
      @sumankalyantripathy7413 ปีที่แล้ว

      @@geometry_manim Definitely. 🙌🏻🙌🏻

  • @michal_wieczorek
    @michal_wieczorek ปีที่แล้ว +10

    Lovely animations, and great video in general. Music was also well placed. I myself put some research into fractals and how to generate them. I highly recommend checking L-systems, as for me they are super cool.

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว

      Yes, L-systems are a very close and interesting topic, thanks for the recommendation!

  • @soyezegaming
    @soyezegaming 3 วันที่ผ่านมา

    The B. Was pure genius.

  • @user-bc1kx8bw3b
    @user-bc1kx8bw3b ปีที่แล้ว +3

    Вайлд мес привет!! Везде узнаю это голос. Видео и графика в нем как всегда отличные👉👈

  • @cwk5008
    @cwk5008 9 หลายเดือนก่อน +1

    Good work. You are showing the beauty of the universe.

  • @azrakgd2022
    @azrakgd2022 8 หลายเดือนก่อน +1

    this is like every equation in aleph-0 explained

  • @Zenzicubic
    @Zenzicubic ปีที่แล้ว +2

    The fractal at 3:53 is called a tetrix or Sierpinski tetrahedron.

  • @MaximSchoemaker
    @MaximSchoemaker ปีที่แล้ว +2

    Gorgeous animations ^^ ✨

  • @asivoyfamily
    @asivoyfamily 8 หลายเดือนก่อน +1

    узнал дикого математизатора! Моё почтение!

  • @tylosenpai6920
    @tylosenpai6920 4 หลายเดือนก่อน

    There are also Julia, Levy Curve, and Newton Fractals
    Julia is like Mandelbrot Set, but c is...well, c (Constant), and the fractalization is based on z, taking c's place in the Mandelbrot while keeping its old place
    Levy Curve is similar to Dragon Curve, but relies of reflection instead of rotation, and you need 4 kinds of reflection (y=-x+c, x=c, y=x+c, y=c consecutively, c is the coordinate of the "last" dot of one order)
    Newton Fractal is a Julia with more general equations

  • @sarahpn2695
    @sarahpn2695 ปีที่แล้ว

    Beautiful, thank you for sharing

  • @fredoverflow
    @fredoverflow ปีที่แล้ว +7

    Does the B. stand for Benoit B. Mandelbrot?

  • @AlexanderB41
    @AlexanderB41 8 หลายเดือนก่อน

    Beautiful video!

  • @alvarobyrne
    @alvarobyrne ปีที่แล้ว

    huge name your channel has, congrats on the video and on the channel's name

  • @superspazzninja5297
    @superspazzninja5297 หลายเดือนก่อน

    3:43 JOJO REFRENCE!!!

  • @maximiliankrausechavez2265
    @maximiliankrausechavez2265 8 หลายเดือนก่อน

    3:04 showed it to a friend and then realized what this looks like (in the transition)

  • @bettercalldelta
    @bettercalldelta ปีที่แล้ว

    You got the perfect voice for maths (maybe not only maths) documentaries, and also good video

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว

      Thank you! I'll do my best for math!

  • @drozfarnyline4940
    @drozfarnyline4940 ปีที่แล้ว +6

    I instantly recognised you from wild math channel (In Russian) and subscribed
    Also few channel can provide such excellent animation with coherent voice.Although I don't know Russian neither English is my native language (It's Bengali) I still watch them
    Since your channel name is Geometry and the channel picture is from a famous book of Akopyan I hope that you will cover some of the problems from the book
    Lastly thank you for creating this channel and I hope that you will continue uploading videos and wish you the best!

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +2

      Thank you for your interest! I am very pleased with how new authors are welcomed here. So many cool participants in the SoME, and so many kind viewers. I will work hard for you. Pictures from Akopyan's book will definitely come to life on this channel!

    • @vladthemagnificent9052
      @vladthemagnificent9052 ปีที่แล้ว

      same!

  • @iamtraditi4075
    @iamtraditi4075 ปีที่แล้ว +1

    Instant sub. Beautiful work :)

  • @emmanuelnwafor6552
    @emmanuelnwafor6552 2 หลายเดือนก่อน

    This video is so cool.

  • @bonbondojoe1522
    @bonbondojoe1522 ปีที่แล้ว

    This is so beautifully and satisfyingly animated Holy fuck

  • @johnmitchelljr
    @johnmitchelljr 8 หลายเดือนก่อน

    Well done. Thank you.

  • @Ocraftj
    @Ocraftj 7 หลายเดือนก่อน

    holy crap this is so high quality

  • @jeffcummings3842
    @jeffcummings3842 ปีที่แล้ว +1

    beautiful, mesmerizing, and great presentation! look forward to more, plus very inspiring: think critically, do math, take care! Love this!

  • @irfanmuzaki6698
    @irfanmuzaki6698 ปีที่แล้ว

    Well yeah. Thats why i love fractals thing its beautiful

  • @alexvasilevskaya8728
    @alexvasilevskaya8728 6 หลายเดือนก่อน

    The 4th Fractal Is The Flower Fractal & The 12th Fractal Is The Stair Fractal

  • @NaviaryMusic
    @NaviaryMusic ปีที่แล้ว +1

    Very well made! I will watch videos of this nature

  • @randy7894
    @randy7894 8 หลายเดือนก่อน

    Super nice animated!

  • @finnianreilly1831
    @finnianreilly1831 5 หลายเดือนก่อน

    There is a software called Matryoshka that allows to play with geometric fractals using photo montage

  • @pra.
    @pra. ปีที่แล้ว +1

    great animations!

  • @nathankoziol7368
    @nathankoziol7368 8 หลายเดือนก่อน

    1:08 nice fade

  • @scratchthecatqwerty9420
    @scratchthecatqwerty9420 ปีที่แล้ว +2

    That's some wild math!

  • @kendakgifbancuher2047
    @kendakgifbancuher2047 ปีที่แล้ว +3

    I bet that B means "Benoit B. Mandelbrot"

    • @HyperX755
      @HyperX755 7 หลายเดือนก่อน +2

      Ok wait that’s pretty funny

  • @larryriddle81
    @larryriddle81 3 หลายเดือนก่อน

    @geometry_manim , How did you construct the Koch Snowflake in manim so it could be filled with a color?

  • @user-ir8nd6mj2b
    @user-ir8nd6mj2b ปีที่แล้ว +5

    Вайлд, ты ли это? :0

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +3

      Nope!

    • @fullfungo
      @fullfungo ปีที่แล้ว

      th-cam.com/video/nV1IzrCVsEw/w-d-xo.html
      Конечно

  • @jennycotan7080
    @jennycotan7080 6 หลายเดือนก่อน

    I embroided a Sierpinski Triangle on my pencil bag...

  • @josemariaoviedo5607
    @josemariaoviedo5607 8 หลายเดือนก่อน

    awesome

  • @ringothounaojam6580
    @ringothounaojam6580 5 หลายเดือนก่อน

    It's an amazing video.and can anyone tell me the name of the background music ?

  • @zemoxian
    @zemoxian 8 หลายเดือนก่อน

    Never thought about the initial before. But now it occurs to me that the “B.” could stand for Benoit B. Mandelbrot. Writing his full name would cause a stack overflow, so it’s better to stick with the initial.

  • @samcoding
    @samcoding ปีที่แล้ว

    This channel needs more subscribers

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว

      Rome wasn't built in a day. And i'll keep making videos! Thank you for joining!

  • @cKoruss
    @cKoruss 7 หลายเดือนก่อน

    which BGM did you used?

  • @johnchessant3012
    @johnchessant3012 ปีที่แล้ว +3

    Is 3:22 related to the four bugs problem? (four bugs travel at the same speed always changing direction to point at the next bug around the square)
    Beautiful video btw!

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +2

      Yes, absolutely right! I first learned about this construction while solving the problem of four bugs (in my case there were 4 turtles)

    • @drozfarnyline4940
      @drozfarnyline4940 ปีที่แล้ว +2

      @@geometry_manim in my country (9th grade textbook)
      The same problem is given with four dogs😄

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +3

      @Droz Farny Line , yeah! Yesterday I saw this wonderful video: th-cam.com/video/gjU9-5JVXXs/w-d-xo.html - 4 dogs too

    • @LittleFarmLife1637
      @LittleFarmLife1637 7 หลายเดือนก่อน +1

      I see PewDiePie

  • @ThankYouESM
    @ThankYouESM ปีที่แล้ว

    I want to create (with Python) a type of Mandelbrot, but... in 360 degrees, full color, infinite zooming out from the center of the canvas, different for each index number that it would generate nearly every picture within the given size if runs long enough.

  • @c4nc3rand4ut1sm
    @c4nc3rand4ut1sm หลายเดือนก่อน +1

    i feel bad for the people with trypophobia.

  • @miffop
    @miffop ปีที่แล้ว +1

    Точно, Wild math на английском, голос знакомый

  • @Illogical.
    @Illogical. ปีที่แล้ว

    I started learning Python (a programming language) recently, and yesterday, I made a program, that can draw functions.
    I tried
    tan(x^2+y^2)=1
    by writing
    1 - math.tan(x * x + x * x)
    How would I input fx the mandelbrot set?

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +1

      That's a good question! You can learn it by this article: realpython.com/mandelbrot-set-python/ - there are many examples

    • @Illogical.
      @Illogical. ปีที่แล้ว

      @@geometry_manim I have looked through some of it now. It looks promising. Thank you!

  • @lizasovereign2840
    @lizasovereign2840 6 หลายเดือนก่อน

    If a fractal app has no mandelbrot
    The fractal formula would be
    z^2 + c

  • @fennyfeodora9212
    @fennyfeodora9212 8 หลายเดือนก่อน

    What is the song

  • @phyarth8082
    @phyarth8082 11 หลายเดือนก่อน

    Mandala{brot} person whom coined fractal geometry.

  • @Joffrerap
    @Joffrerap ปีที่แล้ว +1

    so B stands for benoit B. mandelbrot?

  • @DeenBoi
    @DeenBoi ปีที่แล้ว

    Delicious

  • @serineljr5037
    @serineljr5037 8 หลายเดือนก่อน +1

    0:54 AYO SUS💀💀💀

    • @David280GG
      @David280GG 6 หลายเดือนก่อน

      ?

  • @vindi167
    @vindi167 8 หลายเดือนก่อน

    this reminds me a LOT of 3Blue1Brown

  • @jackdeago3639
    @jackdeago3639 ปีที่แล้ว

    Insanly beautiful what is the name of the music, it really fit the beauty of the music with the magical beautiful math !!!!

    • @bernatesteve1418
      @bernatesteve1418 2 หลายเดือนก่อน

      I also need to know!!!!!!!

  • @ThEmArIS1
    @ThEmArIS1 ปีที่แล้ว

    What's the one starting at 4:29 called?

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +1

      It doesn't named after somone, but in the Wiki I see «Uniform mass center triangle fractal»: en.wikipedia.org/wiki/Fractal

  • @codatheseus5060
    @codatheseus5060 ปีที่แล้ว

    Them animations tho!

  • @tasnimfarah6139
    @tasnimfarah6139 4 หลายเดือนก่อน

  • @jimmymason7461
    @jimmymason7461 ปีที่แล้ว

    p5.js or vanilla javascript?

    • @geometry_manim
      @geometry_manim  ปีที่แล้ว +1

      It's a Python: 3b1b.github.io/manim/ - many creators use this library

  • @AnnetteEllington
    @AnnetteEllington 9 หลายเดือนก่อน

    I thought Benoit B.'s middle name doesn't exist, it's just the middle initial.

  • @d3r4g0d8
    @d3r4g0d8 8 หลายเดือนก่อน

    Half of the things you said I didn't understand 😂😂😂

  • @scarytear6666
    @scarytear6666 5 หลายเดือนก่อน

    1:09

  • @mrchutagd5384
    @mrchutagd5384 7 หลายเดือนก่อน

    Dash

  • @hengkysoh29
    @hengkysoh29 2 หลายเดือนก่อน

    wait a minute I hear the number of fart💀💀