Amazing Math Animations

[@ClaramayNivetta]

I really appreciate how the transitions are timed with the music

[@jeremywoolley]

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]

I really don’t appreciate you furry.

[@tentyp2]

comically synced

[@fentonflatt297]

Geometry dast

[@mozvi1436]

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

[@Zenzicubic]

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]

It exactly looks like what I draw with a spirograph!

[@heotapgym-piggym2460]

bloodlust

[@rosiefay7283]

@@fandroid6491 Spirograph curves are hypocycloids.

[@stcoops]

i believe they r similar to the logic behind fourier transforms

[@georgespalding5969]

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

[@raveaw379]

These graphs are Cataclysmic!

[@GumbaverianX]

Nice geometry dash reference lol

[@Lollyface100]

what will the aftermath be?

[@Lollyface100]

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

[@Ja_Crispy]

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

[@Lollyface100]

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

[@elements203]

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]

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

[@elements203]

@@initiald975 Website

[@rahulsinghalwal1]

Lol, why you wrote opera like that 😂

[@chiemieru7897]

2:20 he doesnt need a cap for that 😂

[@Andrecio64]

2:56: cynosural field generator

[@bettercalldelta]

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

[@assiddiq7360]

Omg, it does!

[@28rizzons]

It actually does lol.

[@baibhavpalit1085]

Yes...true...!!

[@notneo7898]

It's Opera Browser

[@bettercalldelta]

@@notneo7898 Opera Browser is before that

[@therattestofrat]

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

[@spyshead6217]

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

[@RandomHandle-fun2rhymes]

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

[@swagmoneybuge]

0/10 generic hell themed extreme

[@maces1]

The 1rt btw

[@stonkman7878]

too bad its extended list

[@igneousorgan6435]

What are you talking… _video starts_ Ohhhhh….

[@another_eu_player8035]

Nah medium demon at best

[@tentyp2]

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]

hi

[@AkivaB]

*Bloodbath intensifies*

[@dogmania2892]

BLOODBATH WAT

[@tentyp2]

@@UN4YA hi

[@kodirovsshik]

No WaY

[@staticchimera44]

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]

Adding another one makes it look like blobs chasing each other

[@tesseract7586]

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

[@staticchimera44]

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

[@Stuffinround]

@@staticchimera44 he might mean sqrt(2) times a sin function? I’ve put sqrt(2)sinx into Desmos and it’s pretty accurate.

[@staticchimera44]

@@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.

[@smiley6425]

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]

it's fine

[@jouzibar5112]

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

[@agentfelixscpit]

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

[@AkoCode]

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

[@Plutogram]

I was hoping someone would point this out. 🙏

[@XX-35withtophat]

o

[@lukaskode5459]

funny enough I'm watching it on opera

[@Oliver-q2f]

opera=best browser cus adblocker

[@cryfiented]

*oracle

[@The-pf4zy]

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]

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]

Kinda reminds me of a photon interacting with obstacles.

[@codoudou]

The song perfectly fits with the video

[@AkivaB]

At the speed of light also known in gd as bloodbath

[@AkivaB]

@@Victor_StudentOfFloppa who tf asked you?

[@AkivaB]

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

[@kenos911]

Ironically the aftermath part has the best ones

[@Orzeczenie.]

@@Victor_StudentOfFloppa me

[@khorramzadeh5892]

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

[@lukarikid9001]

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!!

[@limenlemon3116]

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]

It actually works!

[@quadroninja2708]

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

[@identicalgd2446]

2:44 felt like an ancient message

[@MKB720P]

Ancient aliens message

[@eims9733]

2:14 opera browser

[@XX-35withtophat]

O

[@Tornike-cd8xr]

*O*

[@ClimFreeFeelRain]

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

[@MoonStudioAnimation]

OMG THAT IS SOOO COOL.

[@Tetracontakaitetragon]

it nearly destroyed my pc 8/10

[@GameristicForce]

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

[@Dimitri19Cubing]

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

[@christinahamilton7676]

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]

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

[@notthatntg]

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.

[@The_GreenHub]

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]

I immediately searched the comments for a gd reference

[@comfykit_]

gl on cata!!!!!

[@V-for-Vendetta01]

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

[@coachman1532]

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

[@logan3102]

nice gd reference

[@StupidCupid627]

2:19 this video was sponsored by Opera GX!

[@hyspecs7906]

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

[@SARMA360]

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

[@novygaming5713]

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

[@JarBarBare]

@@novygaming5713 it’s a cartoid. very common with circles and pi

[@nevergonnagiveuupnevergonnalet]

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

[@abstrick_]

1:42 How Italian make pizzas

[@makux9475]

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

[@martincampaner859]

3:12 the music is well named

[@palmossi]

Speed of light?

[@Toaster-jr5eo]

im never letting a geometry dash player access math again

[@spoon7328]

1:32 was cool bc of the song

[@ozzienemo]

1:31 is better

[@jumpathy_dev]

(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

[@judyruby2064]

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 :).

[@ultimasvalk]

Tight wave spam 2:08

[@wargasaturnus1585]

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

[@amitfarkash809]

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]

LOL nice

[@sendansen7416]

2:55 like something dropped in a puddle also

[@Asterism_Desmos]

Interesting graphs! Can’t wait to see more.

[@Asterism_Desmos]

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

[@szczur03]

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

[@jachii196]

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

[@bigmartin343]

2:19 Should be Opera's logo animation

[@sirmanki]

Pretty cool! I'm waiting for more

[@andrzejthomas6494]

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

[@bobingstern4448]

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

[@gabedarrett1301]

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

[@ultimade9610]

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

[@jacky2476]

4:00 that’s awsome

[@alejotassile6441]

1:15 I can see a sine wave moving through space and this would be the slope at x=0 1:30 This one is like cutting a cone with a plane at different angles and seeing what would be left in the plane Damn, those two are really beautiful to observe

[@dhruvgupta5658]

2:23 and this is how Quora was formed

[@skylardeslypere9909]

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

[@Atomis2K9]

Holy cow Bloodlust

[@AkivaB]

Bloodbath was first

[@adamdorsky5465]

@@AkivaB cataclysm

[@badRandy2100]

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

[@andreimarentette6368]

1:18 The Worm

[@MoonStudioAnimation]

wiggle wiggle wiggle

[@Questiala123]

Why does it look so satisfying?

[@xlthecoolguy-lz7uh]

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.

[@scientistvwoman4970]

it works without the negative sign as well :)

[@kie927]

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]

you mean r=(tan θc)-c?

[@FireyDeath4]

Do people just type these things in randomly and later go like "oh well that's really cool, I'll save this"

[@lemniscatecube8673]

2:00 quack

[@aegon1807]

This video gives 2010 vibes. Loved it!

[@lordkab00m18]

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

[@dogmania2892]

aAaAaAaAaAa

[@40watt53]

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

[@cristianestebanaranedarive7396]

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.

[@sahildas.]

1:44 bro just got born to vibe

[@raulvelez3475]

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

[@thebiggaklipa]

I like the fact that he used "at the speed of light" for a math vid

[@kodirovsshik]

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?

[@ShellPois]

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.

[@justaboreddude9089]

I’m only here for the GD reference

[@TheReimaginedGamer]

Hi only here for the GD reference

[@32KZ]

an awesome superpower would be to summon projectiles like this should you have the equation in your mind, or even create objects out of it.

[@mahanp6993]

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]

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 (kzbin.info/www/bejne/qWLdmYx6ad1po7s) , 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]

@@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]

@@Andrewman r² = x² + y²

[@Djake3tooth]

@@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

[@insertusernameherepls]

Nice geometrical animations ;)

[@crazy510]

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

[@ilikespaceengine]

Frfr

[@vladnightmare]

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

[@ForYouPlays]

0:16 the timing with the music god dang!

[@gutiiplayz]

IM GOING TO TAKE A BATH FULL OF BLOOD AFTER THIS VIDEO.

[@jonnytb212]

Hmm this song sounds like geometry dash

[@sjthecreator]

“Galaxy” Me: Are ya sure ‘bout that?

[@Brokeboy8579]

Holy cow geometry dash song

[@maces1]

Supersonic ?

[@Brokeboy8579]

@@maces1 At the speed of light

[@maces1]

@@Brokeboy8579 BLOODBATH !!

[@maces1]

@@Brokeboy8579 im so stupid

[@Brokeboy8579]

@@maces1 lol its ok

[@LeoLeSchmartie2053YAEY]

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

[@applemelonsugar]

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

[@Noone-wz1ys]

Saved this in my desmos, Truly love it

[@Symm101]

Damn this level looks like an Extreme demon

[@dartagnandebatz3304]

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

[@ffelixh]

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

[@tescowifi]

these graphs give me a good bloodlust

[@ishikani]

i did not expect the song to be atsol but damn those are some nice syncs

[@3_ormorecharacters]

hearing speed of light immediately triggered fear

[@OZZY9669]

I was about to have a heart attack from my PTSD after hearing that first note

[@add852]

Goat music choice

[@twelvetican]

Really appreciate for Geometry Dash music (Dimrain47 - At the Speed of Light)

[@mohammadomar6530]

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

[@kijete]

i hear the beginning of "at the speed of light" and the only thing in my mind is geometry dash. it has locked itself in and is refusing to let me process any other thoughts

[@kijete]

it's like a sleeper agent or something

[@cosmozone31]

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

[@MemeAnt]

I expected math, and just got hit with at the speed of light. Coincidentally, I love gd and math. cudos, my dude.

[@MochiClips]

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

[@S1LLY_NB_AND_MSM_L0V3R]

the music is just *BLOODBATH*