The Newton art puzzle

Thanks to these viewers for their contributions to translations
French: PyStL
Spanish: Yago Iglesias

[lolok]

planes in 3D space: look at what they need to mimic a fraction of our power

[Rena]

The blue part being ever so slightly misaligned was driving me crazy

[sassyscorpio]

the moment you started adding smaller dots, i immediately knew it was a fractal. I love fractals, they are so fascinating

[johnturki]

I love how simple these shorts are then when I click on the full video it is all math that goes right over my head. I'm still going to watch it though.

[minecraft_villager_hmmm]

MANDELBROT'S SET
I was literally just learning about that its so fascinating istg

[fissis]

Wasnt expecting the mandelbrot set there, i got jumpscared lol

[BeguillingMirage]

Fractals aren’t solutions, they are an infinite, non-convergent ingress of “well you won’t know for certain it’s impossible until you look a little closer!”

If you can’t win, stalemate.

[ahmadmneimneh]

Mathematicians just don't want to admit that something is impossible

[jaymercer]

I love newton fractals. In my last numerical analysis course I had to investigate what root of x^5-1=0 each point in the complex plane will converge to as an initial point using Newtons Method and was really excited to see a fractal appear. Was a lot of fun.

[venombeetle]

And here I thought I was supposed to actually solve it with my bear hands.

[shmello]

It feels like your creating solutions to problems that dont exist

[thefoxking]

“red and green” that’s *clearly* turcoise mr bloe borwn

[morgan.arthur]

this is like one of those weird things you’d think about that just doesn’t make sense to think about, and you think nobody else has thought about it

[tyleranderson]

The Mandelbrot set showing up blew my mind

[lekaas]

The mandelbrotset haunts my nightmares

[ajaykrishna]

I love mandelbrot sets that look so satisfying the more you try and understand it, the more your mind bends unnaturally. One of many things man was never meant to understand.

[amondhawes-khalifa]

"It's not impossible! All you need to do is make an infinitely repeating loop of smaller and smaller fractals, decreasing forever!"

Bruh, you can just say it's impossible. We aren't gonna judge you.

[givrally]

If you set three magnets in a triangle around an iron pendulum, and for each possible starting position, you assign it a color depending on the magnet it lands on, then the resulting coloring has the same property !
That's because if you're on the boundary between two colors, then there's a point along the trajectory where the forces of the two magnets cancel each other and the third magnet wins. In a way, it's the same thing with Newton's method, where each solution attracts nearby points.

[feartheghus]

My first thought was not to put them together the way you did, but since we are in three dimensions you line each up so they all had one edge meeting in the center and don’t meet on any other edge. That way all three are connected at the line, and you just have three fins that don’t otherwise touch each other.

[TabbyVee]

my favorite part which is simultaneously infuriating about this fractal is that despite every border point technically being a border between all 3 colors, its something that you can never see occur no matter how deep you zoom in. We know that every single point borders all 3 colors but you just... cant see it.