Turning Math Into Art With Beautiful Fractals

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

[deathbreach]

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

[Sir-Darmstadt]

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

[finnianreilly]

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

[paulfeeder]

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

[cwone]

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

[aravindmuthu]

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

[capncaramell]

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

[DJPastaYaY]

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!

[mikaerehodgetts]

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.

[Tarou]

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

[antoniothegunexpert]

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

[gaimnbro]

i imagine sound effects everytime these fractals go up 1 level its just so crazy

[zkesong]

It looks like a blurred picture being sharpened

[random-xdu]

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

[TylevGD]

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

[Ssacabambaspis]

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

[dscocubes]

the dragon curve looks more like a sea horse ngl

[lypths]

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

[bachmach]

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

[lakshithr]

*_ABSOLUTELY GORGEOUS AND STUNNINGLY BEAUTIFUL!!!_*