Math is Art

Crazy math functions and graphs part 2.

[@inf1n1typlus1]

I can’t believe this only has 5,000 views, when I clicked on it I expected it to have millions. This is insanely cool

[@tizurl]

honestly, same, let’s hope the algorithm does it’s job ig

[@dlwah]

fr

[@zakarkgaming9530]

its going up soon

[@jeonghoonchoi5046]

We’re probably the ones to see a video right before it goes insanely viral. We’re the chosen ones thIs time :O

[@Irreleman]

About that-

[@johnzhou4877]

Don't think of maths as problems and exams, think of it as a playground with unlimited freedom.

[@omega72519]

This quote better be official, if it hasn't already been claimed then it will under your name, even if it's only under your username

[@awsomebot1]

Just to be clear, I'm not a professional 'quote maker'. I'm just an atheist teenager who greatly values his intelligence and scientific fact over any silly fiction book written 3,500 years ago. This being said, I am open to any and all criticism. 'In this moment, I am euphoric. Not because of any phony god's blessing. But because, I am enlightened by my intelligence.'"

[@voraxumbra1]

​@awsomebot1 good try. Youre on the right path. Since your young, your goal should be to clean that quote up and put it on the map. Best of luck.

[@ItsMythicl]

I try to lol it was easy in 8th grade but 9th grade it’s kinda ridiculous

[@VinluvAntonHandesbukia]

@@awsomebot1bips bedora

[@user-bn5lc4zb1h]

I'm really impressed at how you harmonize the music and the movements of this movie, and maximize the charms of these functions. I can't explain my feelings well with my poor English, but thank you for your great creation with mathematics.

[@user-vk7zv3he1m]

Poor English you mean great english

[@amsyarsahrim]

I felt the same way like you

[@sand6757]

This showed me that math isnt just only one graph or one formula. Its moving, breathing and the whole picture of the formula puts together a beautiful story. They have to show that in school...

[@NathanScott-zz5sc]

Math is truly art.

[@wwatermelon15]

Sad that the education system only gives the student stress and fear instead of showing the true art of mathematics

[@encounteringjack5699]

@@wwatermelon15 100% Plus, people get this idea of being good or bad at math, but math is like any other subject of study. There’s no “being good” at math. There’s just being able to understand it and work/think through questions to find the answer.

[@alan2271]

No.

[@kashyapkarthik3578]

@RepentandbelieveinJesusChrist5 shut up

[@chamolpornsatittawornsak8996]

╭╮╱╱╭┳━━━┳━━━┳╮ ┃╰╮╭╯┃╭━━┫╭━╮┃┃ ╰╮╰╯╭┫╰━━┫╰━━┫┃ ╱╰╮╭╯┃╭━━┻━━╮┣╯ ╱╱┃┃╱┃╰━━┫╰━╯┣╮ ╱╱╰╯╱╰━━━┻━━━┻╯

[@MMA59634]

These are absolutely insane. I know I don't realize how in-depth these equations are because they don't teach us them in school, but I'm sure this is amazing work and deserves appreciation. Math is very beautiful, but we did not understand its dimensions

[@xoxoheartz]

Yeah they’re really weird because they’re combinations of many different math concepts but I really want to learn how I could make stuff like this and make it be whatever I want it to look. Anyone know any resources specifically on these types of graphs?

[@PC_Simo]

Numberphile has done a video on ”The ”Everything”-formula”, whose graph, supposedly, has every single image fitting to a certain-sized frame, from your family portrait to Mona Lisa 😮. I don’t remember the formula, though; but a little search should produce results pretty quickly.

[@Altair4611]

parameteization is taught in college math

[@mitotakjde9763]

​@@Altair4611i remember that in the 1st year of uni, we had to work with these strange looking graphs and we had to be able to draw these things. The thing i was assigned with was crazy, it had ton of bends and had only 1 axis of symmetry. The parametrisation was ugly af. and derivatives of it were a long tangled mess. Just figuring out how to split it to segments to analyze its properties took me hours. These curves are beautiful, but having to analyse them is painful. And then after hours of finding inflection points, piecing it together to get the graph is even worse. That uni wanted to destroy all of us xD. They probably did that to test our patience. Its amazing and beautiful when an app can draw the graph for you, but when doing it manually, when you get to the point where you can begin to draw the graph, you're already so mad, that you will hate the outcome, no matter how beautiful it is.

[@TrevorD19]

you didnt know this because you didnt go far enough into math. This is the first lesson of parametric equations in calc 2

[@madhuridas7509]

1:15 I like how the 2D shape gives a 3D effect just because of the closer spacing of the lines as we go farther from the origin

[@prysp]

Imagine someone drawing an entire portrait using just functions.

[@thechinesecanadian9013]

Math is art when I’m not dying on a midterm trying to figure out wtf arcsec of arccos of 192pi/6

[@gsas3012]

💀

[@VinluvAntonHandesbukia]

1/sine of it silly

[@ExodiumTM]

Kid named calculator

[@coachman1532]

Skill issue tbh

[@ortalamaataturkcu1092]

1.

[@CrystalKyryn]

2:08 i like how it syncs with the song

[@noblebrown7154]

What even is the song there? IM DESPERATE FOR ITT

[@KarySylver4t]

Song ;(((?

[@BoomaDevi-cn7ht]

He meant music

[@Uchihaitachi_7]

Everyone is just appreciating his maths knowledge but no one is saying a single word about his editing and animation skills... Its totally insane bro.. 🤯

[@trashatf]

He didnt animate that. The graphs are animated by themselves i.e changing the values, u too can do it with the help of some graphing calculator shit like desmos

[@Uchihaitachi_7]

@@trashatf hn but how he made that in that motion ??

[@trashatf]

@@Uchihaitachi_7 screen record and made it to 2x

[@axeldewater9491]

@@trashatf lol no The animations were likely programmed with Python.

[@trashatf]

@@axeldewater9491 ohh ic oopsie

[@momsaccount4033]

It’s like you can see that every pattern has it’s own unique personality. Amazing.

[@tusharsaini8067]

This is one of those legendary videos which will be in everyone's recommendations few years from now 🙂

[@IsntPhoenix]

I'm guessing that too

[@vedantsridhar8378]

I'm then glad to be early here. Good job KZbin for recommending me this early!

[@micosstar]

@@vedantsridhar8378i’m late but glad for youtube

[@icewolf2305]

Guess so.

[@UndriatheDerg]

The amount of things you can create with maths is amazing! You are trying to get maths to be one of my favourite subjects and you are currently succeeding!

[@xoxoheartz]

Life is *MATH* !

[@MedicsChemistryMathematician]

Sure am

[@tonystarks315]

As soon as something loses practical applicability it becomes art

[@billionstalkinfiniteenergy6870]

The beauty of Curves were so fascinating 💓🤩 this shows that functions with graphs are the one of the coolest thing to see and study in Mathematics. Mathematics is Universe in itself 😎. It is now 477k Remind me When, It will be 1M 🎉.

[@cringeneer5490]

As an artist, this is absolutely insane and beautiful. I kinda feel bad for understanding math at a mid level

[@ohayougozaimasu6424]

Don't worry, most of mathematical beuaty and magic is not visualizable anyway. And as a mathematician, I can't immediately grasp at first sight why do most of the graphs from the first half the video look the way they do.

[@motherlandmars5999]

"They cannot comprehend anything of Her (Allah's) knowledge, except as much as She (Allah) wills." (Holy Quran, 2/255)

[@Krakyy]

@@motherlandmars5999 she?

[@cringeneer5490]

@@ohayougozaimasu6424 I wish it was the only thing I didn't understand tho😅 I just have this huge gap of knowledge I missed during quarantine that I should be fixing. I just feel bad for my math teacher, 'cause she puts lots of effort into teaching, but most still fail

[@Yiren666]

I understand math at the lowest lvl hahhahaa

[@namenovic2342]

As someone with the name Matthew, I can confirm that math is truly art

[@darthmaul197]

Real

[@matthewmubiru5495]

Me to

[@Shabudana]

Math-ew

[@Unlimit42]

​@@ShabudanaYour family-ew

[@YRO.]

@@Unlimit42 Who hurt your feelings?

[@ToenVu]

What I like about these is any normal person can just “draw” it but with equation it will always be perfect

[@vedantsridhar8378]

Really hope this video hits millions of likes and hundreds of millions of views. I often see math as underappreciated and those who don't appreciate it are missing out on an entire beautiful world. Many people immediately start thinking of school and become sulky when they even hear a slight bit of math but if we all can push ourselves further, we will all start really loving math. I say that as someone who is studying physics. Thanks so much for this video, hope it sparks interest in math in the mainstream audience

[@tylerbakeman]

When we draw on paper, we draw strokes that would be comparable to piecewise functions - those piecewise functions make up the shapes we see on the paper. Mathematical art, can do that too, but more often I see people plugging in equations to get those same fun shapes. When we draw stars in real life, it isn’t because we have a complex parametric equation memorized- we draw vertex to vertex. Simplicity at it’s finest. I like mathematical art in this form too, because it inspires people, and because we can discover new formal geometric gadgets to develop new maths in the future. I just wanted to write that comparison.

[@Moe_Posting_Chad]

This seems like something midwits put on their Pintrest so they can feel like they created something.

[@TanikXD]

Math art is polynomograpghy

[@Pappycap74]

If I told an algorithm to draw something, it's not art. If I draw something even badly, it is. The difference is one has soul.

[@PC_Simo]

@@Pappycap74 If only you had a time machine, to go tell that to the headmaster of a certain Austrian Art Academy 😅.

[@Pappycap74]

@@icidemart5046 couldn't disagree more

[@Mono_Autophobic]

Trigonometry + Exponents + Modulus + Number Theory = Art

[@nasrimarc7050]

It's really insane how the functions and equations behavior draw a incredible and precise shapes

[@marcoparco_9564]

The second to last one looked like the field lines of an electric field. So cool to see math in reality

[@Lpscutiepawslover]

That’s what I was thinking too! So cool!

[@kobray3455]

so true

[@neuraaquaria]

Any time you get a sine or cosine function, the graph traces something periodic, and overlaying different periodic frequencies gets you these super cool patterns! Good job! Subscribed!

[@olaczyk]

I love art and love math. This was amazing

[@shishirvasistam5563]

math and these editing skills are insane what a priceless video thanks for this

[@NoName-rd6et]

For some feedback i'd suggest that the equation for each graph be always shown instead of appearing and dissapearing suddenly for only a few seconds or at least show them for a bit longer

[@iliagozalishvili2803]

just press the space button and the video will magically freeze

[@NoName-rd6et]

@@iliagozalishvili2803 gets kinda annoying when you have to do it every 4-5 seconds

[@pvanukoff]

Agreed. These graphs are cool but the pacing is off.

[@RE-xv5sr]

這樣節奏會太長

[@jenkathefridge3933]

​@@NoName-rd6etslow the video down to 0.5

[@fattestpig]

2:09 those lines were perfectly in sync to the music

[@arafrizvee4667]

This gave me a new perspective for math 😊

[@augusonictheracoon5279]

I loved the way it was been drawing. ❤

[@andrewsemenenko8826]

3 blue 1 brown would be proud🔥 This is fire, well done! Especially the animated ones🌟

[@Moircuus]

Beautiful, the capacity of representation of those simple things shows just how boundless those simple things can be, I feel this applies to life as well, with all the moments that make it up.

[@user-sh2bn7yl8y]

stfu@RepentandbelieveinJesusChrist5

[@vedantsridhar8378]

Gotta love how most of these beautiful graphs come from sin, cos and tan

[@ShadowDustedStardust]

every new equation fills me with such a giddy feeling. sitting on the edge of the bed going 'woah' and smiling because dear lord this is amazinggg

[@erickoavenada969]

Imagine giving a math equation to your art teacher

[@Tamity]

Honestly expected for a lot more views for such a cool idea and a high quality video. Good work! This was really awesome to see.

[@ExpressoMechanicTV]

These are frigging incredible!

[@DavidHongMD]

It is some sort of an art. Popular in some country. Beautiful and amazing!

[@pickyyeeter]

This is gorgeous - probably the most beautiful implementation of Manim I've ever seen Subscribed

[@Silfalion]

I remember asking my teacher years ago what equations are nice for making shapes. We didn't have anything but circles at the time in the textbook. So it would be cool if it was more part of math teaching because it makes it a lot more practical

[@_GhostMiner]

Also try "y = x × sin(y) × sin(x)" makes really cool triangular group of squares and circles that meet in the center

[@user-qy9in5ej2o]

Wow It changed my perspective of maths Mind-blowing 🤯

[@ianweckhorst3200]

Penultimate graph is something I’ve been looking for for a long long time, as that graph is normally graphed on a complex plane and it’s very useful for modeling two magnetic fields interacting, thank you random video, you get a like

[@braedenlarson9122]

How do you graph it in the complex plane? As a student of physics myself the mathematical equations for potential lines interests me also. Care to share where you got this information from?

[@mjthebest7294]

This looks also like the electric field between two opposite charges. It is relatively easy to find a closed form for a single line of those, but finding a closed form for many of them, "equally spaced" like the one in the video seems a nice challenge!

[@ianweckhorst3200]

Actually it’s quite easy in the complex plane, just use geogebra and do the equation tan(xi), many other trigonometric functions give a similar result, and I actually originally recognized it when I first made it I knew it looked like an electric field

[@sarahthestrategist4560]

For those who don't know , here he use parameter curve and it'is different from a function, because in the definition of a function, a function has only on image for each inverse image unlike the parameters curve where inverse image can have multiple images.

[@Etienneeee]

Thanks, I was wondering how it was possible

[@mtizim12]

Formally, they're all isomorphic to regular functions ( ℝ² →{0,1} ). The vertical line test thingy is useless past high school, pretty much all of mathematics is functions (until you learn what a morphism is)

[@Aditya-dw4kz]

Was searching for an explanation, thanks. So the equations of circle, ellipse etc. Aren't functions?

[@theemperor-wh40k18]

Nope.

[@sarahthestrategist4560]

Before accusing me of saying false information check you all of you definitions and information.

[@GalenWitch]

this would go very well with the video for the song "erratic patterns" carbon based lifeforms

[@jessisez3671]

That’s f amazing. Made me tears come out.

[@Thomas-vn6cr]

One equation I'd like to mention is y=xsin(lnx), which essentially looks self similar at all magnitudes. Add a couple constants for spice. Found this one myself.

[@itsrubesusnotalbesus]

People actually made actual art using graphs

[@Nicomv-eu3pd]

how do people even find this stuff

[@extreme4180]

@@Nicomv-eu3pd well its not that hard using comp algorithms ( using pen n paper its tedious to figure out such equations)

[@Thomas-vn6cr]

@@Nicomv-eu3pd if you really want to know, I was playing around with Desmos graph plotter and wondered if an equation could always have an appearance that isn't a straight line at all magnitudes. If you stretch sin x by multiplying it with x, it's a wave that oscillates between x and -x. The frequency increases as you zoom out, since you're increasing in magnitude with the constant frequency. So a lnx within the sin slows/speeds it at the rate you zoom in/out. Hence, xsin( ln(x)). And before you ask, no I don't have any friends.

[@esisimp123456]

​@@Thomas-vn6crThe function is really beautiful. Thank you

[@raphdm3776]

My man can make a butterfly out of a math function HOLY SHIT

[@EchterTofu]

I can't believe this only has 500,000 views, when I clicked on it I expected it to have millions. This is insanely cool

[@supitsalisya]

This is incredible. Got me loving maths more

[@TranscendentalMindX]

No. Math is not art. Art uses Math.

[@MrTomas7777]

Ever tried writing fragment shaders? It's literally just a function that maps each pixel on the screen to a color. You can make all sorts of funky stuff with it.

[@MarioDSLife]

Very interesting and insightful! I’ve always tried to do this on my graphing tool to see what sort of cool shapes I can get. Just a suggestion for the next video, show the equations for two seconds longer so we don’t have to pause it to read, but great video!

[@dieawill187]

And its not the only beauty of math, math is full of it.

[@yacineaitchalal691]

man math is just the heaven of unlimited freedom and bro people take math to the extreme sometimes

[@user-mv2nn6rw2w]

Need one addtional disclaimer: t=θ I can accept r, x and y not being described because it's usually understood that the x and y are of cartesian coordinates and r for distance to origin, but most people use θ or Φ for angle.

[@digitalgenius111]

I used t because: θ - theta

[@user-yn1oi6iv1f]

Sooner or later, KZbin algorithms will give this video the millions of views it truly deserves.

[@ok-gr1vx]

so true

[@vedantsridhar8378]

Aged like wine

[@hii22394]

As a young artist who has so much intrest in maths.....this is the most satisfying thing ever ❤

[@ToastIsANiceFood]

This is one of the best montages i have ever seen like WOW

[@luc-id4cd]

2:08 i love how the curve matched the beat

[@Doodle128]

Technically it’s the other way around, art is math, since everything can be described using some form of a mathematical statement

[@itsjad3n581]

Technically it’s the same both ways

[@saayanbiswas209]

Reminds me of good ol days of using Desmos back in Senior High and University days

[@ahmedalhomaide4416]

This is better than 99.99% of "ASMR Sleep Conjuring".

[@Barikistan222]

this is why i like math and want to learn it

[@reasondro]

This piece deserves more views, absolutely well done man!

[@whiterottenrabbit]

The formulae only flash on screen for literally less than a second and there is no moment that lets the visuals breathe for a moment, but you think this is well done? Wow... Are you always amazed by mediocre half-assed effort?

[@Kitune_Omen]

関数アート楽しそう…いつかやってみたい

[@Chameleonred5]

I remember doing some of these on a TI-84 in high school.

[@flameguy3416]

Mandlebrot Set is still one of the most intricate pieces of mathematical art I've ever seen, makes you wonder who drew it.

[@mr.p2665]

It was generated on a computer Imagery

[@planteruines5619]

​@@mr.p2665that's the how he drew it , we want the who , who did it first , who created this set ?

[@miniren8439]

This guy pursues us to learn maths more than any other teachers

[@tomatoorphan6166]

Never knew math can make cool attack animations.. damn, this is the only thing that is going to make me like math

[@clovest3rz]

Math is beautiful, the process of doing it is enjoyable too. That is why I love it.

[@saulkay8674]

This deserves to have more views

[@donkekung4150]

1:48 light when the booklet's plastic cover is dented Seriously tho this is amazing

[@worldhello7607]

Computer that makes this possible is just beautiful and thankful.

[@vedantsridhar8378]

No, I calculated every single Y-value for every X-Value of all of these fuctions and constructed all of the graphs by myself 😢 Nobody is crediting me 😂

[@AsherTCO]

Wow... This is actually so beautiful

[@awesomespurr3606]

Most of these aren't functions, but they sure do look like fun

[@wafflesaucey]

Idk, they look pretty func-y

[@vanboy_vanboy]

@@wafflesauceyehehehehehehheh

[@bitonic589]

​@@wafflesaucey👍

[@Pesosowy]

​@@wafflesauceybro is him

[@bas_ee]

function sum(a, b) { return a + b; }

[@Sufir_Havat]

Я получил настоящее эстетическое удовольствие не только от визуального ряда, но и от прекрасно подобранного музыкального ритма. 👍

[@l.m.5116]

Seriously show this stuff in schools, if they'd shown me this stuff back than I'd definitely pay attention

[@supitsalisya]

This defo deserves way more views frfr

[@ArifDolanGame]

great quality of content!

[@mundocpc]

Awesome video. I spent many months in high school representing functions, and years doing calculus in general. I wish somebody had explained me, back in the day, the concepts behind them or why they are so important. Years lost solving meaningless problems that could had been employed in building a much more solid mathematical base.

[@em-erson_1406]

Who knew math could be so beautiful? This is INSANE.

[@johnthegreat9342]

You have rekindled my math interest

[@user-xh1hr4zf8m]

Whether you like it or not, math is the only one that truly blows your mind.

[@logcow]

2:30 I Love this.

[@matijalenic2923]

Fm

[@jenish_exe]

Goosebumps Amazing ❤❤❤

[@izaanhafid]

the editing and animation on this piece is incredible, topped with the sync of the music, you deserve more subs

[@thk2005]

I like the 3:45 graph Like one day, when human become super intelligent that will find out: Why magnetic flux of a magnet bar got that shape? Or why the opposite signed electric particles reacting to each other, made that graph? When human fully understand the graph, finding out more graph of more things in life, human may able to recreate the unknown natural

[@-C3S1UM-]

It's an pattern, formed by an equation, made by humans, we already know why the equation produces that specific pattern.

[@yourbigfan1777]

0:37 who would've thought that a simple star is described by such complex formulas...

[@Geliyor_Gelmekte_Olan]

Yeah

[@theonlyreal615]

it's not that complex lmao

[@LobzikGaming]

dis proves math isnt boring like i thought

[@tiennguyenvan9346]

This is the beauty of mathematics

[@angler3897]

I can never help but wonder how people got to those equations... was it planned, or was it a coincidence that they were found... and what hasn't been found?

[@TactlessGuy]

Once you do it a few times, you can get the gist of it and just input a random equation and it'll always produce some kind of pattern.

[@TimJSwan]

I love videos like this and I even made one myself about langton's ant. Subscribed. Edit: How did you get fractions for lcm and gcd at 3:07? Also, these plots without t must use some local grid based algorithm to find where to find enough points to make smooth looking curves (obviously, it's easy to know which ones are neighbors when you have t)

[@SmartMUQIN]

There is no doubt in fabulous art of maths and geometry

[@Samuel-vt8bo]

Seems like some good reference for bullet routes for a bullet hell game

[@_GhostMiner]

What tool/software did you use to get such high detail?

[@frtzkng]

manim

[@Lodog1976]

This is like 10 million subscriber editing

[@socksinsandals1]

it's all so... precise.

[@haxy2689]

I wish they taught us like this.