The Newton art puzzle

Рет қаралды 7,306,101

7 ай бұрын

A link to the full video is at the bottom of the screen. Or, for reference: • From Newton’s method t...
Thanks to these viewers for their contributions to translations
French: PyStL
Spanish: Yago Iglesias

Пікірлер: 1 500

@3blue1brown 7 ай бұрын

A link to the full video is at the bottom of the screen. Or, for reference (though links in comments are disabled): kzfaq.info/get/bejne/Y7iUgtqZ0te0Zac.html

@Volt64bolt 7 ай бұрын

Wha if you just burnt the paper and put it in a jar and shook it.........

@dhavalmysore 7 ай бұрын

I watched your video on "using the link in the bottom of the screen," but I don't see a link on the screen! Just your icon that takes me back to this short or the title, which takes me to your channel. But nothing that takes me to the full video. I'm browser on my mobile but on mobile mode and not desktop mode. Is this something only in the KZfaq app?

@quintonconoly 7 ай бұрын

@Wraithguard92 7 ай бұрын

On the youtube app, there a small triangle just underneath the channel symbol on the left. That is the link. I don't know about fullbrowsers.@@dhavalmysore

@TheSpiritombsableye 7 ай бұрын

You must be color blind. That isn't green. 💚

@lolok6439 7 ай бұрын

3d planes: look at what they need to mimic a fraction of our power

@janinipizzicato 7 ай бұрын

This comment is absolute gold, i love it!!!

@nargacugalover 7 ай бұрын

Swiggly lines: *"Pathetic"*

@anantnarayandash4629 7 ай бұрын

i dont understand

@polpojliekwanjaroen3511 7 ай бұрын

Lmao

@kkuwura 7 ай бұрын

It would be spaces, not planes, actually, if it’s 3D 🤓

@yasser5846 7 ай бұрын

I was thinking going 3D 😅

@epicgamer-ur1wg 7 ай бұрын

Well if i’m not mistaken fractals have fractional dimensions, this one should be between 2 and 3, so you may be on to something

@minecraftcommandnerd1280 7 ай бұрын

Well how do you solve it there tho? Now you have surfaces as boundaries. But clean surfaces only have two sides again. So you have to go up to infinite resolution again. Or am I missing something big?

@user-yd2ye2uh2c 7 ай бұрын

@@minecraftcommandnerd1280different colours on axis could solve the problem, as long as you create a diagonal that goes through all 3 (xyz) it should theoretically work. you'd basically create surfaces for xy,xz,yz going 0xy:z,0xz:y,0yz:x (basically any point in the 3rd dimension, that isn't on a null position, can divide it's touching faces into at least 3 different states/colors ex. 0xz:xyz,0xyz:xy,0yz:xyz)

@mayankpawar5398 7 ай бұрын

actually it would make a new problem as you try to add as many shapes to it, all those shape' edges must now be touching the boundaries of two other shapes with different colors. correct me if I'm missing something

@bilolbakhrillayev 7 ай бұрын

saame

@thefoxking4463 7 ай бұрын

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

@scientificapple69 5 ай бұрын

It's definitely green.

@PopsiCho 4 ай бұрын

*turquoise 🤓☝️

@athilhenderson971 3 ай бұрын

I guess me and @thrfoxking4463 are both colorblind ngl

@michalsobotka7558 3 ай бұрын

That's blue

@rangerreed7038 2 ай бұрын

Definitely blue

@venombeetle7473 7 ай бұрын

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

@RoboBoddicker 7 ай бұрын

Any time I try to solve a problem with my bear hands I end up tearing everything apart with my massive paws and sharp claws.

@The_Legend47 4 ай бұрын

*bare

@spongbong0 4 ай бұрын

😂@@RoboBoddicker

@LuisGustavoBD 2 ай бұрын

🧸👐

@user-cl4oi9fe5o 2 ай бұрын

You have bear fists?

@johnturki2634 7 ай бұрын

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.

@tschantz 7 ай бұрын

There was no math in this video

@ConstantDerivative 7 ай бұрын

@@tschantzthis is a shortened version of a full video, that does have some math

@chaomatic5328 7 ай бұрын

I will watch it, and I will leave a like, and so will you

@RunstarHomer 4 ай бұрын

@@tschantz Everything in this video is math. Math is not just numbers and equations

@fissis1955 7 ай бұрын

Wasnt expecting the mandelbrot set there, i got jumpscared lol

@rusasod 7 ай бұрын

same, at least we didn't fall in

@suddeneevee9441 7 ай бұрын

Even as a math-fan, I would never have expected to see 'Mandlebrot' and 'jumpscare' in the same sentence. But yeah, a real surprise to see a Mandlebrot shape in a fractal from Newton's method

@goatman86 7 ай бұрын

Oh I felt that bastard was coming the moment he put those first shapes on the lines. Math is wild.

@carlosmontes6999 7 ай бұрын

The lakes of Wada is the equivalent

@brandonn6099 7 ай бұрын

You can put any shape in there. Circles, ovals, diamonds, and Mandelbrots. I don't think it arises naturally in any way.

@Rena152 4 ай бұрын

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

@techatina 4 ай бұрын

I went into the comment section to see if anyone felt the same. Glad to know I'm not alone lol

@Wanpang45 Ай бұрын

Me too

@nickevers9263 6 ай бұрын

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.

@ERROR-ei5yv 4 ай бұрын

Fractals *are* convergent. You carry this process out to infinity, and you literally have exactly this fractal with exactly the border-color-touching property. Its not stalemate, it is a literal solution

@BlueRiptide 4 ай бұрын

@@ERROR-ei5yv lol but its not a *real* solution that would work, because if you apply it in real life the further you zoom in, the smaller and smaller the atoms will get and then you will realize that all 3 'colors' dont touch at every single point. even if we ignore the fact that colors wouldnt exist the further and further you zoom in. the whole thing is just explaining it with infinity. if it never ends then it works, but the whole point is to zoom in and make sure the colors actually touch at every point. so it's imaginary

@muhammadyounus7643 4 ай бұрын

so 0.9999... is not a real number?

@ERROR-ei5yv 4 ай бұрын

@@BlueRiptide That's how math works. Nothing in math "exists in real life." There are no perfect circles in the real world, numbers don't go on forever, etc. Math studies ideals

@BlueRiptide 4 ай бұрын

@@ERROR-ei5yv i know that. but the problem was a real world problem lol. my point here is that the answer is just an infinite fractal that we never get to the end of

@ahmadmneimneh 7 ай бұрын

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

@MadaxeMunkeee 7 ай бұрын

There are plenty things in mathematics that are impossible

@cordeerellony1863 7 ай бұрын

Where do you even get that idea from? Math is the way we have to learn about the universe and beyond, but it doesn't mean it has no laws, rules and boundaries. Mathematicians and scientists know this very well, they're just trying to really push the limits and polish the knowledge we have about everything.

@ahmadmneimneh 7 ай бұрын

@@cordeerellony1863 they just take something impossible and decide to somehow make it exist. Like what the hell are imaginary numbers? Why do we need the root square of -1? What does it even help us with?

@Rockyzach88 7 ай бұрын

Mathematicians have to prove something is impossible. See problems such as the Halting Problem.

@geniuz4093 7 ай бұрын

Through math, yes. Which is unnecessary because you can use pure logic instead.@@Rockyzach88

@lekaas4908 7 ай бұрын

The mandelbrotset haunts my nightmares

@rusasod 7 ай бұрын

I am so terrified of it, I'm glad I am not alone

@lekaas4908 7 ай бұрын

But it actually is...

@orang1921 7 ай бұрын

That wasn’t the Mandelbrot set

@rusasod 7 ай бұрын

@@orang1921 what was it then

@orang1921 7 ай бұрын

@@rusasod just some fractal that slightly resembled it (because most fractals look like it)

@etherealemily4901 7 ай бұрын

You did not just call that green

@pigeongod3450 7 ай бұрын

I was waiting for someone to point that out

@abhaytyagi6179 6 ай бұрын

That is green

@theodoreroberts8242 6 ай бұрын

@@abhaytyagi6179 That color is somewhat light pewter blue.

@JacksonMmmm 6 ай бұрын

Bro, I was thinking the same thing

@abhaytyagi6179 6 ай бұрын

@@theodoreroberts8242 there's a hint of blue in there but that is not what it is. It's a type of green.

@sassyscorpio5537 4 ай бұрын

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

@CATel_ 7 ай бұрын

Math is cool.

@pokichuu 7 ай бұрын

Maths is awesome sauce

@qbojj 7 ай бұрын

*meth

@CATel_ 7 ай бұрын

@@qbojj math is required to make meth. By extension, math is cool, even cooler than meth

@SoneNando 7 ай бұрын

@@CATel_philosophy beats it.

@helphowdoinputusername3571 7 ай бұрын

@@SoneNandonah.

@TabbyVee 7 ай бұрын

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.

@Qualicabyss 4 ай бұрын

The biggest problem is there's a limit to how far you can zoom in in reality so the structure can't actually exist

@jaymercer4692 6 ай бұрын

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 with converge to as an initial point using Newtons Method and was really excited to see a fractal appear. Was a lot of fun.

@muriloamorim2731 4 ай бұрын

My thought: take a blue line. This line divides the plane into two half-planes. Paint one half-plane green, and the other one red. Now the only boundry of any color is the blue line, which is the boundry of itself and both half-planes

@rodschmidt8952 3 ай бұрын

so the blue is a closed set (it includes its boundary), and the others are open sets

@givrally7634 7 ай бұрын

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.

@joshyoung1440 7 ай бұрын

Took me a few reads to get it, but nice. I think it might help to specify an iron pendulum.

@joshyoung1440 7 ай бұрын

And instead of saying "color it," say "assign a color to each starting position." And I'm not sure if it has "the same property," rather it's like the border between two magnets takes on the color of the third one. But thanks for the new thought experiment haha

@givrally7634 7 ай бұрын

@@joshyoung1440 I'm not sure how to prove it, and other people have probably done that much better than I ever could, but intuitively I think it's the same property. The boundary between two colors where the third one wins doesn't have to be a simple line, because the sum of forces exerted by the two magnets don't have to be zero, just small enough that the force from the third one becomes non-negligible. Likewise, in each of the boundaries that are created, there's a "battle" between the third magnet and one of the original two, leaving the other to win. Ad infinitum, we end up with the same property we see in the video.

@tyleranderson3178 6 ай бұрын

The Mandelbrot set showing up blew my mind

@bert6576 4 ай бұрын

Mine too, wait ..

@yowaikemen 7 ай бұрын

Mandelbrotsets are a thing of sci fi horror. But incredibly inspiring at the same time.

@MadGoose1440 7 ай бұрын

Thank you for providing another exit out of the infinite scroll... What piqued my interest here is seeing that shape there with the three colours. But it wasn't the colours it was the point in the centre. A few years ago I was obsessed with corners of rooms... No idea why.. Even did a photographic project on it. To no real end or conclusion. But a few strange synchronicities occurred and seemed to converge into one in your full video. So, thanks again 😊

@zachnyt 7 ай бұрын

mandlebrot set is unexpectedly cool

@kinexkid 7 ай бұрын

My immediate thought when i saw you add the teardrop shapes was, "That looks like a julia/mandelbrot set!" And lo and behold, the mandelbrot set popped up in the video

@nedji03 6 ай бұрын

I'm terrified of Mandelbrot set for some reason, it gives me existential crisis

@Fadeddeath 7 ай бұрын

Where's the green? I see Red, Blue, and Cyan...

@denji8026 7 ай бұрын

Cyan? I think you might have colour blindness my guy

@Mr_incognito_94 7 ай бұрын

I know right?

@MoistGal 6 ай бұрын

@@denji8026I'm watching this short on my phone, while wearing a Green t-shirt and I can confidently say that it's indeed cyan and not green

@ges.i 6 ай бұрын

bro i thought it's white and got confused when he said green LOL

@wilhelm4706 6 ай бұрын

yeah thats like totally white

@omverma_1791 7 ай бұрын

One must imagine Sisyphus happy

@minecraft_villager_hmmm8635 4 ай бұрын

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

@Happytravellerkimmy 4 ай бұрын

I love fractals so much. Math and art together creating infinite intricate tiny unspooling universes. Yes, please!🎉

@hotdogbrained 6 ай бұрын

Me, scrunching them into a ball

@MeMasterMind 7 ай бұрын

Please make a video on the Planck's constant and how it was discovered, calculated

@abdullahturkanoglu4216 7 ай бұрын

that zooming in part is literally what some of my dreams looks like

@richcast66 7 ай бұрын

We went from boundaries to chaos real quick

@amondhawes-khalifa1949 4 ай бұрын

"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.

@lenah9027 7 ай бұрын

This is cool but there’s no way that’s green

@LimitedWard 7 ай бұрын

Hate to break it to you, but it seems you may be colorblind.

@jonathanbaxter2792 7 ай бұрын

Yeah thats like turquoise

@sjoerdev 7 ай бұрын

its mint

@CATel_ 7 ай бұрын

It is a tint of green. You might be slightly colour blind to greens.

@melody3741 7 ай бұрын

@@LimitedWardturquoise. That is not green. It could be considered “a” green, but nobody in their right mind would ever call it “just green”

@ozzy0001 6 ай бұрын

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

@ascendingdeity 4 ай бұрын

oh wow. i’m going to make this for my sister. thank you for the really cool idea! i didn’t know these existed ❤️

@LightingSniper21 6 ай бұрын

Everyone: wow math is cool meanwhile me: What is he doing with my countries flag???

@prenomnom2812 7 ай бұрын

Czechia 🇨🇿 : _hello let me introduce myself_

@digetaldair 6 ай бұрын

my brain went "oh you get those head achy images, of 3d squares" 30 seconds later "NO! you get the stomach turning 2d ones you learned about eons ago we forgot about"

@idiotically-everything 6 ай бұрын

As soon as you added those extra pieces I thought this was gonna involve fractals and I feel smart now. Thanks ^^

@inventor4279 6 ай бұрын

"the solution to this problem is infinity"

@Jedob 6 ай бұрын

Actually the point is, that there will never be a Line, that is a boundary to more than two shapes. the "spot" in the middle is infinitely small. it has no three boundaries. infinity is a mathematical shortcut used for pretending to solve impossible tasks. the graphical Mandelbrot just pushes the solution further away but never solves it.

@strange_gaming5445 5 ай бұрын

"Chaos is a ladder"

@dorkworksrandomvideos6776 4 ай бұрын

The world's most complicated yet relaxing puzzle to look at:

@henrynagel2658 7 ай бұрын

“green”

@CATel_ 7 ай бұрын

It is a tint of green. While I do agree it isn't the greenest hue, it's still a green. There could be multiple variables at play here, like maybe you're less sensitive to green hues, basically alight colourblindness. Or whatever device you're using might be displaying that colour differently.

@FokoPoko991 7 ай бұрын

it's green, it's just slightly greyish. Mixed in with a little black and lots of white

@augustina3657 7 ай бұрын

That's what I thought!

@The_Legend47 4 ай бұрын

"Mint" is another good color

@user-rj6or9io8sHR 7 ай бұрын

I can't believe that math is that cool!

@felln.dercole7339 4 ай бұрын

This would make an awesome art lesson

@MrJonas1995 5 ай бұрын

*3 years later* _still puzzling the art puzzle_

@Eevneon 7 ай бұрын

Wait am I colorblind? That's not green That's light blus

@mariotheundying 7 ай бұрын

depends on how you'll call the color, could be an almost white color in between green and blue

@brownfamily1892 7 ай бұрын

Check your phone's color settings too, I had color correction set to red-green for months without realizing 😭😭😭 (it should be None or Default)

@Eevneon 6 ай бұрын

@@mariotheundying well the funny thing is I'm a pixel artist myself, and when I look at that color on any color wheel or whatever you call a color selector with hue, saturation and brightness And I do not see that as green in the slightest

@Eevneon 6 ай бұрын

@@brownfamily1892 my color settings are alright

@mariotheundying 6 ай бұрын

@@Eevneon to me looking at it initially it's green, when I think about looking at it like light blue then it is light blue, I'd say it's a light blue going to green a bit

@outcastbg 7 ай бұрын

I love your videos and short! Thank you for making all this interesting and educational content. I hope you will continue to feed our hungry brains with wonderful content FOREVER!! 😂 ❤ Thank you!

@thedankdragon6062 4 ай бұрын

Perfect uniformity is by definition the opposite of chaotic

@Wjshintx 4 ай бұрын

You could say it feels like it's borderline impossible.

@fromweirdobonawithlove1426 5 ай бұрын

I would have just stacked the three pieces of paper on top of each other 😂

@jakobvanklinken 4 ай бұрын

This is the sort of thing where I feel like I just learned something, but if you ask me to tell you what just happened, I'd have no clue 😅

@orumcekosmanofficial 6 ай бұрын

Damn it, mandlebrot, you're everywhere!

@PintuMahakul 7 ай бұрын

👍 An excellent and amazing video. Very nice and colourful work! We highly appreciate your effort and time.

@Those_edits249 4 ай бұрын

When you don’t understand what’s going on but you like the video anyway

@NoogahOogah 4 ай бұрын

Mandelbrot set: “where did this bring you? Back to me.”

@Fissa7991 4 ай бұрын

Every time I see puzzles like that, it makes want to enter a PhD program to dedicate myself to solving it. But I know myself, my life would be consumed by it and I’d either not handle it and quit or be so focused on it and forget everything else in life lol.

@thefakedeal 2 ай бұрын

So like keep iterating that process forever

@_FawksGuy 2 ай бұрын

I finally know what this is called, now!!! Thanks!

@denji8026 7 ай бұрын

Thanks for giving me my daily dose of existential dread

@andrewsanders17 7 ай бұрын

Depending on the strictness of the judging criteria with such an arbitrary requirement. The requirement that each color must touch an equal amount at all connectionseans you cannot have non points so that each section can touch both colors however the issue arrises when you realize that both colors have to touch every point. This could work with 2 colors total but not 3. Even 3 objects with 2 colors but for it to be possible one color has to eclipse the other color. If one color is eclipsing another color then there is no way for the third color to touch any of the points in equal measurements. Even when you go into recurring fractals you will always have area where one color touches more then another. When an impossible task or a task done in the wrong way is performed in a recurring loop it will not reach you the answer it is just the definition of insanity. P.S. I hope you all have a fantastic day.

@horrorhumorandcoffee8798 4 ай бұрын

i go to an art school, and our math teacher does his own art with fractals! it's really cool

@awoogagoogaloo2889 6 ай бұрын

I remember writing some code to creat these fractals and they are super fun to play around with!!

@Volgotha 4 ай бұрын

Only math can turn art into a chore

@spcraftsman2656 6 ай бұрын

Anywhere you go, anywhere you look, there is a fractal jumpscare waiting for you.

@alastor--radiodemon7556 5 ай бұрын

A 2x2 pixels square with one transparency pixel:

@raedradwan350 4 ай бұрын

I can't believe I finally understood what fractals are

@jackiemurray5426 4 ай бұрын

I wish PBS would have the program The Color Of Numbers on again. It's from the later 1990s. Cool program!

@SANTIGO_DA_1 6 ай бұрын

Fractals the geometry version of throwing shit at a wall and seeing what sticks

@jajoclark7311 5 ай бұрын

Fractals are really fascinating. Look up what a fractal is in your free time and watch some videos on it. If your into science, math, art, or you just like knowing cool things, it's worth a little reasurch.

@x_elou_x 4 ай бұрын

The second you started speaking math, my brain shut down.

@arjunvadrevu 6 ай бұрын

I always knew chaos was the answer, now I’ve learnt what the question is

@kazekagekid 7 ай бұрын

simple, make them all colinear. stand the pages up in 3D and bring the edge of each together.

@anonymouscommenter2425 5 ай бұрын

Just get three triangles then only make them touch at the centre

@golddigger1196 4 ай бұрын

i would make the three colors not touch so they have no boundaries and therefore do not need to be on a boundary with the others

@alasdairleach 4 ай бұрын

I love fractals

@Subscribeordie-s9y 4 ай бұрын

Did you know that there are more kangaroos in Australia than Australians

@HyperEditzz103 Ай бұрын

I always think of a pencil then. Think so small until it looks blunt.

@Itz_Atharv789 6 ай бұрын

Just add a gap between those feathers on each line

@akshatsinha2119 6 ай бұрын

Make them touch at just one point. Like smaller triangles which all share just one common vertice

@shadowm2k7 7 ай бұрын

ever since I learned about the Mandelbrot set a few months ago, im seeing it everywhere 😂!!!

@alexagioli 3 ай бұрын

"Here's math" Me: *has existential crisis

@TheArizonawolf 4 ай бұрын

I have no idea what any of that means but I feel like I learned something interesting

@stackedmc2048 3 ай бұрын

No one: No one: Still no one: Mandelbrot set: its me again!

@vibrantebony 4 ай бұрын

I never even understood what the aim of the puzzle was

@Unotch 4 ай бұрын

Easy. Paint the flip side with 120° rotated colours.

@IceForgeOfficial 21 күн бұрын

Beautiful

@92Roar 5 ай бұрын

Oi Oi you gotta put up a trigger warning for that Mandelbrot jump scare! Gonna have university nightmares again haha

@Greenman187 5 ай бұрын

THE BLUE ISNT PERFECTLY IN LINE WITH THE RED AND GREEN 😭😭😭💀💀💀😭😭😭😡😡🤬🤬🤬👿👿👿👿👿👿👹👹👹👹👹👹👹👹🤬🤬

@user-mz5uf8uf9e 4 ай бұрын

Our reality is built on Fractals. Fractals solve paradoxes, but they won’t get you laid.

@OranIsGone 6 ай бұрын

"It may look impossible, but all you have to do is make a fractal."

@nour_n_dot 4 ай бұрын

The completed pattern towards the end looks kinda like fly eyes.

@cowgirl_01 4 ай бұрын

that one gif that loops:

@KrisztianLakatosdavid Ай бұрын

Jevil: i heard chaos chaos Roulxs : Jevil stopeth commenting

@BasestealerS 3 ай бұрын

Easy: Stack the sheets on top of each other so all the edges are touching

@SamPeers1 Ай бұрын

Its like a visual representation of a shepherd tone

@parkerwillmon3664 6 ай бұрын

I just came across this in Steven Strogatz's book The Joy of X. It was cool to see it here!

@BobBob-ml4vp 3 ай бұрын

Bro would be doing that blob thing for the rest of the universe