The Beauty of Fractal Geometry (

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...

[@geometry_manim]

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]

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

[@NaviaryMusic]

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

[@geometry_manim]

@@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]

@@geometry_manim Okay! Nice :)

[@deepdude4719]

Please keep uploading

[@eriktempelman2097]

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]

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

[@user-of9sr8bm9i]

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.

[@geometry_manim]

Thank you!

[@angeldude101]

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]

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

[@PowerhouseCell]

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]

Thank you very much! New video is coming soon!

[@sumankalyantripathy7413]

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]

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]

@@geometry_manim Definitely. 🙌🏻🙌🏻

[@user-bc1kx8bw3b]

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

[@michal_wieczorek]

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]

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

[@tylosenpai6920]

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

[@cwk5008]

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

[@MaximSchoemaker]

Gorgeous animations ^^ ✨

[@azrakgd2022]

this is like every equation in aleph-0 explained

[@sarahpn2695]

Beautiful, thank you for sharing

[@Zenzicubic]

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

[@asivoyfamily]

узнал дикого математизатора! Моё почтение!

[@fredoverflow]

Does the B. stand for Benoit B. Mandelbrot?

[@geometry_manim]

Exactly!

[@alvarobyrne]

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

[@NaviaryMusic]

Very well made! I will watch videos of this nature

[@jeffcummings3842]

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

[@iamtraditi4075]

Instant sub. Beautiful work :)

[@geometry_manim]

Many thanks!

[@drozfarnyline4940]

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]

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]

same!

[@bettercalldelta]

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

[@geometry_manim]

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

[@AlexanderB41]

Beautiful video!

[@bonbondojoe1522]

This is so beautifully and satisfyingly animated Holy fuck

[@irfanmuzaki6698]

Well yeah. Thats why i love fractals thing its beautiful

[@johnmitchelljr]

Well done. Thank you.

[@maximiliankrausechavez2265]

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

[@superspazzninja5297]

3:43 JOJO REFRENCE!!!

[@Ocraftj]

holy crap this is so high quality

[@kendakgifbancuher2047]

I bet that B means "Benoit B. Mandelbrot"

[@HyperX755]

Ok wait that’s pretty funny

[@pra.]

great animations!

[@geometry_manim]

Thanks a lot!

[@emmanuelnwafor6552]

This video is so cool.

[@randy7894]

Super nice animated!

[@nathankoziol7368]

1:08 nice fade

[@finnianreilly1831]

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

[@user-ir8nd6mj2b]

Вайлд, ты ли это? :0

[@geometry_manim]

Nope!

[@fullfungo4476]

kzbin.info/www/bejne/pIeUeq2oeLume9k Конечно

[@zemoxian]

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.

[@larryriddle81]

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

[@josemariaoviedo5607]

awesome

[@c4nc3rand4ut1sm]

i feel bad for the people with trypophobia.

[@miffop]

Точно, Wild math на английском, голос знакомый

[@ringothounaojam6580]

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

[@alexvasilevskaya8728]

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

[@ThankYouESM]

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.

[@jennycotan7080]

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

[@scratchthecatqwerty9420]

That's some wild math!

[@geometry_manim]

There's a little bit of that!

[@Illogical.]

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]

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

[@Illogical.]

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

[@johnchessant3012]

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]

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

[@drozfarnyline4940]

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

[@geometry_manim]

@Droz Farny Line , yeah! Yesterday I saw this wonderful video: kzbin.info/www/bejne/nZu4amBrf7uLjtU - 4 dogs too

[@LittleFarmLife1637]

I see PewDiePie

[@cKoruss]

which BGM did you used?

[@samcoding]

This channel needs more subscribers

[@geometry_manim]

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

[@lizasovereign2840]

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

[@codatheseus5060]

Them animations tho!

[@fennyfeodora9212]

What is the song

[@Joffrerap]

so B stands for benoit B. mandelbrot?

[@geometry_manim]

Yep!

[@DeenBoi]

Delicious

[@serineljr5037]

0:54 AYO SUS💀💀💀

[@David280GG]

?

[@phyarth8082]

Mandala{brot} person whom coined fractal geometry.

[@tasnimfarah6139]

❤

[@ThEmArIS1]

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

[@geometry_manim]

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

[@vindi167]

this reminds me a LOT of 3Blue1Brown

[@jackdeago3639]

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

[@bernatesteve1418]

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

[@jimmymason7461]

p5.js or vanilla javascript?

[@geometry_manim]

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

[@d3r4g0d8]

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

[@AnnetteEllington]

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

[@scarytear6666]

1:09

[@mrchutagd5384]

Dash

[@hengkysoh29]

wait a minute I hear the number of fart💀💀