I really appreciate how the transitions are timed with the music

@jeremywoolley

2 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

2 жыл бұрын

I really don’t appreciate you furry.

@tentyp2

2 жыл бұрын

comically synced

@fentonflatt297

2 жыл бұрын

Geometry dast

@mozvi1436

2 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

These graphs are Cataclysmic!

@GumbaverianX

2 жыл бұрын

Nice geometry dash reference lol

@Lollyface100

2 жыл бұрын

what will the aftermath be?

@Lollyface100

2 жыл бұрын

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

@Ja_Crispy

2 жыл бұрын

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

@Lollyface100

2 жыл бұрын

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

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

2 жыл бұрын

It exactly looks like what I draw with a spirograph!

@heotapgym-piggym2460

2 жыл бұрын

bloodlust

@rosiefay7283

2 жыл бұрын

@@fandroid6491 Spirograph curves are hypocycloids.

@stcoops

2 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)

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

Жыл бұрын

2:20 he doesnt need a cap for that 😂

@Andrecio64

Жыл бұрын

2:56: cynosural field generator

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

@assiddiq7360

2 жыл бұрын

Omg, it does!

@28rizzons

2 жыл бұрын

It actually does lol.

@baibhavpalit1085

2 жыл бұрын

Yes...true...!!

@notneo7898

2 жыл бұрын

It's Opera Browser

@bettercalldelta

2 жыл бұрын

@@notneo7898 Opera Browser is before that

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

@Plutogram

2 жыл бұрын

I was hoping someone would point this out. 🙏

@XX-35withtophat

4 ай бұрын

o

@lukaskode5459

4 ай бұрын

funny enough I'm watching it on opera

@user-uz4bf6vo9k

4 ай бұрын

opera=best browser cus adblocker

@cryfiented

3 ай бұрын

*oracle

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

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

2 жыл бұрын

hi

@AkivaB

2 жыл бұрын

*Bloodbath intensifies*

@dogmania2892

2 жыл бұрын

BLOODBATH WAT

@tentyp2

2 жыл бұрын

@@UN4YA_Content hi

@kodirovsshik

2 жыл бұрын

No WaY

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

2 жыл бұрын

0/10 generic hell themed extreme

@maces1

2 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

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

4 ай бұрын

it's fine

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

@agentfelixscpit

6 ай бұрын

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

2:44 felt like an ancient message

@MKB720P

2 жыл бұрын

Ancient aliens message

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)

@staticchimera44

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

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

@staticchimera44

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.

The song perfectly fits with the video

@AkivaB

2 жыл бұрын

At the speed of light also known in gd as bloodbath

@AkivaB

2 жыл бұрын

@@Victor_StudentOfFloppa who tf asked you?

@AkivaB

2 жыл бұрын

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

@kenos911

2 жыл бұрын

Ironically the aftermath part has the best ones

@Orzeczenie.

9 ай бұрын

@@Victor_StudentOfFloppa me

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

@MoonStudioAnimation

Жыл бұрын

OMG THAT IS SOOO COOL.

@Tetracontakaitetragon

11 ай бұрын

it nearly destroyed my pc 8/10

@GameristicForce

8 ай бұрын

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

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

2 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

2 жыл бұрын

Kinda reminds me of a photon interacting with obstacles.

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

11 ай бұрын

It actually works!

1:42 How Italian make pizzas

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!!

2:14 opera browser

@XX-35withtophat

7 ай бұрын

O

@Tornike-cd8xr

6 ай бұрын

*O*

3:12 the music is well named

@palmossi

Жыл бұрын

Speed of light?

2:19 this video was sponsored by Opera GX!

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

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

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.

Interesting graphs! Can’t wait to see more.

@Asterism_Desmos

2 жыл бұрын

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

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

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

8 ай бұрын

Awweee@@youlookinalittlesussyovert4260

@neutrogemax8494

8 ай бұрын

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

Tight wave spam 2:08

2:55 like something dropped in a puddle also

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

@ilikespaceengine

7 ай бұрын

Frfr

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

1:32 was cool bc of the song

@ozzienemo

Жыл бұрын

1:31 is better

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

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

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

Pretty cool! I'm waiting for more

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)

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

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

@logan3102

11 ай бұрын

nice gd reference

0:16 the timing with the music god dang!

4:00 that’s awsome

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

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

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

2 жыл бұрын

I immediately searched the comments for a gd reference

@comfykit_

2 жыл бұрын

gl on cata!!!!!

2:00 quack

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

Saved this in my desmos, Truly love it

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

Holy cow Bloodlust

@AkivaB

2 жыл бұрын

Bloodbath was first

@adamdorsky5465

2 жыл бұрын

@@AkivaB cataclysm

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 :).

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

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

1:18 The Worm

@MoonStudioAnimation

Жыл бұрын

wiggle wiggle wiggle

@Questiala123

11 ай бұрын

Why does it look so satisfying?

I loved these and I need more!

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

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

2:23 and this is how Quora was formed

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.

That was awesome. Subscribed

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

10 ай бұрын

you mean r=(tan θc)-c?

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.

Wow! Wonderful graphs representation.

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

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

2 жыл бұрын

LOL nice

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

2 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 (kzread.info/dash/bejne/pWWuyrt9ZNucnbw.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

2 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

2 жыл бұрын

@@Andrewman r² = x² + y²

@Djake3tooth

2 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

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.

these graphs give me a good bloodlust

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

@gabedarrett1301

2 жыл бұрын

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

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?

this gives me ideas for effects for my next WMV

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

Hmm this song sounds like geometry dash

I’m only here for the GD reference

@TheReimaginedGamer

2 жыл бұрын

Hi only here for the GD reference

This video gives 2010 vibes. Loved it!

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

Holy cow geometry dash song

@maces1

2 жыл бұрын

Supersonic ?

@sussy8579

2 жыл бұрын

@@maces1 At the speed of light

@maces1

2 жыл бұрын

@@sussy8579 BLOODBATH !!

@maces1

2 жыл бұрын

@@sussy8579 im so stupid

@sussy8579

2 жыл бұрын

@@maces1 lol its ok

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

(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

well that's a fascinating way to learn that a cool animation from a flash game I once played actually comes from a mathematical formula

Damn this level looks like an Extreme demon

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

@dogmania2892

2 жыл бұрын

aAaAaAaAaAa

I like them very much. Continue to do such enjoyible videos

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

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

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

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

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

Nice geometrical animations ;)

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!!

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

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

I heard speed of light and it activated my fight or flight instinct. Great video op 👍

1:44 bro just got born to vibe

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

Cool video man 🤩

Wow, this is so cool!

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

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

One of my personal favs is r=arcsin(cos(a×theta)) :) Similar to r=arcsin((a/5)×theta) but looks more like a flower with a unique bud for every value