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!
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
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.
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
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
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!
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 ☺️
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!
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
@LaTinkaLoterias179 me la suda, yo escribo en mi idioma. Si no te parece, entonces publica solo para los ingenuos que te "siguen". Vive bien, que Ala te cuide.
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 :)
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
Branches in plant/tree's Roots and Trunks, Organ branch in Animal's Lung, Kidney, Capillary branches of Blood vessels.. Mollusc' s Shell..(Ammonite) !?!
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.
0:22 that’s a rhombus on a stick 0:47 that’s your profile picture without the right colours 1:16 you warped your profile picture now 1:35 you know where this is going to go? 2:01 ⏥␁ 2:21 HHHHHHHHHHHHHHHHHHHHHHHHH 2:440:22 are the same 3:04 who took a bite at the edges of my circle 3:24 that’s not anti tbh 3:53 bfdia 5 4:23 that just looks like intestines 4:37 - 5:17 stop with the flake 5:50 HHHHHHHHHH.HHHHH 5:59 that’s just a square now 6:09 A 6:14 let’s see we have every penta minnow now some tetrominoes 6:27 that’s all so just a square 6:45 that looks like the game cube intro 6:53 now that’s a hexagon 7:13 M 7:280:47 is the same 8:00 that’s the y Pentomino and I paused at eight 8:18 that’s just copy and paste (Not to be mean, but what is this?)
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.
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!
Hold on this isnt 3Brown1Blue
I wish it was! 3blue1brown is a genius
@@Numb3rTr33Almost Same with their videos
WOW, what gave it away?
There was no talking and also no 3blue1brown animation thing
It’s just the same animation program that 3Blue1Brown actually made.
Not only are fractals a mathematical expression and art,
they also express the kind of perfection that living organisms strive to replicate
Hi
@goutgueule9197 can I be in the letter pfp club even if im not on fire
yes but you will melt@@circumplex9552
I love how simple yet complicated they are at the same time
Yep simplicity can evolve into complexity
There is a fun software called Matryoshka that allows to play with geometric fractals using photo montage.
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!
How?
@@Mikelaxounbreakable charm of strength
3:41 IS THAT THE CURVE OF 85?!?!!🤯🤯🤯
It is!
Hello@@Numb3rTr33! Nice to meet you watching your vids!
Hello @@Numb3rTr33. 3:41 Is a Koch curve of 85
@@MonobarfractalHow your face like that in your channel?
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
Obviously 😆
Where did you do it?
@@Sir-Darmstadtthey probably just wrote their own program
0:59 Is this you?
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
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.
That's right!
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
This is beautiful, I hope your channel gets more recognition!
Thanks a lot! Unfortunately I don't have a lot of time to create stuff, but I always try to work on something
I made abstract art with neural networks, for each pair of x and y values it return rgb values, beautiful!
Only if math was like this...i would have actually learnt
Levy Curve is just a buffed up guy who’s showing off his muscles
FR
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
i imagine sound effects everytime these fractals go up 1 level its just so crazy
It looks like a blurred picture being sharpened
why does it feel like this is the perfect video to put a jumpscare
Congregation jumpscare?
Make the colors a image of congregation so it slowly dissolves into congregation
Because fractals are natures visual anti anxiety medicine, perfect for lulling someone into a false sense of security!!
Yes
You from absolute infinity rpm spin
i was just vibing to this melancholy music. but the fractals are also beautiful ❤️
3:17 the way I shouted “MITSUBISHI”
This is awesome!!! What is the music in the background? Thanks.
Hi! the music is called "Cancion Triste 1502". Thanks!
the dragon curve looks more like a sea horse ngl
*_ABSOLUTELY GORGEOUS AND STUNNINGLY BEAUTIFUL!!!_*
i forgot to put 2:06
These are simply beautiful. Great job! (and may I know the background music you used? It sounds very peaceful)
Thank you! The background music is called "Canción Triste 1503"
@@Numb3rTr33Welcome, your work totally deserves everything. And for the song, thanks!
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!
Fun fact! The hexaflake actually contains Koch Snowflakes in later iterations.
This video is the gate to heaven.
3:18 i saw Mitsubishi logo
I cannot unsee it
You need atleast 100k subs now, i love this interesting math videos, especially the ones with an amazing edition like your!
Thank you! Really appreciated!
You aced 3B1B’s style PERFECTLY!
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 ☺️
The Levy Curve looked like it was shrinking
It did. The whole image was not maintained at the same size, but rescaled accordingly to the new fraction size
How would you calculate/draw these?
I use the python library Manim, but to create these fractals there's still quite a lot of code. Different algorithms for each one
@@Numb3rTr33 thank you
They’re so pretty!
I don’t see the pattern in quadrisnowflake, why aren’t there more iterations
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!
@@Numb3rTr33 so in the final fractal after infinite iterations, does it look like 45 degrees turned or no?
@@ar25k46 no, it would still look like a cross made up of infinitely small squares, like what you see here😄
@@Numb3rTr33 ohh ok thx
@@ar25k46 you're welcome! And by the way every fractal you see here is already close to convergence
Enjoyed the video!
Oh yeah! This actually relaxes my brain without going outside. hahaha
what a well made video! you deserve more credit!
Thanks! Hopefully I'll grow more
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
@LaTinkaLoterias179 me la suda, yo escribo en mi idioma. Si no te parece, entonces publica solo para los ingenuos que te "siguen". Vive bien, que Ala te cuide.
Beautifully made
Thanks a lot!
Could anyone tell me the name of song playing in video.sound really peaceful for me.
It is called "Cancion triste 1502"
A lot of this fractal you can make with symmetry, 90° rotation and repetition
Fun Fact: If you tilt your screen sideways when the H-I De Rivera Fractal shows up, it looks like a Detailed I-Beam
could you opensource the code we can learn from it
Sure, I will next time!
2:30 man don't be so harsh on my guy Fibonacci
2:46 the Celtic
This is beautiful
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 :)
Reinventing fractals is wonderful! You sometimes find some crazy intriguing images no one ever found before!
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
This is beautiful
0:36 you
Make a Heptaflake
3:17 Handa!
Could you provide me code of this video
I would like that you, show us how to do those fractals :) teach us on python how to that please❤
So calm a single ad could scare you
4:57 looks like a flower! 😮
fun fact: the quad koch curve is ALSO known as the "seed"
4:25 turn and see something that looks like a n
Branches in plant/tree's Roots and Trunks,
Organ branch in Animal's Lung, Kidney, Capillary branches of Blood vessels..
Mollusc' s Shell..(Ammonite) !?!
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.
Where it is possible to find these codes?
8 mins of utter peace
It was until stupid lil angela said ‘hey gouis win 5000 miny in comp dress’ in that 321go voice
Which was a add
This is so beautiful
3:17 very good Japanese reliable cars!
Mandelbrot set?
5:50 So that's why mazes look strange.
I cried from such sad music
6:06 hilbert curve is like a maze
True! 🤭
to me, the second iteration looks like a castle (it is upside down in this video)
Welcome to the backrooms
I need more, pls. pls
Please more of this relaxi g math animations
Working on a new one!
I made reverse version of the triangle
5 pixel up and 1 pixel right at the corner same as the left one and repeat
The Hilbert Curve creates you a perfect maze
Not really a maze since you can't get lost in it, just walk along the path and you'll eventually exit it
Perfect maze for babies I think
THE HILBERT’S CURVE IS MY FAVORITE FRACTAL!!!!!!!!!
Although the Moore Curve stole from it
😡
Pythagorean tree also have two fractals:C curve and Pythagorean tree 345
Dragon curve looks more like a sea horse curve
Nice observation!
0:22 that’s a rhombus on a stick
0:47 that’s your profile picture without the right colours
1:16 you warped your profile picture now
1:35 you know where this is going to go?
2:01 ⏥␁
2:21 HHHHHHHHHHHHHHHHHHHHHHHHH
2:44 0:22 are the same
3:04 who took a bite at the edges of my circle
3:24 that’s not anti tbh
3:53 bfdia 5
4:23 that just looks like intestines
4:37 - 5:17 stop with the flake
5:50 HHHHHHHHHH.HHHHH
5:59 that’s just a square now
6:09 A
6:14 let’s see we have every penta minnow now some tetrominoes
6:27 that’s all so just a square
6:45 that looks like the game cube intro
6:53 now that’s a hexagon
7:13 M
7:28 0:47 is the same
8:00 that’s the y Pentomino and I paused at eight
8:18 that’s just copy and paste
(Not to be mean, but what is this?)
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.
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!
@@Numb3rTr33 Yeah, I feel that. I was mega tiny for a long time then all of a sudden after
How Did You Do That?
Coded with Manim library, in python. Requires a bit of study, but once you start you learn it quick!
Good work, continue 👍👏🏻💐
Thanks a lot, I will!
One time I fell through the floor once and three times and four nights I knew it, the key was three
there are infinity koch snowflakes in the hexaflake
The hexaflake looks like a snowflake with a koch snowflake with a koch snowflake and so on to infinity koch snowflakes.
That's the beauty of fractals! They're so mind-blowing...😵💫
1:31 triforce
The second itteration of the hilbert curve kinda reminds me of a minecraft creeper face
in hexaflake, i'm seeing koch snowflakes too
Hilbert and Gosper were strangers in real life(im dont speak english, iam Brazilian. And, this a joke)
Fractals are awesome.
I think, Koch's Anti-Snowflakes looks like "Koch's MITSUBISHI"
Song?
beautiful is all i have to say about this
3:19 mitsubishi
One of the chapters is 3:14
So mesmerising...
6:07 Oh hail naw. A creeper
your work is genius i might end up being ur student
You're too generous! That was pure coding😁
@@Numb3rTr33 i am rn learning coding as a self taught dev i will be interested in learning how and u did it
@@muhammadbinshfique740 sure. I'm a self-taught as well. This one has been created with Python, using the library Manim
the sirpenski carpet in 3d is the menger sponge
Some curves on the Koch Anti-Snowflake look like the Koch Snowflake
It is the same curve reversed!
What’s your favorite fractal @@Numb3rTr33
i don't think my laptop can handle this💀
Beautiful 😊
that looks like the shape player from game inside a game
i hate the fact that you're not famous enough! this has to get more fame but youtube does its thing to push content creators like you far back :(
2:14 H fractal
0:07 the best by far organ in the body
underrated