The Beauty of Fractal Geometry (
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- čas přidán 1. 06. 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...
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!
15 seconds into the video and... Is it you, Wild?!
Is this your first channel? What other channels do you own?
@@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
@@geometry_manim Okay! Nice :)
Please keep uploading
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.
Source: "Fractals: Mathematical Patterns in Endless Repetition", Hans Lauwerier, 1986 (?), in Dutch (title translated from Dutch by OP)
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.
Thank you!
Вайлд мес привет!! Везде узнаю это голос. Видео и графика в нем как всегда отличные👉👈
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.
In my opinion, For Mandelbrot or Julius sets, typos are especially good! Thanks for commenting and viewing!
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 💛
Thank you very much! New video is coming soon!
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.
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!
@@geometry_manim Definitely. 🙌🏻🙌🏻
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.
Yes, L-systems are a very close and interesting topic, thanks for the recommendation!
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
узнал дикого математизатора! Моё почтение!
Gorgeous animations ^^ ✨
Good work. You are showing the beauty of the universe.
Beautiful, thank you for sharing
huge name your channel has, congrats on the video and on the channel's name
Beautiful video!
The fractal at 3:53 is called a tetrix or Sierpinski tetrahedron.
Very well made! I will watch videos of this nature
this is like every equation in aleph-0 explained
3:43 JOJO REFRENCE!!!
beautiful, mesmerizing, and great presentation! look forward to more, plus very inspiring: think critically, do math, take care! Love this!
You got the perfect voice for maths (maybe not only maths) documentaries, and also good video
Thank you! I'll do my best for math!
Instant sub. Beautiful work :)
Many thanks!
Well done. Thank you.
This is so beautifully and satisfyingly animated Holy fuck
Well yeah. Thats why i love fractals thing its beautiful
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!
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!
same!
Super nice animated!
holy crap this is so high quality
Does the B. stand for Benoit B. Mandelbrot?
Exactly!
This video is so cool.
great animations!
Thanks a lot!
3:04 showed it to a friend and then realized what this looks like (in the transition)
There is a software called Matryoshka that allows to play with geometric fractals using photo montage
That's some wild math!
There's a little bit of that!
1:08 nice fade
awesome
@geometry_manim , How did you construct the Koch Snowflake in manim so it could be filled with a color?
This channel needs more subscribers
Rome wasn't built in a day. And i'll keep making videos! Thank you for joining!
Вайлд, ты ли это? :0
Nope!
czcams.com/video/nV1IzrCVsEw/video.html
Конечно
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.
I bet that B means "Benoit B. Mandelbrot"
Ok wait that’s pretty funny
The 4th Fractal Is The Flower Fractal & The 12th Fractal Is The Stair Fractal
I embroided a Sierpinski Triangle on my pencil bag...
i feel bad for the people with trypophobia.
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.
Точно, Wild math на английском, голос знакомый
It's an amazing video.and can anyone tell me the name of the background music ?
Delicious
Them animations tho!
0:54 AYO SUS💀💀💀
?
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!
Yes, absolutely right! I first learned about this construction while solving the problem of four bugs (in my case there were 4 turtles)
@@geometry_manim in my country (9th grade textbook)
The same problem is given with four dogs😄
@Droz Farny Line , yeah! Yesterday I saw this wonderful video: czcams.com/video/gjU9-5JVXXs/video.html - 4 dogs too
I see PewDiePie
which BGM did you used?
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?
That's a good question! You can learn it by this article: realpython.com/mandelbrot-set-python/ - there are many examples
@@geometry_manim I have looked through some of it now. It looks promising. Thank you!
❤
Mandala{brot} person whom coined fractal geometry.
If a fractal app has no mandelbrot
The fractal formula would be
z^2 + c
Insanly beautiful what is the name of the music, it really fit the beauty of the music with the magical beautiful math !!!!
I also need to know!!!!!!!
this reminds me a LOT of 3Blue1Brown
What is the song
What's the one starting at 4:29 called?
It doesn't named after somone, but in the Wiki I see «Uniform mass center triangle fractal»: en.wikipedia.org/wiki/Fractal
so B stands for benoit B. mandelbrot?
Yep!
Half of the things you said I didn't understand 😂😂😂
I thought Benoit B.'s middle name doesn't exist, it's just the middle initial.
p5.js or vanilla javascript?
It's a Python: 3b1b.github.io/manim/ - many creators use this library
Dash
wait a minute I hear the number of fart💀💀
1:09