Turning Math Into Art With Beautiful Fractals

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Here's a compilation of the algorithms used to obtain the most famous and beautiful fractals, a clear example of how one can turn mathematics into art!
#maths #art #visualization #geometry #python #visual #algorithm #fractal #fractals #dragon #tree #snowflake #hilbert #fractalgeometry #coding #programming #visualprogramming #relaxing #manim
Visualization Tool: Manim library, Python

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5 май 2024

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Комментарии : 213

@zordon2311 7 месяцев назад

Hold on this isnt 3Brown1Blue

@Numb3rTr33 7 месяцев назад

I wish it was! 3blue1brown is a genius

@JJHJKM 7 месяцев назад

@@Numb3rTr33Almost Same with their videos

@yonaoisme 6 месяцев назад

WOW, what gave it away?

@enzorak 6 месяцев назад

There was no talking and also no 3blue1brown animation thing

@zordon2311 6 месяцев назад

@@enzorak can't make Jokes in 2023 nowadays can i

@deathbreach3448 7 месяцев назад

Not only are fractals a mathematical expression and art, they also express the kind of perfection that living organisms strive to replicate

@goutgueule9197 6 месяцев назад

@circumplex9552 6 месяцев назад

@goutgueule9197 can I be in the letter pfp club even if im not on fire

@goutgueule9197 6 месяцев назад

yes but you will melt@@circumplex9552

@DJPastaYaY 6 месяцев назад

Whats fascinating is that if there wasn't a limit to how many times we could fold paper, we could make the dragon curve just by folding a piece of paper over and over again!

@Mikelaxo 3 месяца назад

How?

@AxoYT_4 3 месяца назад

@@Mikelaxounbreakable charm of strength

@finnianreilly1831 3 месяца назад

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

@Tarou9000 7 месяцев назад

I made abstract art with neural networks, for each pair of x and y values it return rgb values, beautiful!

@Darsh.r.m_20 6 месяцев назад

I love how simple yet complicated they are at the same time

@capncaramell 7 месяцев назад

This is beautiful, I hope your channel gets more recognition!

@Numb3rTr33 7 месяцев назад

Thanks a lot! Unfortunately I don't have a lot of time to create stuff, but I always try to work on something

@TylevGD 6 месяцев назад

why does it feel like this is the perfect video to put a jumpscare

@decract 4 месяца назад

Congregation jumpscare?

@EntergeticalakaBot 3 месяца назад

Make the colors a image of congregation so it slowly dissolves into congregation

@antoniothegunexpert5955 7 месяцев назад

Only if math was like this...i would have actually learnt

@paulfeeder4262 6 месяцев назад

i once did the pythagorean tree but with the angle being random between like 30° and 60°. it was rlly nice bc you always got a new variant, but it was still clearly a tree

@Numb3rTr33 6 месяцев назад

Obviously 😆

@Darsh.r.m_20 6 месяцев назад

Where did you do it?

@circumplex9552 6 месяцев назад

@@Darsh.r.m_20they probably just wrote their own program

@MintAnimatesRebooted 5 месяцев назад

beautiful. The fact that you can make this with ANY shape blows my mind. i hope you make more videos like these!

@cwone3160 4 месяца назад

how is it that the levy curve is just the path that was traced by the Pythagorean tree in the first part when it kept expanding thats just amazing

@aravindmuthu95 3 месяца назад

I heard somewhere that fractals are the arch nemisis of the derivatives Where derivatives let things get simpler as we zoom in, fractals get more complicated as we zoom in

@Sinner487 16 дней назад

There's another pattern in all of these. One that is also perfect. The sine wave. The sound we crave. The sound you feel in your soul. How good your singing voice is, literally depends on how close it is to a sine wave. Listen to super auto tuned voices.

@mikaerehodgetts 6 месяцев назад

1 thing I noticed is that the Koch curve 85 shows up in the Pentaflake, and that the Koch snowflake shows up in the Hexaflake. I just think it's so cool that another Fractal show up in another.

@Numb3rTr33 6 месяцев назад

That's right!

@themountaindude 6 месяцев назад

2:30 man don't be so harsh on my guy Fibonacci

@lypths 6 месяцев назад

i was just vibing to this melancholy music. but the fractals are also beautiful ❤️

@veronicawilliamson4526 7 месяцев назад

How would you calculate/draw these?

@Numb3rTr33 7 месяцев назад

I use the python library Manim, but to create these fractals there's still quite a lot of code. Different algorithms for each one

@veronicawilliamson4526 7 месяцев назад

@@Numb3rTr33 thank you

@polsiv 6 месяцев назад

Enjoyed the video!

@samsongao366 7 месяцев назад

Oh yeah! This actually relaxes my brain without going outside. hahaha

@WAHAHAHAHAHAHA-Man 4 месяца назад

3:41 IS THAT THE CURVE OF 85?!?!!🤯🤯🤯

@Numb3rTr33 4 месяца назад

It is!

@ruthmaryrose 6 месяцев назад

There is so much beauty in the world it’s not possible to experience it all! R. L. Stevenson wrote❤ “The world is so full of a number of things, I’m sure we should all be as happy as kings.” Thank you for sharing some of that beauty to help spread happiness!

@worldview12 5 месяцев назад

So mesmerising...

@Mag3.1415 6 месяцев назад

They’re so pretty!

@Noob_TopDaBatata 6 месяцев назад

You need atleast 100k subs now, i love this interesting math videos, especially the ones with an amazing edition like your!

@Numb3rTr33 6 месяцев назад

Thank you! Really appreciated!

@bach2mach 7 месяцев назад

This is awesome!!! What is the music in the background? Thanks.

@Numb3rTr33 7 месяцев назад

Hi! the music is called "Cancion Triste 1502". Thanks!

@dianapeck3820 7 месяцев назад

4:25 turn and see something that looks like a n

@Ssacabambaspis 3 месяца назад

Wow i wish i had any clue about what is happening in front of me right now so I could fully grasp how insane this is. Crazy good animation btw! Instant sub

@eklavyamotghare 6 месяцев назад

8 mins of utter peace

@I-have_phonophobia 6 месяцев назад

It was until stupid lil angela said ‘hey gouis win 5000 miny in comp dress’ in that 321go voice

@komolkovathana8568 6 месяцев назад

Branches in plant/tree's Roots and Trunks, Organ branch in Animal's Lung, Kidney, Capillary branches of Blood vessels.. Mollusc' s Shell..(Ammonite) !?!

@blazingstar9638 6 месяцев назад

This is so beautiful

@TypicalPythonCoder 2 месяца назад

This is beautiful

@magefreak9356 6 месяцев назад

Beautifully made

@Numb3rTr33 6 месяцев назад

Thanks a lot!

@nightflareplayz2009 5 месяцев назад

what a well made video! you deserve more credit!

@Numb3rTr33 5 месяцев назад

Thanks! Hopefully I'll grow more

@KojiWada060724 3 месяца назад

I think, Koch's Anti-Snowflakes looks like "Koch's MITSUBISHI"

@royphjd 5 месяцев назад

Beautiful 😊

@kidredglow2060 7 месяцев назад

COOL! :)

@catcherintheeye 6 месяцев назад

These are simply beautiful. Great job! (and may I know the background music you used? It sounds very peaceful)

@Numb3rTr33 6 месяцев назад

Thank you! The background music is called "Canción Triste 1503"

@catcherintheeye 6 месяцев назад

@@Numb3rTr33Welcome, your work totally deserves everything. And for the song, thanks!

@glitching_teapot 5 месяцев назад

Levy Curve is just a buffed up guy who’s showing off his muscles

@sureshbabu-yl6ve 6 месяцев назад

Good work, continue 👍👏🏻💐

@Numb3rTr33 6 месяцев назад

Thanks a lot, I will!

@CeresouslyAnimates165 4 месяца назад

Some curves on the Koch Anti-Snowflake look like the Koch Snowflake

@Numb3rTr33 4 месяца назад

It is the same curve reversed!

@CeresouslyAnimates165 4 месяца назад

What’s your favorite fractal @@Numb3rTr33

@eilandihis4696 6 месяцев назад

this is amazing... also is it to see that by playing around myself with coding random stuff in python I "reinvented" some of those... 😒 very nice video :)

@Numb3rTr33 6 месяцев назад

Reinventing fractals is wonderful! You sometimes find some crazy intriguing images no one ever found before!

@eilandihis4696 6 месяцев назад

the best is when you try to do something, don't make it, but find plenty of interesting patterns on the go, thus making you test more... letting you explore the fractally multiplying branches of possibilities. If that makes sense 🤔@@Numb3rTr33

@ceejay8328 6 месяцев назад

3:17 the way I shouted “MITSUBISHI”

@mysyntax1311 7 месяцев назад

could you opensource the code we can learn from it

@Numb3rTr33 7 месяцев назад

Sure, I will next time!

@leonciopina3618 6 месяцев назад

Entonces debo suponer que la estructura de un átomo debe responder a un modelo fractal, ya que en su gran mayoría el "volumen" que abarca un átomo está vacío como se representa en la ilustraciones de los fractales

@pvzpokra8602 6 месяцев назад

beautiful is all i have to say about this

@konohappiness7481 6 месяцев назад

I cried watching this

@Numb3rTr33 6 месяцев назад

I'll make you cry even more with the next video coming in a few hours 😁

@shellcooke6606 7 месяцев назад

6:06 hilbert curve is like a maze

@Numb3rTr33 7 месяцев назад

True! 🤭

@pvzpokra8602 6 месяцев назад

to me, the second iteration looks like a castle (it is upside down in this video)

@Mr.Smiler1 2 месяца назад

I made reverse version of the triangle 5 pixel up and 1 pixel right at the corner same as the left one and repeat

@4U70_DeadAuto 6 месяцев назад

fun fact: the quad koch curve is ALSO known as the "seed"

@SuperMario-vc4ew 5 месяцев назад

Fun Fact: If you tilt your screen sideways when the H-I De Rivera Fractal shows up, it looks like a Detailed I-Beam

@thepixelatedpacman 6 месяцев назад

underrated

@geeteevee7667 6 месяцев назад

You aced 3B1B’s style PERFECTLY!

@Numb3rTr33 6 месяцев назад

Thank you! However 3b1b is able to create very complex and clear animations which require a lot of time (that I don't have unfortunately). Furthermore, Grant Sanderson is an extraordinary expositor. I'll try to get better at these things as well, right now I ask you guys to like share and sub to support me, hopefully I'll become a high quality creator at some point ☺️

@redtreestimeline8960 5 месяцев назад

Hexaflake=David’s Star Maximus

@I-have_phonophobia 6 месяцев назад

So calm a single ad could scare you

@Perplaxus 6 месяцев назад

Please more of this relaxi g math animations

@Numb3rTr33 6 месяцев назад

Working on a new one!

@WAHAHAHAHAHAHA-Man 4 месяца назад

5:50 So that's why mazes look strange.

@Kostya8888 6 месяцев назад

I cried from such sad music

@Satie84 6 месяцев назад

The hexaflake looks like a snowflake with a koch snowflake with a koch snowflake and so on to infinity koch snowflakes.

@Numb3rTr33 6 месяцев назад

That's the beauty of fractals! They're so mind-blowing...😵‍💫

@CeresouslyAnimates165 4 месяца назад

The Levy Curve looked like it was shrinking

@Numb3rTr33 4 месяца назад

It did. The whole image was not maintained at the same size, but rescaled accordingly to the new fraction size

@Tk42tk 4 месяца назад

Could anyone tell me the name of song playing in video.sound really peaceful for me.

@Numb3rTr33 4 месяца назад

It is called "Cancion triste 1502"

@victorhmingthanmawia4773 7 месяцев назад

Trigogogo

@Wangbw 6 месяцев назад

I need more, pls. pls

@Just_Json 6 месяцев назад

*The Hilbert Curve creates you a perfect maze*

@trifonmag4205 5 месяцев назад

Not really a maze since you can't get lost in it, just walk along the path and you'll eventually exit it

@Just_Json 5 месяцев назад

Perfect maze for babies I think

@CeresouslyAnimates165 4 месяца назад

THE HILBERT’S CURVE IS MY FAVORITE FRACTAL!!!!!!!!!

@CeresouslyAnimates165 4 месяца назад

Although the Moore Curve stole from it

@CeresouslyAnimates165 4 месяца назад

😡

@lauracarroll3276 4 месяца назад

Interesting

@khoale5071 5 месяцев назад

Love

@shikaishik 2 месяца назад

綺麗ですね

@VladVideos0 6 месяцев назад

there are infinity koch snowflakes in the hexaflake

@muhammadbinshfique740 5 месяцев назад

your work is genius i might end up being ur student

@Numb3rTr33 5 месяцев назад

You're too generous! That was pure coding😁

@muhammadbinshfique740 5 месяцев назад

@@Numb3rTr33 i am rn learning coding as a self taught dev i will be interested in learning how and u did it

@Numb3rTr33 5 месяцев назад

@@muhammadbinshfique740 sure. I'm a self-taught as well. This one has been created with Python, using the library Manim

@eggheadusa9900 6 месяцев назад

One time I fell through the floor once and three times and four nights I knew it, the key was three

@rqns 5 месяцев назад

This music makes me feel uncomfortable 💀

@Numb3rTr33 5 месяцев назад

Why is that?😔

@humbertorodriguezperez1214 6 месяцев назад

Starburst dendrimers

@ar25k46 6 месяцев назад

I don’t see the pattern in quadrisnowflake, why aren’t there more iterations

@Numb3rTr33 6 месяцев назад

Hi! The quadriflake starts with a square, then, it divides itself into 4 smaller self-similar parts, rotated by 45 degrees. Each one of these squares does the same and it keeps going on the same way!

@ar25k46 6 месяцев назад

@@Numb3rTr33 so in the final fractal after infinite iterations, does it look like 45 degrees turned or no?

@Numb3rTr33 6 месяцев назад

@@ar25k46 no, it would still look like a cross made up of infinitely small squares, like what you see here😄

@ar25k46 6 месяцев назад

@@Numb3rTr33 ohh ok thx

@Numb3rTr33 6 месяцев назад

@@ar25k46 you're welcome! And by the way every fractal you see here is already close to convergence

@nbon- 5 месяцев назад

3:19 mitsubishi

@mathanimation7563 4 месяца назад

Could you provide me code of this video

@antimateriaali 6 месяцев назад

Dragon curve looks more like a sea horse curve

@Numb3rTr33 6 месяцев назад

Nice observation!

@freon8933 3 месяца назад

Song?

@tasnimfarah6139 3 месяца назад

❤

@royphjd 5 месяцев назад

Plankton

@Tiger_131_88 6 месяцев назад

3:18 Sponsor By Mitsubishi😂

@oni0ni0n 4 месяца назад

Such a beautiful art. But this recall me trypophobia

@MKXD2010 6 месяцев назад

1:31 triforce

@anakinmeh928 6 месяцев назад

you are a fucking genius

@Numb3rTr33 6 месяцев назад

Thank you sir, I wish I was actually 😆

@firmanirawan9843 7 месяцев назад

Bro its more like broccoli😂

@viewanaprapa887 6 месяцев назад

Didn’t know Brent had a secret sibling named H-I de

@AlekBernardOfficial9 6 месяцев назад

Oh look here are youre friends.

@crazydog1750 6 месяцев назад

You can't imagine the shock I had when I saw the subscriber count was less than 1,000... I thought you were one of those popular guys with like 100K subs while I was watching and was somehow wrong about it.

@Numb3rTr33 6 месяцев назад

That really makes me glad and gives me hope! To be honest, half of my actual subs and these 36k views came in one week with this video which suddenly "exploded". Hopefully it's going to get more popular. At the moment I'm working on another one!

@crazydog1750 6 месяцев назад

@@Numb3rTr33 Yeah, I feel that. I was mega tiny for a long time then all of a sudden after

@number61802 5 месяцев назад

2:02 It's not Sierpinski Carpet, it's Menger Sponge.

@Numb3rTr33 5 месяцев назад

Try to google it! 😄

@CeresouslyAnimates165 4 месяца назад

3D Sierpinski Carpet is named Menger Sponge

@royphjd 5 месяцев назад

Wow that happened

@demoncoregiblet 6 месяцев назад

where's mandelbrot, Numb3? Where are my rabbits?

@Numb3rTr33 6 месяцев назад

I knew someone would ask me that at some point 😄 it's already planned and in work in progress for the future!

@redstocat5455 6 месяцев назад

You are an tree made from number, are you ?

@Numb3rTr33 6 месяцев назад

I am🤭

@redstocat5455 6 месяцев назад

@@Numb3rTr33 I undercover your cover !

@theman34234 7 месяцев назад

this seems really cool to code but im learning java and im only a beginner :(

@Numb3rTr33 7 месяцев назад

Little by little you can get very far!

@iamthechannel5885 6 месяцев назад

tree 3 is just tree tree 2 and tree 2 is just tree (tree 1 + tree 1)

@dianapeck3820 6 месяцев назад

It is Growing But start srinking 7:08

@weskerwillie9044 4 месяца назад

Life...

@dianapeck3820 7 месяцев назад

………coolness………..OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO