Amazing Math Animations
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- Опубликовано: 22 июн 2022
- 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 
Наука
I really appreciate how the transitions are timed with the music
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)
I really don’t appreciate you furry.
comically synced
Geometry dast
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!
Nice geometry dash reference lol
what will the aftermath be?
@@Andrewman and everyone will have a lust for this blood, after the catabath.
these jokes are flying over my head _at the speed of light_
@@Ja_Crispy they're being blocked by 47 dim rain drops
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
How did you put the equations sideways overlaying the text, “opera web brower?”
@@initiald975 Website
Lol, why you wrote opera like that 😂
2:20 he doesnt need a cap for that 😂
2:56: cynosural field generator
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.
It exactly looks like what I draw with a spirograph!
bloodlust
@@fandroid6491 Spirograph curves are hypocycloids.
i believe they r similar to the logic behind fourier transforms
Fun fact! The exact same graph can be found in the desmos examples under Polar:rose (i dont want this to sound sassy fyi)
2:21 wait.. its you??
opera??
I was hoping someone would point this out. 🙏
o
funny enough I'm watching it on opera
opera=best browser cus adblocker
*oracle
2:26 this actually kinda looks 3d, like running near a sine wave
Omg, it does!
It actually does lol.
Yes...true...!!
It's Opera Browser
@@notneo7898 Opera Browser is before that
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
0/10 generic hell themed extreme
The 1rt btw
too bad its extended list
What are you talking…
_video starts_
Ohhhhh….
Nah medium demon at best
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
hi
*Bloodbath intensifies*
BLOODBATH WAT
@@UN4YA_Content hi
No WaY
Muscle memory made me hit those triple spikes at 1:50
I smashed my keyboard hard a few times when I heard the start (the 7-13 wave is hard as hell)
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
it's fine
2:14 opera browser
O
*O*
This is actually the coolest thing; I haven't seen a program like desmos do this before!
Desmos can get pretty nuts if you know how to use it to its fullest potential
2:44 felt like an ancient message
Ancient aliens message
2:19 this video was sponsored by Opera GX!
3:06 Galaxy ?
*the whole big bang appearing*
OMG THAT IS SOOO COOL.
it nearly destroyed my pc 8/10
“Oh, you dare challenge Desmos?”
anime lines come into view
and no I dont watch any 😅
The song perfectly fits with the video
At the speed of light also known in gd as bloodbath
@@Victor_StudentOfFloppa who tf asked you?
@@Victor_StudentOfFloppa I'm tryna help a person find a song the like
Ironically the aftermath part has the best ones
@@Victor_StudentOfFloppa me
Tight wave spam 2:08
3:12 the music is well named
Speed of light?
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).
Adding another one makes it look like blobs chasing each other
i found the sine graph its rolling on.
its about sine(-1.41421)
@@tesseract7586 I don't quite understand what you mean. sin(-1.41421) is a value, not a graph. Could you elaborate?
@@staticchimera44 he might mean sqrt(2) times a sin function? I’ve put sqrt(2)sinx into Desmos and it’s pretty accurate.
@@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.
1:42
How Italian make pizzas
0:58 now play that in desmos
2:55 like something dropped in a puddle also
Naw bro, those graphics are a whole bloodbath...
Frfr
3:26 at a=pi or a=-pi the mandelbrot set's big bulb shape appears. This shape appears everywhere involving pi.
1:32 was cool bc of the song
1:31 is better
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 omg Opera GX reference
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.
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.
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.
It actually works!
So cool to see at the speed of light as the background music. First time I do and that feels great
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
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
I immediately searched the comments for a gd reference
gl on cata!!!!!
Interesting graphs! Can’t wait to see more.
@kraeon5 Im glad to hear that you are interested in them! Strange to see a viewer in the wild though lol.
This has to be the best thing I've seen all day.
This is an amazing video. I'm glad it popped up in my recommended.
2:00 quack
Pretty cool! I'm waiting for more
0:16 the timing with the music god dang!
This is so amazing, I have to try some of these! Thank you so much for sharing this 😊
drawing the "galaxy" graph is 100x harder than beating bloodlust
4:00 that’s awsome
These animations are so satisfying i can’t let go of them
nice gd reference
Saved this in my desmos,
Truly love it
that clearly shows how a function can behave when a parameter is changed, very cool!
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.
Never mind, don’t think it works anymore😪
Awweee@@youlookinalittlesussyovert4260
@@youlookinalittlesussyovert4260 math 2 just dropped they fixed it thats why it doesnt work anymore
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.
My favorite is x^k + y^k = 1, for k rational. It transits between astroid, circle and square shape.
This is the best Desmos video I've ever watched.
2:23 and this is how Quora was formed
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.
Well yeah because then that means it's just sin of (theta multiplied by some integer)
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 :).
it's amazing how some math functions literally resemble a well-thought-out dance represented by lines, circles, etc
Holy cow Bloodlust
Bloodbath was first
@@AkivaB cataclysm
Sometimes, it really feels like you are seeing the shadows of higher dimensional functions
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.
i love that when you add tangent to something it always messes it up
1:18 The Worm
wiggle wiggle wiggle
Why does it look so satisfying?
The song fits so well but I’m so used to hearing it in gd it’s so funny
That was awesome. Subscribed
I like them very much. Continue to do such enjoyible videos
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
LOL nice
Hmm this song sounds like geometry dash
This video gives 2010 vibes. Loved it!
I am about to cry . this is wonderful man . Thank you so much
Increíble, como es posible que la matemática pueda hacer eso, algo inimaginable, un saludo @Andrew
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?
Wow! Wonderful graphs representation.
I loved these and I need more!
Try the Wierstrass Function, it wobbles and it’s really cool!
I second this, especially from n=0 to n=a since n=infinity might be problematic
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
you mean r=(tan θc)-c?
I love this and would have understood math so much more in school
Wow, this short video made me understand a lot about math
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.
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
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 (ruclips.net/video/s1zhYD4x6mY/видео.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
@@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
@@Andrewman r² = x² + y²
@@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
these graphs give me a good bloodlust
This is one of the best math videos I've ever seen.
2: 14: It seems the Opera logo.
Holy cow geometry dash song
Supersonic ?
@@maces1 At the speed of light
@@sussy8579 BLOODBATH !!
@@sussy8579 im so stupid
@@maces1 lol its ok
h o l y s h i t
is that a MOTHIER
FOOKIN
GD REFERENCE?!?!
aAaAaAaAaAa
This would be the smoothest animation I have ever seen ❤❤❤!
(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
I’m only here for the GD reference
Hi only here for the GD reference
Damn this level looks like an Extreme demon
AMAZING!!!, The best expression in math graphics.
Nice geometrical animations ;)
this song brings me way back, but these are harder than the demons on geometry dash :))
As a both Geometry and Geometry Dash lover I can say it is extreme calculus demon
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
this gives me ideas for effects for my next WMV
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
I heard speed of light and it activated my fight or flight instinct. Great video op 👍
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.
This is the best free software Ive seen. Respect.
perfect sync 👌👌👌👌
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
At the speed of light. Great song
Cool graphs!!!
Cool video man 🤩
i did not expect the song to be atsol but damn those are some nice syncs
Wow, this is so cool!
love the music