Awesome Math Animations 

Can you upload a 3d version?

The nostalgia of making random graphs until you find something cool.

I love that I'm not the only one with the overlap in interests of death metal and math

0:52 fun fact: every single function output for each arguments a and b on this function can be described as a plane cross section of two cones shaped like an hourglass. This is basically what conics is.

I think it’ll be interesting when graphing calculators get better to see how these graphs compare. Maybe they look completely different,

I like that the "hearts" graph has a squiggle in the moddle which kinda looks like the ekg trace of a heartbeat

Wasn't expecting to hear Opeth in a math video, it just made everything 1000x better.

seems like the "circle filled with sine wave" at 2:12 is actually filled with more circles

this math gameplay is insane 🔥🔥🔥🔥

Pov: You rubbed your eyes too Hard 3:53

Is it just me or would 6:11 be *fantastic* for video game random generation of structures? Like, you get randomized points with what seems to be a pretty random scattering too (other than right by the x axis), except they're not just points but have actual dimensions which could be used to map out the size of the structure as well.

Love how it at some point becomes straight up fractals.

3:28 this can be a good loading screen

Every time you return to the same topic, and every time you have something to surprise.

Pretty sure your stuttering curve is only stuttering because you gave the variable A a step-size of 1, so it's not moving continuously

For me I noticed that with an extremely strong PC CPU it shows much better, also zooming in on rough lines will make them smooth some.

I love the well-timed drop in the music 🎶 when level 3 starts!

This is why I get confused when someone says they hate math, there is always something mesmerizing…

Came for the math, stayed for the music

I can feel the pain desmos and grapes go through to just display these

The circle filled with circles reminds me of a common representation of a wave function in quantum mechanics

Man, this soundtrack is SHREDDING!

Was not expecting Face of Melinda but I’m pleasantly surprised

Geometry dash, math, and a Fate profile picture… this channel was meant for me

Perfect choice of music. Love that band. Edit after watching: I liked 4:30, The dance of Tangent Curves.

Came here for maths, stayed for music. Absolutely amazing music choice!!

this is hypnotizing and scaring at the same time

2:20 that is one of the coolest graphs ive ever seen wow. Great work, and great video :)

I am a desmos user and a not so popular youtube chanel (at 2023, if you're looking at this 20 years from now and wonder why it's different) - i bet these can grab people's attention! Thanks! I subscribed!

This was wonderful, gorgeous function plots and face of Melinda to top it off :) I was absolutely hooked

Always interesting to see your creation, thanks! I teach calculus and I show your video to the students when we start to work with implicit function.

Try this one: a\left(x ight)=\frac{\frac{\tan\left(1 ight)}{10x}g\sin^{-1}\left(\cos\left(x^{\left(xg ight)} ight) ight)}{2} Set the g variable slider to the lowest value of -30 and the highest value of 20. It'll create a wave-like pattern and then create a small wave pattern.

awesome video! i'm so curious at 6:17 if there is any relationship between the generating of the circles and the logistic map, since it seems like chaotic behavior. also really interested by the roughness of some of the lines, would love to zoom in and see if it's rough all the way down (fractal) or smooths out with zooming in. great video and i love the music too

This is the most interesting math videos I've seen, please post more

Wow thats amazing. There are so many beautiful graphs!

really love this series

The music is exceptional!

r = Sin (a/e * theta) a = e 2e an everchanging circle. You can replace the sin with other functions like csc and floor that equasion to get stunning circles

I really didn't like the math classes. But to see dynamic graphss like these, I finally do realize what they meant... Thanks for the good works!

I like the music and slideshow nature of this, reminds me of old RU-vid.

4 months ago, this video introduced me to my favorite song. Absolutely blew me away the first time I heard it.

2:34 i love it❤❤

When world most needed him, he returned

Excellent choice of music :D

WHOAH THATS SO AWSOME I CANT BELIEVE I JUST SAW THE MATH ANIMATIONS :3

Wonderful video, love the Opeth background. Now think find the most brutal and sadistically complicated graphs to display on a Cannibal Corpse song 😂

I got recommended this video at the perfect time cuz we r learning about cardioids limacons roses and lemniscates in honors precalculus and i really enjoy them so this video made me happy

That's what I ask for when I open RU-vid

Late night just scrolling through youtube and found this, really neat and i love the music, i pairs so well! Have a day, i can force you to make it good, just have one.

Thank you for introducing me to this band

Awesome channel. Thanks. Subscribed. Cheers.

As a guy who's not really into metal, Opeth is a great band

Awesome how beautiful math can be :)

Would be cool to see some differential equation solutions graphed with varying initial values

Very cool. Was planning to learn math when I havve the time. And do these when I have enough knowledge

Actually thank you, this is so f-ing nice

This music goes *absolutly perfect* with this video

Really great, thanks .

Beautiful stuff! Just a quibble on nomenclature: a usecase is not a use. Usecase has a specific meaning in computer science that is not synonymous with use or useage.

heart attack at 4:25

6:12, this one actully kind of works better on desmos if you zoom in a bit. you can see it makes a bunch of concentric circle-like things around the origin

thanks this is quit helpful when playing with functions using shaders

I have to say the song playing in the background was amazing

PLEASE GOD UPLOAD A VIDEO ON HOW TO GRAPH A CIRCLE AROUND A POINT TO MAKE IT MOVABLE I BEG OF YOUUUUUUUUUU

Face of Melinda and cool graphs, boss ass video

2:59 It seems one of the values is only changing in increments of one.

I love how humanity has managed to make graphs so complex that fucking graphing sites and a hard time/ cant even process them

Nice choice of music

3'00 It won't stutter if the a parameter isn't fixed to integers

0:25 Better Call Saul moment

I've seen a lot of mathematics over Tool... but Opeth is a new level

Shoutout to Horny for his contribution 🙏

00:25 Logarithm of a variable line 00:39 A springy function 00:51 A variable pythagorean function 01:14 An elliptic curve. Often used in cryptography. 01:33 A hyperelliptic curve. The general case of an elliptic curve. Level 2 The parameter change yields sophisticated or hardly predictable movement 02:07 A circle with a variable radius filled with a sine wave of a variable density 02:31 Infinite field of hearts. by XLTheCoolGuy 02:47 Actual audio spectrum! by SakaroZ 02:59 The stuttering curve. Looks like a Desmos-only quirk 03:24 Looks like an optical illusion 03:45 An affine plane consisting of different curves. Mesmerizing! Desmos fails to display this one. I'll use GRAPES. Level 3 Unpredictable graphs that even Desmos is struggling to show. (or, even fails completely 04:33 The dance of tangent curves. by Hory 04:59 Symmetric curve tunnels. by Anticiobster831 05:25 From this point on, I'll just stick to GRAPES, as Desmos doesn't seem to do the job at all 05:45 Stalagmites. The inequation crashes GRAPES. by Y!KES (was-not-found 06:12 The random point generator. 06:38 The parametric tangent spiral. 07:04 Ancient alphabet. a = 2; b = 2

thank you for new video

Oh my goodness, didn't expect Opeth here

Me too i like The stuttering curve. Looks like Desmos-only quirk

everyone’s talking about how cool it is but is nobody gonna mention that missingno from pokemon just appears at 5:05

here is a cool but random equation to use: y=\frac{\left(\tan\left(x ight)+\sin\left(x ight)+\cos\left(x ight) ight)}{\csc\left(x ight)+\sec\left(y ight)+\cot\left(x ight)} just copy this and put it in desmos

You need more subs.

I did not expect to hear Opeth when clicking on this video, but I must say I am not disappointed

Epic!

0:44 kinda looks like the phagrean curve(correct me for any spelling errors

2:31 OMG the hearts are beating!

very cool. in the random point generate you could replace "y=1/" by "y=y/" and get 2d random chaos :)

i know there must be some hidden mathematical gens somewhere in these weird graphs; the graphs might have absolutely not applications but im sure answering questions about solving one of the equations, finding integer solutions, series representation, and etc. must yield something interesting

6:23 goes hard!

DUDE I LOVE OPETH

Ideal modulation for secret messages.

This is... oddlly satisfying...

Thanks for collecting these zany functions. To move beyond the tantalizing glimpse, I love to see not just a 3D graph as others have requested but a 4D using colour as the forth dimension. Or why stop there. How about a 5D graph using time (animation) as the fifth dimension. 🙂

Love the song, Opeth is a great band

Opeth! Great choice.

Bro this just scares and frustrates me because I cannot understand how any of this works at all.

Cool. Cant comprehend it fully. But still cool

Nice graph

This makes me want to download grapes

so cool

Idk why I like watching this stuff 😂 🤷‍♂️ Imma subscribe 👍🏻

this man deadass making an extremely useful video with opeth in the background what a fucking gigachad

Love opeth great video bro