Amazing Math Animations

Рет қаралды 594,297

Жыл бұрын

Amazing graphs dictated by mathematical rules, now in the animated format.
This video is a part of the series.
Playlist: • 🖋️ Maths
Graphing calculator - desmos.com/calculator
enderman.ch

Пікірлер: 1 200

@ClaramayNivetta Жыл бұрын

I really appreciate how the transitions are timed with the music

@jeremywoolley Жыл бұрын

YES! I am a massive fan of music sync! (I do cringe occasionally on your main channel when the big drop hits but nothing exciting happens)

@aa-tx9su Жыл бұрын

I really don’t appreciate you furry.

@tentyp2 Жыл бұрын

comically synced

@fentonflatt297 Жыл бұрын

Geometry dast

@mozvi1436 Жыл бұрын

As a GD I thought I was dreaming when I heard at the speed of light lol I'm happy people enjoy this music

@raveaw379 Жыл бұрын

These graphs are Cataclysmic!

@GumbaverianX Жыл бұрын

Nice geometry dash reference lol

@Lollyface100 Жыл бұрын

what will the aftermath be?

@Lollyface100 Жыл бұрын

@@Andrewman and everyone will have a lust for this blood, after the catabath.

@Ja_Crispy Жыл бұрын

these jokes are flying over my head _at the speed of light_

@Lollyface100 Жыл бұрын

@@Ja_Crispy they're being blocked by 47 dim rain drops

@Zenzicubic Жыл бұрын

That one at 3:18 is called a rose curve. They're pretty cool. If you want another thing like that, the Lissajous curve might be a good fit.

@fandroid6491 Жыл бұрын

It exactly looks like what I draw with a spirograph!

@heotapgym-piggym2460 Жыл бұрын

bloodlust

@rosiefay7283 Жыл бұрын

@@fandroid6491 Spirograph curves are hypocycloids.

@stcoops Жыл бұрын

i believe they r similar to the logic behind fourier transforms

@georgespalding5969 Жыл бұрын

Fun fact! The exact same graph can be found in the desmos examples under Polar:rose (i dont want this to sound sassy fyi)

@bettercalldelta Жыл бұрын

2:26 this actually kinda looks 3d, like running near a sine wave

@assiddiq7360 Жыл бұрын

Omg, it does!

@28rizzons Жыл бұрын

It actually does lol.

@baibhavpalit1085 Жыл бұрын

Yes...true...!!

@notneo7898 Жыл бұрын

It's Opera Browser

@bettercalldelta Жыл бұрын

@@notneo7898 Opera Browser is before that

@elements203 Жыл бұрын

0:18 Laser/Scanner 0:24 Rocking Chair 0:30 Flickering Light 0:45 Neutron Star 0:57 Anti-Expanding Radio Wave 1:15 Ocean Waves 1:26 Bubble Sheet 1:44 Unstable Water Ball 2:05 Corrupted Noise 2:20 Ơ̶̮͔͓̙̫̦͕̱̔̏͘͜͜P̶̱̰͝E̴͍͍̦̬̲̫͉͇͙̮͑͗̄̔̓͆̄͠Ŗ̷͖̫̱̹̱̬̤̫̫̀̐̕͠Ą̴̖̝̩̜̮͍̲̟͓͐͑ ̴̢̢̰̫̺̙̝̳̀͠W̴̨͔̻̮̝̱͕̦̖̝̆̂̇̑̈̚E̶̡͔͔̥̾͂̀̅̇͘͝͝B̸̩̘̞͚̻͋͋̀͘͠ ̸̢̣͙͈͙̠͓̐͂̔̏͗͠B̶̟̄R̵̹̼̳̭̜͎̻͈͆̌̌͌̏̍͗̕̚͘Ǒ̸̻W̶̢̢̠̼͝S̸͙̈́̐͐̒́̄Ȩ̶̢̤͕̫̬̮̤̃̏͑͜R̴̳̻̰̬̀͜͜ 2:28 Tadpole's Tail 2:44 Nobody: What I see Before I Fall Asleep: 2:56 Raindrops in a pond 3:07 Every Sci-Fi "In Space" Movie Ever: 3:19 The Pinwheel of Life 3:45 Petri Dishes Be Like: 3:57 Wavering Ball of Plasma

@initiald975 Жыл бұрын

How did you put the equations sideways overlaying the text, “opera web brower?”

@elements203 Жыл бұрын

@@initiald975 Website

@rahulsinghalwal1 Жыл бұрын

Lol, why you wrote opera like that 😂

@chiemieru7897 11 ай бұрын

2:20 he doesnt need a cap for that 😂

@Andrecio64 11 ай бұрын

2:56: cynosural field generator

@tentyp2 Жыл бұрын

well i certainly didnt expect at the speed of light to be the song edit: cant wait for an argument to start whether the song is from bloodbath, cataclysm, bloodlust or something different lmao

@UN4YA_Content Жыл бұрын

@AkivaB Жыл бұрын

*Bloodbath intensifies*

@dogmania2892 Жыл бұрын

BLOODBATH WAT

@tentyp2 Жыл бұрын

@@UN4YA_Content hi

@kodirovsshik Жыл бұрын

No WaY

@AkoCode Жыл бұрын

2:21 wait.. its you?? opera??

@DHT1701 Жыл бұрын

I was hoping someone would point this out. 🙏

@Normal762 2 ай бұрын

@lukaskode5459 2 ай бұрын

funny enough I'm watching it on opera

@user-uz4bf6vo9k Ай бұрын

opera=best browser cus adblocker

@cryfiented Ай бұрын

*oracle

@zdoh2548 Жыл бұрын

As a GD player that knows nothing about this, I can clearly relate that this is an extreme demon Edit: was not expecting this to get 1k likes but ok

@bruh.j4mes Жыл бұрын

0/10 generic hell themed extreme

@maces1 Жыл бұрын

The 1rt btw

@stonkman7878 Жыл бұрын

too bad its extended list

@igneousorgan6435 Жыл бұрын

What are you talking… _video starts_ Ohhhhh….

@another_eu_player8035 Жыл бұрын

Nah medium demon at best

@therattestofrat Жыл бұрын

This is actually the coolest thing; I haven't seen a program like desmos do this before!

@spyshead6217 Жыл бұрын

Desmos can get pretty nuts if you know how to use it to its fullest potential

@jouzibar5112 Жыл бұрын

Muscle memory made me hit those triple spikes at 1:50

@agentfelixscpit 3 ай бұрын

I smashed my keyboard hard a few times when I heard the start (the 7-13 wave is hard as hell)

@codoudou Жыл бұрын

The song perfectly fits with the video

@AkivaB Жыл бұрын

At the speed of light also known in gd as bloodbath

@AkivaB Жыл бұрын

@@Victor_StudentOfFloppa who tf asked you?

@AkivaB Жыл бұрын

@@Victor_StudentOfFloppa I'm tryna help a person find a song the like

@kenos911 Жыл бұрын

Ironically the aftermath part has the best ones

@Orzeczenie. 7 ай бұрын

@@Victor_StudentOfFloppa me

@staticchimera6371 Жыл бұрын

One of my personal favourites is (x - a)^2 + (y - sin(x))^2 = 2. A little blob that follows an invisible sine graph. Another fun thing about this one, the larger you make the number on the right (the radius of the "circle", the more it will converge to an actual circle).

@dundsdar Жыл бұрын

Adding another one makes it look like blobs chasing each other

@tesseract7586 Жыл бұрын

i found the sine graph its rolling on. its about sine(-1.41421)

@staticchimera6371 Жыл бұрын

@@tesseract7586 I don't quite understand what you mean. sin(-1.41421) is a value, not a graph. Could you elaborate?

@Stuffinround Жыл бұрын

@@staticchimera6371 he might mean sqrt(2) times a sin function? I’ve put sqrt(2)sinx into Desmos and it’s pretty accurate.

@staticchimera6371 Жыл бұрын

@@Stuffinround Oh, if they mean the sine graph that the blob is following, then the sine graph should just be sin(x). sqrt(2)sin(x) is slightly off at the peaks and troughs.

@eims9733 Жыл бұрын

2:14 opera browser

@Normal762 5 ай бұрын

@Tornike-cd8xr 3 ай бұрын

*O*

@Snoopie_versus Жыл бұрын

3:06 Galaxy ? *the whole big bang appearing*

@MoonStudioAnimation Жыл бұрын

OMG THAT IS SOOO COOL.

@Tetracontakaitetragon 8 ай бұрын

it nearly destroyed my pc 8/10

@GameristicForce 5 ай бұрын

“Oh, you dare challenge Desmos?” anime lines come into view and no I dont watch any 😅

@toxic8730 8 ай бұрын

(X + A)^2 + (Y - B)^2 = (r^2)/(x^2) makes a weirdd animation, it's like a circle that gets absorbed by a line and then it like breaks out of the line like a xenomorph and then goes back and recombines into the circle

@identicalgd2446 Жыл бұрын

2:44 felt like an ancient message

@MKB720P Жыл бұрын

Ancient aliens message

@gwenlyre8897 Жыл бұрын

2:19 this video was sponsored by Opera GX!

@abstrick_ Жыл бұрын

1:42 How Italian make pizzas

@smiley6425 Жыл бұрын

Bit of an unfortunate choice of a song, it would normally be ok if it wasn't heavily associated with geometry dash and will now flood your comments

@Smesper 2 ай бұрын

it's fine

@sendansen7416 Жыл бұрын

2:55 like something dropped in a puddle also

@The_GreenHub Жыл бұрын

as someone who plays a lot of geometry dash and is literally trying to beat cata, i was not expecting at the speed of light to be playing

@imavirginm8264 Жыл бұрын

I immediately searched the comments for a gd reference

@comfykit_ Жыл бұрын

gl on cata!!!!!

@Lianmin27 Жыл бұрын

0:58 now play that in desmos

@martincampaner859 Жыл бұрын

3:12 the music is well named

@palmossi 9 ай бұрын

Speed of light?

@khorramzadeh5892 Жыл бұрын

So cool to see at the speed of light as the background music. First time I do and that feels great

@lukarikid9001 Жыл бұрын

Thank you!!!! I use parametric to model some of my 2D animation and that “windy” graph is perfect for modeling a tail, wings or a tongue! Parametrics are my favorite!!

@The-pf4zy Жыл бұрын

Wow! This is actually really interesting and I never thought that this was possible in Desmos. I was messing around in the calculator and found this: (a+x)(a+y²)=tan(x). You get an interesting animation where there's some change being transferred from line to line while a's value goes up and down.

@greps4229 Жыл бұрын

You can graph a family of curves by typing into desmos things like a = [-5 ... 5] and you can do a lot of stuff with lists utilizing tools like list comprehension.

@GodplayGamerZulul Жыл бұрын

Kinda reminds me of a photon interacting with obstacles.

@SARMA360 Жыл бұрын

drawing the "galaxy" graph is 100x harder than beating bloodlust

@ultimasvalk 11 ай бұрын

Tight wave spam 2:08

@novygaming5713 Жыл бұрын

3:26 at a=pi or a=-pi the mandelbrot set's big bulb shape appears. This shape appears everywhere involving pi.

@limenlemon3116 Жыл бұрын

I was messing with the graph at 4:10, and if you remove the plus sign in the middle of the two parentheses, you get a twinkling star. If you multiply the entire equation by big numbers, you make the star smaller. However, if you multiply by small numbers (above 0), you make the star bigger. Multiplying it by a number -n, is in fact, the same as multiplying it by the positive version n.

@EvanLovesFoxes 9 ай бұрын

It actually works!

@wargasaturnus1585 8 ай бұрын

didn't expect you going to use speed of light as a background song, literally sang the beat from the start of the video till the end

@stardreamix786 Жыл бұрын

This is so amazing, I have to try some of these! Thank you so much for sharing this 😊

@QuantumScratcher Жыл бұрын

One I like is xa+y/a=xy. Moving hyperbola which moves outwards when a is near 0. Also, xa+y/a=y is a diagonal line which rotates and swings back.

@V-for-Vendetta01 Жыл бұрын

This has to be the best thing I've seen all day.

@quadroninja2708 Жыл бұрын

that clearly shows how a function can behave when a parameter is changed, very cool!

@Asterism_Desmos Жыл бұрын

Interesting graphs! Can’t wait to see more.

@Asterism_Desmos Жыл бұрын

@kraeon5 Im glad to hear that you are interested in them! Strange to see a viewer in the wild though lol.

@lemniscatecube8673 Жыл бұрын

2:00 quack

@spoon7328 Жыл бұрын

1:32 was cool bc of the song

@ozzienemo 9 ай бұрын

1:31 is better

@dhruvgupta5658 Жыл бұрын

2:23 and this is how Quora was formed

@Noone-wz1ys Жыл бұрын

Saved this in my desmos, Truly love it

@sirmanki Жыл бұрын

Pretty cool! I'm waiting for more

@ForYouPlays Жыл бұрын

0:16 the timing with the music god dang!

@andrzejthomas6494 Жыл бұрын

i love that when you add tangent to something it always messes it up

@skylardeslypere9909 Жыл бұрын

This is an amazing video. I'm glad it popped up in my recommended.

@hyspecs7906 Жыл бұрын

My favorite is x^k + y^k = 1, for k rational. It transits between astroid, circle and square shape.

@jacky2476 Жыл бұрын

4:00 that’s awsome

@judyruby2064 8 ай бұрын

wow, i additionally love how this goes. with basic variables or position letter x and y, its used for graphs, code, and may types of stuff too! its much more fun with the experience of advanced math and alot more :).

@Dimitri19Cubing Жыл бұрын

Here is a nice one : x = cos(2t) and y = cos(3t+b) for -pi < t < pi You can just write it as a set of points in desmos : ( cos(2t) , cos(3t+a) ) Let a vary to animate

@crazy510 5 ай бұрын

Naw bro, those graphics are a whole bloodbath...

@ilikespaceengine 5 ай бұрын

Frfr

@Qstate 10 ай бұрын

Sometimes, it really feels like you are seeing the shadows of higher dimensional functions

@sahildas. 7 ай бұрын

1:44 bro just got born to vibe

@thebluefrawog 9 ай бұрын

This is why i dont do maths it'll take me over 25,000 attempts to get something right

@youlookinalittlesussyovert4260 Жыл бұрын

If you graph r=cos(nθ) or r=sin(nθ) and make the graph animate extremely slow, like make 2 numbers for the animation domain at most 0.1 apart and slowest speed, and zoom into the center, you can see random hypnotic patterns from lines intersecting each other.

@youlookinalittlesussyovert4260 Жыл бұрын

Never mind, don’t think it works anymore😪

@Logarithmic-Spiral 6 ай бұрын

Awweee@@youlookinalittlesussyovert4260

@neutrogemax8494 6 ай бұрын

@@youlookinalittlesussyovert4260 math 2 just dropped they fixed it thats why it doesnt work anymore

@christinahamilton7676 Жыл бұрын

3:15 My favorite thing about this graph is whenever _a_ is a multiple of 5, you get all these cool flower patterns. If _a_ = 5 or -5, then you get a circle.

@JMZReview Жыл бұрын

Well yeah because then that means it's just sin of (theta multiplied by some integer)

@makux9475 Жыл бұрын

it's amazing how some math functions literally resemble a well-thought-out dance represented by lines, circles, etc

@40watt53 Жыл бұрын

This is the best Desmos video I've ever watched.

@OxidiumTech Жыл бұрын

Holy cow Bloodlust

@AkivaB Жыл бұрын

Bloodbath was first

@adamdorsky5465 Жыл бұрын

@@AkivaB cataclysm

@coachman1532 11 ай бұрын

These animations are so satisfying i can’t let go of them

@logan3102 8 ай бұрын

nice gd reference

@badRandy2100 8 ай бұрын

I love this and would have understood math so much more in school

@mohammadomar6530 11 ай бұрын

I am about to cry . this is wonderful man . Thank you so much

@jonnytb212 Жыл бұрын

Hmm this song sounds like geometry dash

@jachii196 Жыл бұрын

The song fits so well but I’m so used to hearing it in gd it’s so funny

@godfreytomlinson2282 Жыл бұрын

That was awesome. Subscribed

@eduardoandrescontrerasrome6703 Жыл бұрын

I loved these and I need more!

@cristianestebanaranedarive7396 Жыл бұрын

Really cool, bravo!. You could also do a 3D version using GeoGebra, it probably would look great too, z=sin((√x²+y²)+a) looks like waves on water.

@amitfarkash809 Жыл бұрын

F(x)= x^2/3 + 0.9(5-x^2)^1/2 • sin(ax) While a is between 0 and 100 should have definately been in that video And is also my thought on this video

@egoworks5611 Жыл бұрын

LOL nice

@GauravkumarSingh7 Жыл бұрын

Wow! Wonderful graphs representation.

@omograbi Жыл бұрын

Amazing!! If you could do graphing on 3 dimensions level the changes would have mor depth. Evenmore, if you could visualize the transmission on complex plane level, it would bemind blowing!!

@kodirovsshik Жыл бұрын

How did you make it so smooth? It is beefy PC or you had to render some parts much slower and then speed it all up?

@andreimarentette6368 Жыл бұрын

1:18 The Worm

@MoonStudioAnimation Жыл бұрын

wiggle wiggle wiggle

@Questiala123 8 ай бұрын

Why does it look so satisfying?

@nevergonnagiveuupnevergonnalet Жыл бұрын

r=sin(a/5*θ)*2 The beautiful equation, When a=-10 or 10 : clover When a=8.3 or -8.3 : A beautiful flower! When -5 or 5 : Wormhole! When a=-1.7 or 1.7 : A beautiful race line ,but. there’s no end and one line is endable(it means it will disappear when someone runs on that LINE) When a=-0.1,-0.2 and 0.1,0.2 : vortex

@Robisquick 8 ай бұрын

That last one looked like the reflection of the sun on a pond

@kie927 Жыл бұрын

Try( tan θc)-c (the variable doesn’t matter). Also you can try different trigonometric functions with this equation and it produces some crazy cool stuff

@tsurfa5278 7 ай бұрын

you mean r=(tan θc)-c?

@raulvelez3475 Жыл бұрын

Increíble, como es posible que la matemática pueda hacer eso, algo inimaginable, un saludo @Andrew

@xlthecoolguy-lz7uh Жыл бұрын

One of my favourites is y=(cos(x)*-(tan(x)+sin(x^2)))^2, it's very clear near (0,0) but gets muddier the more you move away from the origin and eventually forms a line of heart-shapes.

@MochiClips Жыл бұрын

What I love about x^a is imagining thr curve on the negative side whizzing in circles and popping into existence again when it hits the real plane lol

@mahanp6993 Жыл бұрын

is there a way to average the x and y values of each point for the graph r=sin(a/5 theta)? if so this would help me a lot

@egoworks5611 Жыл бұрын

In order to have the average r values you must do a double integral, first for theta then for a. The coolest thing is that the first one yields to a 2(sin(xπ))/x type of integral (depending on how many whole turns (N2π) you want for θ), and from here you can youse the Feynman's method to integrate (kzfaq.info/get/bejne/qZeqm7x1md6anY0.html) , but with a catch, and that is that you might have to do some workaround to find the constant, because the integral of the video isn't bounded to "a", the variable you want to have as a parameter for knowing the average 1/a' * \int_0^(a'){f(a)d(a)} But that's pretty much an analytical approach, thus you'll have to change coordinates and stuff. Also the turns are very important because with them, the expression is not a function(you might have many r values for the same theta) I would like to know what's the purpose/motivation for having the average with respect to the parameter a? if you're just looking for the average for a single a value don't mind me, I'm just curious

@mahanp6993 Жыл бұрын

@@egoworks5611 so i wanted to create a way to visualize a fourier transform like 3b1b did but the normal e to the i theta integral doesnt work in desmos because desmos doesnt support imaginary numbers

@purple_sky Жыл бұрын

@@Andrewman r² = x² + y²

@Djake3tooth Жыл бұрын

@@mahanp6993 but it does support lists, so actually you can implement it using lists and functions of lists. I actually have a graph of the e^(i*theta) from that 3b1b video

@lordkab00m18 Жыл бұрын

h o l y s h i t is that a MOTHIER FOOKIN GD REFERENCE?!?!

@dogmania2892 Жыл бұрын

aAaAaAaAaAa

@3_ormorecharacters Жыл бұрын

hearing speed of light immediately triggered fear

@ShellPois 3 ай бұрын

This vide is so clear and it is simple and fast as the speed of light, i admire the lambotistic of this level, this made me took a bath.

@M-for-Lobotomy 9 ай бұрын

Damn this level looks like an Extreme demon

@bobingstern4448 Жыл бұрын

Try the Wierstrass Function, it wobbles and it’s really cool!

@gabedarrett1301 Жыл бұрын

I second this, especially from n=0 to n=a since n=infinity might be problematic

@sjthecreator Жыл бұрын

“Galaxy” Me: Are ya sure ‘bout that?

@WaxyLT 8 ай бұрын

This is the most intense math I've ever seen

@sussy8579 Жыл бұрын

Holy cow geometry dash song

@maces1 Жыл бұрын

Supersonic ?

@sussy8579 Жыл бұрын

@@maces1 At the speed of light

@maces1 Жыл бұрын

@@sussy8579 BLOODBATH !!

@maces1 Жыл бұрын

@@sussy8579 im so stupid

@sussy8579 Жыл бұрын

@@maces1 lol its ok

@justaboreddude9089 Жыл бұрын

I’m only here for the GD reference

@TheReimaginedGamer Жыл бұрын

Hi only here for the GD reference

@vladnightmare7626 Жыл бұрын

Going into this the thing I least expected was At The Speed Of Light to start playing lmao

@ultimade9610 Жыл бұрын

This is one of the best math videos I've ever seen. 2: 14: It seems the Opera logo.

@applemelonsugar Жыл бұрын

As a both Geometry and Geometry Dash lover I can say it is extreme calculus demon

@ffelixh Жыл бұрын

this song brings me way back, but these are harder than the demons on geometry dash :))

@sovietrodan5326 4 ай бұрын

1:14 bloodlust played

@bblz9171 Жыл бұрын

Wow, this short video made me understand a lot about math

@GigaJinGaming3711 8 ай бұрын

My brain just expanded at the speed of light

@mygills3050 Жыл бұрын

r=mod(a,θ) results look cool near the center around a=6600 onward especially if you run two of the function with separate color due to lag

@cosmozone31 8 ай бұрын

Normal people: focuses on the video Me: heart beat intensifying because of the music*

@dartagnandebatz3304 11 ай бұрын

AMAZING!!!, The best expression in math graphics.

@relt_ Жыл бұрын

this gives me ideas for effects for my next WMV

@szczur03 Жыл бұрын

I love how Opera paid math to have their logo included in one of the functions

@slesser6373 Жыл бұрын

At the speed of light. Great song

@LeoLeSchmartie2053YAEY 5 ай бұрын

This would be the smoothest animation I have ever seen ❤❤❤!