Math is Art

[@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

[@zakarkgaming]

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

[@Sior-person]

About that-

[@CanaanZhou2002]

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.

[@MythicubeYT]

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

[@VinluvAntonHandesbukia]

@@awsomebot1bips bedora

[@prysp]

Imagine someone drawing an entire portrait using just functions.

[@joshstudiospresent]

That’s not how it works math creates patterns not specific features

[@tnapeepeelu]

​@@joshstudiospresentFunctions. Multiple ones. People have made images using graphing calculators like Desmos already too.

[@animationcity8178]

@@tnapeepeeluYeah you can probably use piecewise also for more specific details

[@Nielz24v]

​@@animationcity8178 someone is actually doing artpieces using mathematical functions, i dont remenber their name but it was really impresing

[@minety_pie]

​@@joshstudiospresent Restricted Domain and Range 🙂 we can create an art but it's just too hard

[@レナ-i1r]

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.

[@anonymous49276]

Poor English you mean great english

[@amsyarsahrim]

I felt the same way like you

[@Kauan-Kaiser]

O coração entendido buscará o conhecimento, mas a boca dos tolos se apascentará de estultícia. Todos os dias do oprimido são maus, mas o coração alegre é um banquete contínuo. Melhor é o pouco com o temor do Senhor, do que um grande tesouro onde há inquietação. Melhor é a comida de hortaliça, onde há amor, do que o boi cevado, e com ele o ódio. O homem iracundo suscita contendas, mas o longânimo apaziguará a luta. O caminho do preguiçoso é cercado de espinhos, mas a vereda dos retos é bem aplanada. O filho sábio alegra seu pai, mas o homem insensato despreza a sua mãe. A estultícia é alegria para o que carece de entendimento, mas o homem entendido anda retamente.

[@mathamour]

Draw a Star, Autohotkey Code Sleep, 5000 rd := 0.017453 ; 1 Degrees to Radians cx := 555 ; Center x cy := 555 ; Center y i:=0 aaa:=70 ; Size bbb:=aaa*2.5 ccc:=aaa*1.5 t1 := i * rd x1:=cx+aaa*cos(t1) + bbb*(cos(aaa*t1/ccc)) y1:=cy+aaa*sin(t1) - bbb*(sin(aaa*t1/ccc)) Loop, 1080 { ; 1080/360 = 3 i++ t2:=i * rd x2 := cx+aaa*cos(t2) + bbb*(cos(aaa*t2/ccc)) y2 := cy+aaa*sin(t2) - bbb*(sin(aaa*t2/ccc)) MouseClickDrag, L, Round(x1), Round(y1), Round(x2), Round(y2), 0 x1:=x2 y1:=y2 }

[@tamerlanbekmuhamedov9053]

When artists are out of inspiration they don't randomly swing brush to paper, they write random equatoins and enter them to desmos.

[@Kauan-Kaiser]

Senhor será bem-aventurado. O sábio de coração será chamado prudente, e a doçura dos lábios aumentará o ensino. O entendimento para aqueles que o possuem, é uma fonte de vida, mas a instrução dos tolos é a sua estultícia. O coração do sábio instrui a sua boca, e aumenta o ensino dos seus lábios. As palavras suaves são favos de mel, doces para a alma, e saúde para os ossos. Há um caminho que parece direito ao homem, mas o seu fim são os caminhos da morte. O trabalhador trabalha para si mesmo, porque a sua boca o incita. O homem ímpio cava o mal, e nos seus lábios há como que uma fogueira. O homem perverso instiga a contenda, e o intrigante separa os maiores amigos. O homem violento coage o seu próximo, e o faz deslizar por caminhos nada bons.

[@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

[@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.

[@kashyapkarthik]

@RepentandbelieveinJesusChrist5 shut up

[@chamolpornsatittawornsak8996]

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

[@AnaraetheDerg]

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* !

[@Study-受験]

Sure am

[@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

[@Kauan-Kaiser]

Quando não há conselhos os planos se dispersam, mas havendo muitos conselheiros eles se firmam. O homem se alegra em responder bem, e quão boa é a palavra dita a seu tempo! Para o entendido, o caminho da vida leva para cima, para que se desvie do inferno em baixo. O Senhor desarraiga a casa dos soberbos, mas estabelece o termo da viúva. Abomináveis são para o Senhor os pensamentos do mau, mas as palavras dos puros são aprazíveis. O que agir com avareza perturba a sua casa, mas o que odeia presentes viverá. O coração do justo medita no que há de responder, mas a boca dos ímpios jorra coisas más. O Senhor está longe dos ímpios, mas a oração dos justos escutará. A luz dos olhos alegra o coração, a boa notícia fortalece os ossos.

[@elplaceholder]

​@@Kauan-Kaiser"giasfelbrehber" ice-e

[@momsaccount4033]

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

[@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...

[@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

[@AverageKemalist1919]

1.

[@cringeneer0]

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?

[@cringeneer0]

@@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

[@xyi898]

I understand math at the lowest lvl hahhahaa

[@ToenVu]

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

[@danigetahunyapuow5041]

What you learned in class:5x5=72 The test:

[@vedantsridhar8378]

Lol, that's kinda relatable, not in math class for me, but many times I recall having learned wrong info in class.

[@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!

[@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.

[@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

[@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

[@jesterthelegend926]

The math exam be like, "sketch the graph"

[@namenovic2342]

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

[@darthmaul197]

Real

[@matthewmubiru5495]

Me to

[@Shabudana]

Math-ew

[@Unlimit-729]

​@@ShabudanaYour family-ew

[@YRO.]

@@Unlimit-729 Who hurt your feelings?

[@ahmedalhomaide4416]

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

[@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

[@cringepig8036]

When an artist and a mathematician fall in love

[@Kauan-Kaiser]

O que fecha os olhos para imaginar coisas ruins, ao cerrar os lábios pratica o mal. Coroa de honra são as cãs, quando elas estão no caminho da justiça. Melhor é o que tarda em irar-se do que o poderoso, e o que controla o seu ânimo do que aquele que toma uma cidade. A sorte se lança no regaço, mas do Senhor procede toda a determinação. Provérbios 17 É melhor um bocado seco, e com ele a tranqüilidade, do que a casa cheia de iguarias e com desavença. O servo prudente dominará sobre o filho que faz envergonhar; e repartirá a herança entre os irmãos. O crisol é para a prata, e o forno para o ouro; mas o Senhor é quem prova os corações.

[@MrBenjiii]

​@@Kauan-Kaisermete o pé, crente, aqui é a matemática que governa 🔥

[@JesusPlsSaveMe]

​@@Kauan-Kaiser *Revelation 3:20* Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me. HEY THERE 🤗 JESUS IS CALLING YOU TODAY. Turn away from your sins, confess, forsake them and live the victorious life. God bless. *Revelation 22:12-14* And, behold, I come quickly; and my reward is with me, to give every man according as his work shall be. I am Alpha and Omega, the beginning and the end, the first and the last. Blessed are they that do his commandments, that they may have right to the tree of life, and may enter in through the gates into the city.

[@jonathan-j9l8x]

@@JesusPlsSaveMe amen

[@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.

[@pickyyeeter]

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

[@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

[@_GhostMiner]

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

[@Mono_Autophobic]

Trigonometry + Exponents + Modulus + Number Theory = Art

[@Nzargnalphabet]

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!

[@Nzargnalphabet]

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

[@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

[@yacineaitchalal691]

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

[@Stellar32042]

0:27 it depends, because the R and T needs a value

[@zee323]

I think they do! In this case, it looks like they’re using polar coordinates instead of Cartesian, the ones normally taught in school. R is for “radius”, the distance the point is from (0,0), and t is for “theta”, the angle the point makes with the x-axis

[@Stellar32042]

I tried it in desmos, lemme try again •~•

[@ShadNex]

⁠@@Stellar32042once you get older you will learn about a cool thing called pilar coordinate

[@Suunalt]

r means radius, t means angle. this means that the radius is the angle squared, making this a 2 variable polar function

[@Suunalt]

​@Stellar32042 if you're trying in desmos use theta instead of t

[@andrewsemenenko8826]

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

[@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

[@erickoavenada969]

Imagine giving a math equation to your art teacher

[@Barveth]

props for this channel for creating Earthbound backgrounds. what absolute legends

[@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.

[@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

[@shooterdabomb]

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

[@shooterdabomb]

@@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]

​@@shooterdabombslow the video down to 0.5

[@HalalChicken]

Test question: sketch this equation The equation:

[@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 😂

[@朕是神]

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

[@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.

[@Rubenotsus]

People actually made actual art using graphs

[@NicolasIMV]

how do people even find this stuff

[@extreme4180]

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

[@Thomas-vn6cr]

@@NicolasIMV 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

[@tornadofay]

3:36 no equation

[@l.m.5116]

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

[@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 ?

[@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 🎉.

[@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

[@مصعبعنكبوت]

"Functions describe the world"

[@dieawill187]

And its not the only beauty of math, math is full of 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!

[@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.

[@Barikistan222]

this is why i like math and want to learn it

[@idkwhoami19]

dis proves math isnt boring like i thought

[@DankePrime]

Math is so fucking cool. School presents it as such a boring concept that people never see how incredible it can be.

[@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

[@saulkay8674]

This deserves to have more views

[@esther1994]

Math is art not because of the aesthetic of geometry and algebra but because the genius involved in representing the world in a mathematical way is artistic. Without artistic imagination of the minds that contributed to mathematics, it wouldn't have been possible.

[@kousekl]

2:08 the sync here is amazing!

[@donkekung4150]

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

[@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.

[@lucaupatree6139]

Is it a coincidence that the music and the collisions matched exactly at 2:08?

[@CrisNich-hj3gd]

no.

[@marthaloreto1142]

Im pretty sure its intentional

[@brian70513]

That’s why mathematics is fun

[@lucaswiedmann3296]

Teachers should show this to students in school to inspire them!

[@vedantsridhar8378]

Yeah, hopefully they won't be half asleep when the video is on

[@yourbigfan1777]

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

[@Geliyor_Gelmekte_Olan]

Yeah

[@theonlyreal75]

it's not that complex lmao

[@astroturfisadude]

5 little happy stars

[@Sufir_Havat]

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

[@lolyousuck-z6v]

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

[@Mr_bean_is_santa_claus]

Suffering = math = patterns = art = great conclusion? SUFFERING IS GREAT!!!

[@youtubeDwellEyday]

Imagine Pascal, Gauss, and more lot of mathematician watching this video

[@awesomespurr3606]

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

[@wafflesaucey]

Idk, they look pretty func-y

[@Ampersandium]

@@wafflesauceyehehehehehehheh

[@bitonic589]

​@@wafflesaucey👍

[@Pesosowy]

​@@wafflesauceybro is him

[@bas_ee]

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

[@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.

[@squareblade]

When you wanted to be artist but your ASIAN parents forced you to be a mathematician

[@janelle9998]

3:46 looks like a magnetic field with north and south poles. Cool!

[@major2707]

Yeah

[@Itsukikiwa]

This reminded me of an entrance exam in Shizuoka, Japan (not sure if it was university or high school). The exam made the students use function to complete a drawing that formed Mt. Fuji, since it's located in Shizuoka.

[@_GhostMiner]

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

[@frtzkng]

manim

[@kiranaagni1812]

Father : a math teacher Mother : a art teacher Son:...

[@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.

[@korigamik]

This is great! Can you share tbe source code for the animations in this video?

[@azerarrete242]

I can say that mathematics is not only science ,it s also ART ............

[@WhiteFox508]

When you wanted to become a mathematician but your parents made you become an artist: (Just kidding, but this is sick af - time to remember those equations and go flex at school)

[@tonystarks315]

As soon as something loses practical applicability it becomes art

[@ArifDolanGame]

great quality of content!

[@logcow]

2:30 I Love this.

[@matijalenic2923]

Fm

[@specsoneye]

If one person decides to put one of these functions into his painted painting, people would buy it for thousands or millions of dollars.

[@chasemarangu]

Computer graphics makes visualizing so much of math possible in a way the ancients would have only dreamed of

[@RomanWaves]

Absolutely amazing ! Can anyone help me explain how this is done ? I read somewhere that these are not functions in the classical sense - because functions cannot have multiple values for one value x for example - isn’t it ? So these work differently. I really would love to understand it better. There must be a cool way to also translate these to audio in some way … or make some kind of interactive game out of it.

[@PRIMARYATIAS]

Consider the graphs that are drawn as sets of points (x,y) in the plane that satisfy the relation between the x and y shown in the equation.

[@idoGutman22]

Math truly is art. All of these are 2d slices of 3d objects (the 3rd dimension is imaginary numbers). Would be so cool to see the 3d ones!

[@saveerjain6833]

meh might as well just graph 3d functions and not need imaginary numbers

[@EliasRiveraReal]

Shouldn't it be 4d or do mathematicians only let one of x or y be complex and the other real

[@saveerjain6833]

@@EliasRiveraReal realistically, complex dimension is just an additional dimension to whatever you were currently working in. So, if working in 3d, then yes complex plan would add a 4th dimension (multiple 3d level sets)

[@idoGutman22]

@@saveerjain6833 thanks for in insight man.

[@GamingForeverEpic]

0:42 I see why I was recommended this now. 10 karma symbol. If you know you know.

[@alihesham8167]

If I don’t know I don’t know (I dont know)

[@Blaczolt]

Rain world?

[@WeirdMarioB]

I think of math as a storyline with a huge lore we need to understand. Every grade we are taught more about that lore until we can finally understand what us going on.

[@hii22394]

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

[@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)

[@xKingDragon]

What software do you use to make the graphs?

[@digitalgenius111]

Python, Manim library

[@homareyoshi4194]

wait not desmos..?

[@Quantodeluz]

​@@homareyoshi4194 Nope, Manim is made to make math animations with code, so it's logical that DigitalGenius uses it there are other alternatives, such as Motion canvas, or Unity (yes, the one for making games) If you want to see how they look, here are some great videos made with each one: Manim: kzbin.info/www/bejne/i5CbZoeXjceYf9E Motion canvas: kzbin.info/www/bejne/jYW4kpl3rNeopKcsi=-Y7tKrnGOQbiqG07 Unity: kzbin.info/www/bejne/h6uTfId9jq-ni80si=6G0gS4Xp31tfjIJo

[@ultraeon]

@@homareyoshi4194desmos wouldn't render any of these properly

[@MayorVideo]

@@homareyoshi4194 desmos can't really do the animation part

[@Lodog1976]

This is like 10 million subscriber editing

[@LiangSang-du8rb]

As a math fan, I think mathematics is a very important in our life, if I can't have any methods to solve the problem, I will use the function, I love functions and the calculus

[@dariuszjozef7654]

2:12 What my brain does while trying to sleep:

[@seven_A_twenty-two]

Is it just me or does 0:51 remind anybody else of gunter