vsauce: today we are going to talk about the brachinstochrone. vsauce about 2 minutes later: and 7.5 billion people wouldn't even fill up the grand canyon.
@welshmunn I think mine is a triangle because you can do basically anything with it, including building another one of my favorite polygons, the hexagon ;v;
@@JetFalcon710 from triangles, you can build a hexagon and another larger triangle from a square, you can build another larger square also Wallace - Bolyai - Gerwien Theorem states that every polygon can be break down into pieces and reassembled into another polygon with the same area
This video isn't in real time. I have no doubt that there was a decent amount of time that it took to figure out how to build the curve. They probably had some curves that failed and they improved upon them to get the ending results.
6:13 I'm studying physics for university entrance exams, and I casually re watched this video only remembering the brachistocrone curve, and when I saw that I just realized that this is Snell's law right before he said it I'm f*king proud of myself right now
"VSauce" as the channel is enough "Clickbait" for me to make me click it :D But he earned it. He doesn't need any title or thumbnail at all(literally, theres a video of him without both, 4m views or so :D)
I went to Brain Candy in 2017. The main focus of the show was air. Just 8th grade level air science. There was a few segues of Michael voguing to non-copyrighted house music which was unarguably the best part of the show. Worth the $25 but pretty disorienting. Had to go to the bathroom halfway through to make sure I wasn’t having an LSD flashback.
It definitely looks like that, but what he is really doing is staring down the finish line so he can make his best judgment of which piece hit the end first.
It's obviously because straight line isn't the shortest time to reach the end point. He was looking exactly the way so that the light from his dream coming true reached his eyes in the shortest time possible.
9:05 is so wholesome “I got some protractors there” “Oh oooh” “You’ve got a compass extension” “I’ve got all sorts of things” “I feel so guilty this is a dream of mine come true”
This is fun. I recall studying cycloids in college, and proving they were fastest with calculus. We also performed experiments in physics lab where we used gravity's acceleration to observe them. We even ventured into the topic of rotational inertia.
Video title: *How Do We See?* Intro: *Hey, Vsauce! Michael here! I am in a video. Or am I?* *15 minutes later* Vsauce: *And that is why cereal is soup.*
Adam is so impressive Michael explained his thing and he immediately knew what to do, he started planning and building, and what do you know, it worked
you are one of many people on youtube who think videos arent planned, choreographed, editted and THEN posted. you really think this dude walked up to adam without planning and went: he.... lets build something and record it.
Vsauce: When you do this to a shape and follow the line it's a Me: Brachistochrone? Vsauce: Roulette. When you do THIS though, and then you follow the line it's a Me: Brachistochrone? Vsauce: Cycloid. Ah but now I want you to build THIS, and then follow the line, then it's a Me: Brachistochrone? Vsauce: Cyclogon. When you get from one point to another as quickly as possible, then it's a Me: Cyclo-something? Vsauce: Brachistochrone
saw this video 7 years ago when i was finishing middle school, right now im on my way to fisnishing a major in physics and im still amazed and wont stop thinking about this problem and the genius of johann bernoulli
monkeyslaye Imagine having 3 water slides beside each other being all the slopes in this video and it's made for people to have races on But the smartest person will alway win
I find myself coming back to this video. I love how it starts out with Michael completely in charge, introducing the topic, then you can see the wheels start to turn in Adam's head, he figures it out, and then he takes over. And then Michael takes control back over to take things to the next level. Their skills compliment each other so well
"mathematician have complicated minds, solving complicated problems" Actual mathematicians: *Argued on what's the fastest way to get the ball in the street while standing at the mud*
I know it's a pretty old video, but this is definitely one of my favourite things you've ever done, because of how it takes a mathematical proof and makes it real so even people who don't understand the math can look at it and get that it's true. I've rewatched this 4-5 times and will never get tired of it. lol You might say, brain candy videos like this, is a Tautochrone in that it brings mathematically-inclined people and those who are less-so together in something they can get and enjoy.
Okay guys, I just wanna throw this out there, this is my understading of the video. I will just try to go in order of the points discussed in this video. The center of a disc produces a roulette that's just a smooth straight line while rolling on one, but as you can see in the video a rolling disc (let's call it a circle) draws a straight line in the horizontal dimension, but only one point on the circunference of a of the circle contacts that straight line at a that exact coordinates, because the center of the sphere always points to a singular and unique point on the circumference if pointed in a single direction (radius), and the "place" of that radius is always being changed is a single straight direction (in this case to the right), by rolling. We can observe this 2 dimensional graph because we live in the 3 dimentional world, but the perception of the point on the circumference is that it is not moving what so ever compared to the center of the sphere, to him, the center of the sphere is always a fixed distance, and he is always on the same coordinates of the 1 dimensional circumference. Now just replace the circle with a sphere and the straight line with time. The path time draws is always attributed to a single point of the sphere, there is always only one istant in time and it is always moving forward (rolling), we perceive this because we can perceive that the point on the circumference is following a straight line in the 2 dimensional world, but to itself it is described by a single coordinate, (a 2d object on a graph is x=1 y=2 but a 1d object is just x=1, it describes itself), but we know that that a 1d object can follow a straght line if it's described by a 2nd coordinate in the second dimension. So even though we see the distance getting larger between two points, for the 1d object the points are always the same, so if x=1 and y=2, we get a geometrical straight line from any other point with x = 1 and y != 2, but the perception of a 1d object isn't changed, it is still only 1, is still the same "thing", it has not become 1 and 2 together. So we can fixate two separate and distinct points in the 2d world, that are the absolute same in the 1d world. So if we say that these points are the same point, from our percpective of the 2d world, the statement if false, but from the perspective of the 1d world this statement is true. Knowing this, we who live in the 3 dimensional world, perceive that even though a single point is the same for us, it is never the same for the 4 dimensional world, and so we perceive...time. A 2d object doesn't experience the passage of time, because it cannot observe things changing, it can only observe the 1 dimensional world, which is always the same, it is never chaning, it is the same thing, it is always the same coordinate x=1. But it can perceive the 3d world like we perceive time, because by chaning the value of coordinates you get different points. And this is why discs (circles) are such good wheels, it always follows the shortest path from 2 single points on a road, being the road 1 dimensional, it doesn't matter where the road goes ( we only know where it goes because we describe it in 2d, otherwise it would always be the same road and lead to the same place), but only a single point of the wheel is touching the road at a time, unlike a poligon, who will always have 2 (imagine a square wheel and it's two vertexes), more ditance between the points = more time; but if you make the numbers of vertexes infinite, the distance bewtween them becomes infinimetly small, approaching 0, so on a circle it is 0, zero time, the best time, the best wheel. So if we draw a sphere on a 2d graph and a cube on the 2 graph, in which the x axises is time, the shortest amount of time (length of the lineitself if you measure it) is always a straight line, which is only drawn by a perfect circle that is tangent to the X axis, only a single point whill ever be adjacent to it at a time, which makes a square wheel work only if you bend the 2d world (side note after reading my whole comment: we are assuming here that these 2d objects have 0 mass, and and objects with 0 mass can only move trough the axis if it is tangent to it because it enables it to roll; a square in this example will never move because you need mass to generate force and you need force to slide it on the axis, actually rolling it would require an upward motion as well, but that would require the axis itself to bend, to not be straight), and we can do that, because we can observe it, we just draw a curved line, that is longer. We can recreate this 1d road in our 3d world by bending it's 2nd dimension, creating the road at 2:22, in which the square is tangent to the road, only a single point is touching it at a time. This is not true for a prolate because it goes in the negative "mass", two points of the line connect to a single point in time, which is for us, impossible. We cannot build a road for a prolate wheel, because we cannot bend the 2d space (in this case time) to accomodate the fact that point is always tangent, we would have to remove the space where the point is travelling on the road, but we cannot "remove" space, negative space -> negative mass -> impossible. So really x = time and Y = mass. In the same way, a curtate is also impossible because it does not even touch the time axis. But what happens when mass = 0? Light. Light is the perfect wheel of our 3d world. Light will always travel the shortest distance. A straight line. Light is always tangent to the dimension of time, making the two points the same, so the distance between the points is none, and since speed is the distance / time ( 0/0 ), the speed is impossible, there is no speed, it is the speed limit, making it impossible to achieve the speed of light ( it is the only thing with 0 mass ), or go beyond it by the means of removing the space we need to travel (negative mass). Further on, we cannot bend our 4th dimension, time, we cannot create the conditions for two points in time (the 2 vertexes of a square) to connected the same thing at the same time. In order to do that we would need to "bend", accomodate for this by problem by bending the 3rd dimenion, a thing that we cannot do because we do not actively observe it, we see in 2d, a picture at a time. Now a cyclode is what happens when instead of focusing on the point touching the time axis which is ever changing, we focus on a single point that is moving; we draw a cyclode. Again this wouldn't be possible with a poligon because there would always be a side of the poligon that has two tangent points at one time, creating a parallel to time (parallel times). Now in this amazing video, Adam and Micheal built a 3d version of the cyclode by doing the reverse of what we did in order to build it, by attaching the pencil on the disc they drew the tangent path of the disc (which was in fact rotating for it to happen) on a 2d plane, and later projected that tangent in which time is always costant ( X axsis), so theoretically speaking, it doesn't matter from which point in space the balls starts from, because this "shape" of the road in our 3d world makes it so that they reach the end of this road at the same time, because the tanget touches time on Y = 0 whichever the point in space is , in fact the shot from the side (2d view) they made later on, shows the balls merging into one, they become the same thing, they overlap each other. Light is just that, it has 0 mass, it is the same thing everywhere, is has the same constant speed, and is for us, the costant of universe, because on the graph it is just a straight line, it is the axis itself. But an object living in a dimension higher that us, would perceive and observe the dimension we call time, and it would be able to bend it like we bend the 2d one, unlike the 4th dimension which it cannot bend, because it does not observe it, like us with time. That is why we cannot even imagine what a being living in a dimension higher than us would see like, because a 1d object only knows itself, a point, a 2d object can see every point in a straight line, while we perceive the plane (like looking at a graph from above, perpendicular, like you look at it on your screen right now), and an object in a dimension higher would perceive all of this, plus it's version of our "plane". This is why, in intersellar for example, it is shown as every point in space in every point in time, like we see every point of the line on the graph where the X axis is time, making you able to basically "travel in time", because you have access to that dimension, like we have access to the line on a graph. Anyway, I spent two hours on this, I'm way too high.
GameSupport Probably recorded after the white room, I think that the white room have to have a whole series recorded after it and that series is complete now I believe. Conclusion: the white room could be easily recorded like 3 months ago.
Omg ur so ignorantttt. It’s very possible that the four sides are not exactly equal in lenght, and that the angle of all four corners does not measure exactly 100 gradians. If it is not a square then it would not give the correct results in his demonstration. However the humans visual system is not accurate to the level of this imperfection and thus, michael can use it for his demonstration as a rough version of a square. Check your privileges before you say something this insulting again
FUN FACT: The brachistochrone curve also works in reverse too! To reach orbit rockets must follow the fastest path to space before their fuel runs out. Rockets launch vertically to get above the atmosphere but then pitch down to fly horizontally above the earth’s surface. How do they know when to start pitching and at what rate? The Brachistochrone! 🚀
great..can you link any video related to it and it impresses me that how maths formulas are greatly beneficial and applied in a larger way and it works as we think in perfection!
Hey everyone! I'm doing a special event where I will be subscribing to the first 50 people who subscribe to me! I'm watching the list but also comment and let me know! Come get your free subscriber :D
Actually at Blue Bayou in Louisiana, they have a water slide that is shaped like the curve. It's wild that I realized that after years of going there. It has three rows with sleds that you sit on, and it's curved to allow you to skid across a shallow pool. Really cool stuff!
It is the one you get the most speed in average. The extreme curve would give you the maximum speed, and the maximum slow down too, I guess the most sensations as a water slide. The straight line is, as said, the most boring of the 3.
But wouldn't you need people of the same general weight (>5kg difference) for the acceleration to balance the distance out like the discs in the video?
no. light does not obey his law. his law defines characteristics of light. laws can be changed, but forces of nature are constant. of he changes his law to say " light slows down at red lights and does not like cheese", light does not obey. his law just becomes an unproven theory and Einstein beats him up for his lunch money on the playground. lol
My college teacher in Partial Differential Equations literally has this exact video lying around among the course material for that course, lol. He even shows several minutes of it in one of his lecture videos.
21:00 Simply seeing 3 objects at different starting points reaching the exact same conclusion with the exact amount of time blows my mind. I’m sure this proves something such as time moving toward a singular conclusion no matter what, or our own actions appearing to be free will despite the illusion. The most amazing truths of the universe are the simplest of rules; the red-light/green-light of rules makes profound conclusions when gazed through the correct lens.
vsauce: today we are going to talk about the brachinstochrone.
vsauce about 2 minutes later: and 7.5 billion people wouldn't even fill up the grand canyon.
😂
or will they...?
Try thirty-seconds 😂
one minute later: What is roll?
BUT WOULD take Only 0.5% of the population to ENCIRCLE the EARTH Bro !! (less than 40 MILLION so Any larger Nation could do it Alone ) :)))
Seeing Michael on the square wheeled tricycle brought great joy to me
nice
It brang great joy, to all if us Stooch
CheezzyNugget brought*
Lol also it was a quadwheeler
Same
Vsauce as a toddler: O... O...
Vsauce’s mom: He’s saying his first words...
Vsauce: Or am I?
dunnnnn
I settled the 100-st like!
*Background theme intensifies*
This should be pinned
751 comment like
0:41 It was an absolute pleasure to be featured in one of your videos, Michael! Thanks for showing me in the video.
took me a while 🤣
He didn't get permission to put me in the video :(
I'm at the top!
Yay!
@@WilliamJump-x6v I am a bottom. So that works for me iykwik 😏
Sorry, but you're about 1/2 way up in the center.
“Do you have a polygon around here?” Is the most Vsauce this I’ve ever heard
@welshmunn I think mine is a triangle because you can do basically anything with it, including building another one of my favorite polygons, the hexagon ;v;
@@JetFalcon710hexagons are the bestagons
@@JetFalcon710
from triangles, you can build a hexagon and another larger triangle
from a square, you can build another larger square
also Wallace - Bolyai - Gerwien Theorem states that every polygon can be break down into pieces and reassembled into another polygon with the same area
this?
@@JetFalcon710 the hexagon is the bestagon
The speed at which Adam figures out how he wants to build shit, is amazing.
Iknowrite
Yeah him and Archimedes would have been homies.
They probably had stuff planned out.
@@MrTacoToy very likely
This video isn't in real time. I have no doubt that there was a decent amount of time that it took to figure out how to build the curve. They probably had some curves that failed and they improved upon them to get the ending results.
Michael and Adam working together is the perfect example of "the scientist comes up with an idea and the engineer makes it work"
Exactly. They go together perfectly
@@ActionJackson669 sister enterprises indeed
But Michaels degree is in English lol
@@imetzl9340 e
@@imetzl9340 that's not how the word "scientist"works
6:13
I'm studying physics for university entrance exams, and I casually re watched this video only remembering the brachistocrone curve, and when I saw that I just realized that this is Snell's law right before he said it
I'm f*king proud of myself right now
SAME!!!
@@ananttiwari1337same
same
Not the same for me :(
You know a video is good when it gets 2.5 million views with a title "The Brachistochrone" and a curve as a thumbnail #NoClickbait
+
"VSauce" as the channel is enough "Clickbait" for me to make me click it :D But he earned it. He doesn't need any title or thumbnail at all(literally, theres a video of him without both, 4m views or so :D)
that's because vsauce is amazing
He used a picture of what the title describes. That's not clickbait to me
that was the point this commenter was making :)
How I learn english:
2% school
40% music
230% Vsauce
How I learn math:
I don't learn it
iKeyvier accurate
wish you'd learn math the same way
khanacademy . org/math
10% luck
20% skill.
Khan Academy teaches all the fundamentals of math in a very comprehensive way. You can totally self teach yourself math using that website.
Vsauce: Do you have a favorite polygon?
CGP Grey: Hexagons are the bestagons.
Ah, I see you are a man of culture as well.
@Aurelia thats ok, but it should have been written this way:
"I hate the bestagons"
"and now that you are a member of the cult."
Ectagons are better because they are a Danganronpa meme,but don't tell Hagime
@@darthjarjarbinkstherealsit6832 The cult grows
Michael: “Adam and I are going on tour; we hope to see you there”
Me: *super excited*
Also me: *realises I’m 5 years too late*
Bro me too 😭
“Or are you” theme song starts playing.”what is time”
@@thewatcher7294 *starts introducing another paradox for you to think about before you go to sleep for the rest of your life*
I went to Brain Candy in 2017. The main focus of the show was air. Just 8th grade level air science. There was a few segues of Michael voguing to non-copyrighted house music which was unarguably the best part of the show. Worth the $25 but pretty disorienting. Had to go to the bathroom halfway through to make sure I wasn’t having an LSD flashback.
Man..this is a crazy comment sad and true
vsauce: *deep question*
music: twaaaanhg
boo doop doo
hugh LOL
hugh Ikr
+Ethan Crowe i think 1:34
LOL
23:38 Not creepy at all, Michael, you handsome little man.
When the smart kid and the creative kid in class get chosen to do a project together
Which is which?
@@NoSubsWithContent Michael is the smart one and Adam the creative one (seemed pretty obvious to me).
Luuk Hagoort so you are saying Adam is not smart?
@@ace-x6m I didn't write the original comment, i was just explaining it
@@ace-x6m Stop tryna shame him.
So many exciting things coming from this channel lately
maxmoefoePokemon yo what up boy
papi
maxmoefoePokemon you want some spit facts?
maxmoefoePokemon what r u doin here?
Been loving your vids before maxmoefoePokemon didn't exist:))
At 23:39 Michael isn't watching the experiment, but rather he's staring at us🙂
You don’t say
Just noticed it.
lol, that's totally true
Exactly
It definitely looks like that, but what he is really doing is staring down the finish line so he can make his best judgment of which piece hit the end first.
23:45 I love Michael having the idea to just stare at the camera instead of looking at his dream come true
Yep haha
He was hearing his dream come true. The ears can pick up smaller discrepancies in time than our eyes can.
Also it may be he is smelling it with hearing.
He was looking into our souls…
It's obviously because straight line isn't the shortest time to reach the end point. He was looking exactly the way so that the light from his dream coming true reached his eyes in the shortest time possible.
"Do you have a favorite polygon" is the nerdiest thing ever said on this planet and I love it
Personally I like apeirogons
Triangles are the coolest. Don't @ me.
Hexagon
Triangles for da win
27 or is it
@@nuigmep3766 Clever how you didn't reply, so technically you didn't @ them
9:05 is so wholesome
“I got some protractors there”
“Oh oooh”
“You’ve got a compass extension”
“I’ve got all sorts of things”
“I feel so guilty this is a dream of mine come true”
wholesome 100 big chungus reddit moment keanu reeves
my name isnt emma edit: thanks for the gold kind stranger
@@mynameisntemma167 A bit out of the loop, is this meant to be making fun of Reddit- or laughing with it?
@@jazzling making fun of haha. redditors are fine they're just easy to make fun of and im not creative so
when science gets frisky
This is fun. I recall studying cycloids in college, and proving they were fastest with calculus. We also performed experiments in physics lab where we used gravity's acceleration to observe them. We even ventured into the topic of rotational inertia.
"in theory, theory and practice are the same thing but in practice..." Is one of the best quotes I've ever heard
A classic quote is "The difference between theory and practice is greater in practice than in theory"
@@shaiar286 this is theory too! but how is it in practice?!
@@davitjanashia9344 Greater.
boredjosh in practice or in theory
@@davitjanashia9344 Man you talking about practice?? not.. not a game, not a game, but practice..
Adam: “I’ve got some protractors here.”
Michael: “oooo”
Me: "ooooooooooooooooooooooooooooooooooooooooooooooooooooo0oooooooo"
9:05
@@pineapplepanda8444 that '0' made me laugh
@@velcro3105 glad to hear it :P
@@pineapplepanda8444 :P
"If every single one of us held hands in a chain of unity around earth." A lot of us would drown.
Couldn’t we just stand on boats?
Not if we had gainz
@:awesome: 🌺🌻 lmao
Yes yes knowledge good good for brain health
That's what came to my mind when he said that.
Michael is like the adult that would rather be in the "children" group then sit at the table with the parents at family gatherings
By trivia, you're so true with your... hands?
@@bagelnine9what?
@@Vize_David0404 I don't remeber what I meant either.
@@bagelnine9 haha okay
@MikeJhon what?
23:39 Please don't look at me like that Michael.
bro wtf i love your eft videos what are you doing here lol
I know right, it's so creepy lol, but it's funny coming from him
Creepy
0_0
Today is a weird day, love from Canada keep up the good work.
Vsauce wedding:
Do you, Vsauce, Michael Here, take this woman to be your lawfully wedded wife?
"I do."
"Or do I?"
[Music plays]
*mysterious raising of the eyebrow*
Dara MagUiginn lmaooooo true
'Wife, when we kiss, we are not actually kissing'
Dara MagUiginn "DAMN IT MICHAEL, NOT AGAIN!"
JoeyAnimations "It seems as if we were making contact with each other, but that's just our electrons reacting to each other at a distance"
Michael: Whats your favorite polygon
Adam: *laughs hysterically*
@sirBabamalot Adam : laughs hysterricaly is my favorite polygon
Micheal: whats your favorite polygon
Adam: *Laughs demonicly*
I won’t like this comment because it currently has 666 likes and I must please Satan
Edit: now I can like it because it's on 672 likes
"...I celebrate the entire catalog of ploygons"
How did Adam manage to bald so gracefully. Also when 2 exceptional people get together it's always a treat
Police: you're under arrest!
Vsauce: or am I?
Police: *in the middle of a paradox*
(Music at 1:36 plays)
ruclips.net/video/opFiJX24efw/видео.html
Police: I guess not
**spits fact*
0:40
I'm in this picture and i don't like it
Or are you?
No Freespeech insert the vsauce music
Let’s start by making the Grand Canyon a bathtub. Now how big would the pile of humans now be?
No way I, in there too
David Eikeland same
23:39
Most people: watching the three spheres fall
Me: focusing on Michael staring in the background
anyone knows what song is playing there??
Why is he staring directly at the camera? Is that on purpose or what?
Samo Benko look at the info box there are to links for the music used, maybe u can find it
@@panzerkampfwagenviiimaus9798 because he's fun :D
People should skip directly here if they want the short version of this video. :-D
The Brachistochrone is a Vsauce classic
23:38 I love how Michael stares into our souls in the slow mo
Lol ikr
😂😂
Or is he?
Scary
I was looking for this comment, lol!!!!!!!!! 😆😆😆😆😆😆😆😆😆😆 What the heck is happening there!!!
Michael stares into our eyes because it's the fastest way into our souls ; a brachistochrone
Brachistarechrone
@@capriottimultimedia fuck off that was so bad
@@bolotniy bruh chill out bitch
@Ronaldo Robertson • 9 i really dislike puns, maybe i went a little bit over top
@@capriottimultimedia Amazing
That class activity where the two nerds are paired and intelligence is overflowing and they become louder than the rest of the class.
the whole time they’re together it’s giving such adhd nerd energy just like me and one of my classmates used to do in maths and science classes
How many just saw the veritasium video and thought " THAT'S THE BRACHISTOCHRONE" and came running here
Video title: *How Do We See?*
Intro: *Hey, Vsauce! Michael here! I am in a video. Or am I?*
*15 minutes later*
Vsauce: *And that is why cereal is soup.*
Or is it?
But not soup soup
Micheal is the master of mental gymnastics
* Teleports to the back *
MW SN .haihoailinh
“Let’s talk about circles today”
Me preparing to throw everything I learned in preschool about circles out the window
Me: "Hey Michael you wanna roll outta here for a bit and grab food?"
Michael: "Sure but what is... rolling.
*side tangent for 20 minutes*"
Me: "Michael, please, not now."
Michael: "'Now', 'now' is...everywhere. And everytime."
Me: "Why are we friends?"
Jo The Joker what are... friend. *Music starts*
They see me rollin', they hatin', but what is... hatin'?
Eric Cartman but what is a tangent?
He takes weeks or months to write his content.
So does this mean that the Brachistochrone curve is the most difficult to run UP?
You have gravity to help you on the way down, but that’s all I got. Good question, man
idk man, a wall is pretty hard to run up
@@cyrus7972 stop💀
Not for the Ninja Warrior people
@@cyrus7972 even harder is running up the bottom of a ramp. an angled ramp that points towards you
23:39 Michael's deadly stare at the camera.
You mean sexy
DEAD sexy
that stare he gives you when he like what you got
UNDEAD sexy
lol
Adam's just as excited for them all lining up as he was for when some kid mailed mythbusters saying his mom had a spare van to blow up.
I love it.
Michael: *statement everyone knows to be true*
Michael: *questions statement in an ambiguous format*
*vsauce music plays*
The comment format which u have is how i write my essays in an exam😂😂😂
Michael staring into my soul during the second slowmo felt like I was being judged for existing.
Love how Michael is just staring at the camera and not paying attention to the experiment at 23:39
LOL YEAH
Or is he?
But did you see that creepy stare a 10:43?
Typical Michael Stevens
Its pretty funny
Adam is so impressive
Michael explained his thing and he immediately knew what to do, he started planning and building, and what do you know, it worked
Yeah because this wasn't rehearsed or thought out at all.....
you are one of many people on youtube who think videos arent planned, choreographed, editted and THEN posted.
you really think this dude walked up to adam without planning and went: he.... lets build something and record it.
@@86niisan8686 it would be kinda weird to plan a video after you alrdy posted it on youtube
@@doodoo2065 think of your comment again
@@heyfrank1 99%
Vsauce: When you do this to a shape and follow the line it's a
Me: Brachistochrone?
Vsauce: Roulette. When you do THIS though, and then you follow the line it's a
Me: Brachistochrone?
Vsauce: Cycloid. Ah but now I want you to build THIS, and then follow the line, then it's a
Me: Brachistochrone?
Vsauce: Cyclogon. When you get from one point to another as quickly as possible, then it's a
Me: Cyclo-something?
Vsauce: Brachistochrone
Shivum Sharma 😂😂
Heavily Accurate
You got trolled.
Shivum Sharma i fucking died reading this omfg😂😂😂
I finished reading this comment at about twelve and a half minutes in the vid when Michael yells "Brachistochrone!"
8:28 and he said- (insert ad)
How’d you know
Yep
This explains that the algorithm works for all people the same manner
Matrix attack😂
1:34 the "intellectual shit is about to go down music"
Michael Jordan yes 😂
Best music
Michael Jordan Its not a Vsauce video without it
Michael Jordan - lmaoooo that's what I thought
Michael Jordan lmao
Michael staring at the camera in slowmo kills me 😂
yup
Titan Of Titans me too
Titan Of Titans Yeah, hahaha
I noticed that too :)
Titan Of Titans hahahahahaha
teacher: what is the fastest to route to point A to point B
everyone: a straight line
Michel: a brachistochrone
Ok children, so in the 100 meter dash, everyone goes straight line and Mr. smartpants will run on brachistochrone.
@@neplatnyudaj110 alright, everybody is running on thick mud going from very muddy to less muddy
Moving point A to point B
@@neplatnyudaj110 L O G R O L L
@@neplatnyudaj110 Mr. Smartypants knows how to quickly dig tartan with his bare feet...
saw this video 7 years ago when i was finishing middle school, right now im on my way to fisnishing a major in physics and im still amazed and wont stop thinking about this problem and the genius of johann bernoulli
So the perfect waterslide would also be a brachistochrome.
monkeyslaye you are a genius
monkeyslaye
Imagine having 3 water slides beside each other being all the slopes in this video and it's made for people to have races on
But the smartest person will alway win
Well, since everyone was a different weight the results might vary, so the brachistochrome slide wouldn't always win
and playground slides.... we are doing those wrong since ever!
Well, it could also be considered a bad slide since it's over so fast. Just depends on what you want in a slide
Him what’s the fastest way to slide?
My brain: Boat on blue ice
A man of culture I see
a brachistochrone made of blue ice
WHERES THE LAAMB SAAAUUUUCEEEE
Lol
He will find you one day
Just imagine Michael being your maths teacher
Soratar M. 2 classes a year and at the end of the course you know everything but maths.
PLEASE
YES LORD
Soratar M. And adam as any kind of teacher.
Soratar M. Just imagine Michael as a capricious God, willing to prove all these measures.
I find myself coming back to this video. I love how it starts out with Michael completely in charge, introducing the topic, then you can see the wheels start to turn in Adam's head, he figures it out, and then he takes over. And then Michael takes control back over to take things to the next level.
Their skills compliment each other so well
Police: “You’re under arrest!”
Vsauce: *Pulls out unicycle* “You know, cough drops make you cough more”
Kamaine Gamer do they? Or am I a helpless case of r/whoooosh?
Sebas1509 🤣😂😂😂🤣
Kamaine Gamer I assume the latter
Shit i wish i still had reddit
@@river1403 *Or are you?*
"mathematician have complicated minds, solving complicated problems"
Actual mathematicians: *Argued on what's the fastest way to get the ball in the street while standing at the mud*
It sounds easy but isnt
Real mathematician problem: "how many pepperonis on the pizza is too many?"
I say it's 42. Prove me wrong.
@@jeffborders5526 no
How many hours of binge watching is enough
Spoiler alert, even infinite isnt enough
@@jeffborders5526 I think someone here knows where his towel is
I know it's a pretty old video, but this is definitely one of my favourite things you've ever done, because of how it takes a mathematical proof and makes it real so even people who don't understand the math can look at it and get that it's true.
I've rewatched this 4-5 times and will never get tired of it. lol
You might say, brain candy videos like this, is a Tautochrone in that it brings mathematically-inclined people and those who are less-so together in something they can get and enjoy.
that's the point of most educational videos on youtube
SAMEE
Imagine saying that 75 years from now. 😄
Its actually one of his newer videos. He used to upload alot more often.
Same
Okay guys, I just wanna throw this out there, this is my understading of the video.
I will just try to go in order of the points discussed in this video.
The center of a disc produces a roulette that's just a smooth straight line while rolling on one, but as you can see in the video a rolling disc (let's call it a circle) draws a straight line in the horizontal dimension, but only one point on the circunference of a of the circle contacts that straight line at a that exact coordinates, because the center of the sphere always points to a singular and unique point on the circumference if pointed in a single direction (radius), and the "place" of that radius is always being changed is a single straight direction (in this case to the right), by rolling.
We can observe this 2 dimensional graph because we live in the 3 dimentional world, but the perception of the point on the circumference is that it is not moving what so ever compared to the center of the sphere, to him, the center of the sphere is always a fixed distance, and he is always on the same coordinates of the 1 dimensional circumference.
Now just replace the circle with a sphere and the straight line with time. The path time draws is always attributed to a single point of the sphere, there is always only one istant in time and it is always moving forward (rolling), we perceive this because we can perceive that the point on the circumference is following a straight line in the 2 dimensional world, but to itself it is described by a single coordinate, (a 2d object on a graph is x=1 y=2 but a 1d object is just x=1, it describes itself), but we know that that a 1d object can follow a straght line if it's described by a 2nd coordinate in the second dimension. So even though we see the distance getting larger between two points, for the 1d object the points are always the same, so if x=1 and y=2, we get a geometrical straight line from any other point with x = 1 and y != 2, but the perception of a 1d object isn't changed, it is still only 1, is still the same "thing", it has not become 1 and 2 together.
So we can fixate two separate and distinct points in the 2d world, that are the absolute same in the 1d world. So if we say that these points are the same point, from our percpective of the 2d world, the statement if false, but from the perspective of the 1d world this statement is true.
Knowing this, we who live in the 3 dimensional world, perceive that even though a single point is the same for us, it is never the same for the 4 dimensional world, and so we perceive...time.
A 2d object doesn't experience the passage of time, because it cannot observe things changing, it can only observe the 1 dimensional world, which is always the same, it is never chaning, it is the same thing, it is always the same coordinate x=1. But it can perceive the 3d world like we perceive time, because by chaning the value of coordinates you get different points.
And this is why discs (circles) are such good wheels, it always follows the shortest path from 2 single points on a road, being the road 1 dimensional, it doesn't matter where the road goes ( we only know where it goes because we describe it in 2d, otherwise it would always be the same road and lead to the same place), but only a single point of the wheel is touching the road at a time, unlike a poligon, who will always have 2 (imagine a square wheel and it's two vertexes), more ditance between the points = more time; but if you make the numbers of vertexes infinite, the distance bewtween them becomes infinimetly small, approaching 0, so on a circle it is 0, zero time, the best time, the best wheel.
So if we draw a sphere on a 2d graph and a cube on the 2 graph, in which the x axises is time, the shortest amount of time (length of the lineitself if you measure it) is always a straight line, which is only drawn by a perfect circle that is tangent to the X axis, only a single point whill ever be adjacent to it at a time, which makes a square wheel work only if you bend the 2d world (side note after reading my whole comment: we are assuming here that these 2d objects have 0 mass, and and objects with 0 mass can only move trough the axis if it is tangent to it because it enables it to roll; a square in this example will never move because you need mass to generate force and you need force to slide it on the axis, actually rolling it would require an upward motion as well, but that would require the axis itself to bend, to not be straight), and we can do that, because we can observe it, we just draw a curved line, that is longer. We can recreate this 1d road in our 3d world by bending it's 2nd dimension, creating the road at 2:22, in which the square is tangent to the road, only a single point is touching it at a time. This is not true for a prolate because it goes in the negative "mass", two points of the line connect to a single point in time, which is for us, impossible. We cannot build a road for a prolate wheel, because we cannot bend the 2d space (in this case time) to accomodate the fact that point is always tangent, we would have to remove the space where the point is travelling on the road, but we cannot "remove" space, negative space -> negative mass -> impossible. So really x = time and Y = mass. In the same way, a curtate is also impossible because it does not even touch the time axis.
But what happens when mass = 0? Light. Light is the perfect wheel of our 3d world. Light will always travel the shortest distance. A straight line. Light is always tangent to the dimension of time, making the two points the same, so the distance between the points is none, and since speed is the distance / time ( 0/0 ), the speed is impossible, there is no speed, it is the speed limit, making it impossible to achieve the speed of light ( it is the only thing with 0 mass ), or go beyond it by the means of removing the space we need to travel (negative mass).
Further on, we cannot bend our 4th dimension, time, we cannot create the conditions for two points in time (the 2 vertexes of a square) to connected the same thing at the same time. In order to do that we would need to "bend", accomodate for this by problem by bending the 3rd dimenion, a thing that we cannot do because we do not actively observe it, we see in 2d, a picture at a time.
Now a cyclode is what happens when instead of focusing on the point touching the time axis which is ever changing, we focus on a single point that is moving; we draw a cyclode.
Again this wouldn't be possible with a poligon because there would always be a side of the poligon that has two tangent points at one time, creating a parallel to time (parallel times).
Now in this amazing video, Adam and Micheal built a 3d version of the cyclode by doing the reverse of what we did in order to build it, by attaching the pencil on the disc they drew the tangent path of the disc (which was in fact rotating for it to happen) on a 2d plane, and later projected that tangent in which time is always costant ( X axsis), so theoretically speaking, it doesn't matter from which point in space the balls starts from, because this "shape" of the road in our 3d world makes it so that they reach the end of this road at the same time, because the tanget touches time on Y = 0 whichever the point in space is , in fact the shot from the side (2d view) they made later on, shows the balls merging into one, they become the same thing, they overlap each other.
Light is just that, it has 0 mass, it is the same thing everywhere, is has the same constant speed, and is for us, the costant of universe, because on the graph it is just a straight line, it is the axis itself.
But an object living in a dimension higher that us, would perceive and observe the dimension we call time, and it would be able to bend it like we bend the 2d one, unlike the 4th dimension which it cannot bend, because it does not observe it, like us with time. That is why we cannot even imagine what a being living in a dimension higher than us would see like, because a 1d object only knows itself, a point, a 2d object can see every point in a straight line, while we perceive the plane (like looking at a graph from above, perpendicular, like you look at it on your screen right now), and an object in a dimension higher would perceive all of this, plus it's version of our "plane". This is why, in intersellar for example, it is shown as every point in space in every point in time, like we see every point of the line on the graph where the X axis is time, making you able to basically "travel in time", because you have access to that dimension, like we have access to the line on a graph.
Anyway, I spent two hours on this, I'm way too high.
I appreciate the effort you put into this lol
take my recognition
Wow ur AWESOME.
1:33 Michael: "But what is rolling?"
Music: "Op, that's my cue."
You’re from Michigan, or you’re an imposter.
he lost his mind after isolation
Shrikant Naik Who?
Another wanderer on the internet vsauce, if you watch episode 1 of mind field (it's free) micheal puts himself in isolation and becomes crazy
lol
how so?
25:33 PTSD
Vsauce: That's not just a circle
Me: no...
Sauce:That's a cirCOOL
Me:NOOOOOOOOOOOOO
HAHAAHHAHAA
Vsauce: That´s not just a circle
Me: plz stop it
Vsauce: that´s a cirCOOL
Me: dislike
anders burcha
anders burchardt "That's not just a circle..."
"wha-"
"That's a cirCOOL."
"STOP! FUCKING STOP!
Anakin Skywalker that shit.
Michael: Do you have a favorite polygon?
CGP Grey violently enters the chat
Superb explaination. Brachistochrone can be my next password.
duly noted
Patrick Burns With caps and special chars and numbers and mirror chars too.... With all that U will need a Titan to break into my accounts...
Noted
Sunny Shukla smart, nobody will ever guess that one lol
Heres a hint to all my passwords: they all have at least one character. Too easy? Lol
Smart kid: the quickest way to get to an object is a straight line
Quiet kid:
"or is it?"
False. The quiet kid must do the pillar men reveal before explaining in full detail as to why the Barista Chrome is better than Virgin Straight line.
@@ruller8901 pillar men...you mean *THAT* pillar men ?!?!?!?!
Although there has to be a constant external acceleration aswell incase you were talking about walking or running towards a destination. 19:08.
@@icecream6256 ay aye aye aye aye
I love how Michael just stares into the slow motion camera xD
josh11735 I was wondering if anyone else noticed
Unauthorized Genocide Noticed it!
Unauthorized Genocide I was watching the video. So I noticed
Right? I just laughed so hard. His reactionless face was like (nothing here to see, its just law of physics, its cool its just basic stuff) lol
That stare at 23.39 is like, "look, kids - this how science is done. YOLO."
Vsauce is the only youtuber who can completely switch the subject in a matter of moments and still have it make complete sense.
In a brachistochrone race, everyone is a winner.
Chris Vise that means its *OUR* brachistochrone race *COMRADE*
It’s a win-win race for sure
Oldman EstimanJr. *Que USSR national anthem
In a progressive brachistochrone race test, everyone wins because everyone is special
but in a brachistochrone race war, no one is ...
if we made a line if people around the planet, a lot of people would drown
Neil deGrasse Tyson?
Armoured Skeptic well apparently they would actually all suffocate in space
if people?
Not if they wore life jackets. ;)
fancy seeing you here
You know shit's about to go down when the music starts playing.
Toast Apprentice Fuck you because that is legit what I was about to type. Obviously Im kidding so pls no flame.
:D
Toast Apprentice LOL MAN YOU ARE DAMN RIGHT
Toast Apprentice Shut up u generic shit
+MatrixWolf That's great. You're great. The 142 people that like this comment are great!
@8:28 when Michael said "and he said...." RUclips showed me an ad starting with "I don't have enough money" 😂😂😂😂. I'm dying 😂😂😂
What! I got an ad too! But it only said "Delicious snacks are always welcome"
@@emilelesaffre they are recommended ads and sometimes their time and place can be hilarious
Pretty sure you can place where the ads are in the editor if you are monetized.
Michael did a little trolling!
@@BromeoWuggles yeah so he can choose where the ad is but not what the ad is
Mine said "you've been lied to"
23:41 why is Michael staring into our souls?
Why isn’t he?
brAINDEADRETARD69 what a profile and name
Or is he?
It's like funny as hell hahaha :D
@brAINDEADRETARD69 ...”sorry, i was aggressively masturbating.”
Glad to see the white room didn't fuck you up too much Michel
breden ritter probably recorded before the white room
yeah i was a bit scared of that white room permanently fucking Michael to a noticable degree
GameSupport Probably recorded after the white room, I think that the white room have to have a whole series recorded after it and that series is complete now I believe. Conclusion: the white room could be easily recorded like 3 months ago.
Yes
breden ritter they mentioned Christmas so I guess it was recorded around then
Well, he’s done it. Vsauce has officially made a 20+ minute video on rolling circles
MangoTube, with 6 mil views......
You mean rolling circools?
vsauce casually having a playdate
Vsauce::
Good morning....but at what cost?
youtube red at the cost of subs
I finally changed my goddamn name Limmy's show?
No
the quizacciousness is strong
Magic_Micah good question
Michael : "Say this is a square"
Square: Is a square
4:00
Or is it?
@@maxwikman1709 well played my friend
Omg ur so ignorantttt. It’s very possible that the four sides are not exactly equal in lenght, and that the angle of all four corners does not measure exactly 100 gradians. If it is not a square then it would not give the correct results in his demonstration. However the humans visual system is not accurate to the level of this imperfection and thus, michael can use it for his demonstration as a rough version of a square. Check your privileges before you say something this insulting again
@@HGraabæk thank you Sucrose Boy, I'll be sure this won't happen again, goodbye
@@marcosvenegas1179 im sure that you will be able to find forgiveness both with michael, and the gods of polygons. May peace be with you
But what if you traced a point on the circle's circumference while it was traveling on a Brachistochrone?
On All Twos That is known, as a brochippopotomonstrosesquipedaliophobia
Hamza Aman Why ia it a phobia?
Violeta Zaķe Hippopotomonstrosesquippedaliophobia is the name for the fear of long words
Jace Salinas He was asking for a circles point while it was traveling on a Brachiwtochrome, not the fear of long words
He combined the word for the fear of big words and brachistochrone to make that word, which is why it's a phobia
FUN FACT: The brachistochrone curve also works in reverse too! To reach orbit rockets must follow the fastest path to space before their fuel runs out.
Rockets launch vertically to get above the atmosphere but then pitch down to fly horizontally above the earth’s surface. How do they know when to start pitching and at what rate? The Brachistochrone! 🚀
great..can you link any video related to it
and it impresses me that how maths formulas are greatly beneficial and applied in a larger way and it works as we think in perfection!
people like adam savage who can make almost anything from scratch amaze me
avox. yeah...
avox. too bad he's a liberal
avox. and with such a simple design, I don't think it could be made any simpler.
pmm4177 Autism is an Epidemic
pmm4177 Lol political idealogues were across the board with intelligent inventors and engineers. Don't let cloud you
10:57 I used the circle to make the circle
Perfectly balanced just like everything should be
It is inevitable
1:34 When the music stars you know shit is getting real...
I know it is. I`ve been watching Michaels videos for a while now.
Hey everyone! I'm doing a special event where I will be subscribing to the first 50 people who subscribe to me! I'm watching the list but also comment and let me know! Come get your free subscriber :D
it is always when he is asking a question the music starts =)
I guess the music is a star now.
Its amazing to me how he takes the idea of a ring of 7.5 billion people into a wild theory in only 30 minutes
People forget that Michael's first channel was called "Pooplicker888". What a hero
glonik10 best name
HAHA whatthefk so cool
glonik10 he is my hero 😍😍😍
On the Key of Awesome channel he worked as the Bearded Nun
almost every time someone writes my first name they spell it like that
13:42 The way Adam moves = the way I love when working on a passion project
I thought I was the only one that just really enjoyed the way he ran offscreen to show Micheal his idea
“Let’s talk about circles!”
Is the last thing I would want to hear from my Uber driver
you mean you wouldn't want Michael to be your uber driver?
I'm your Uber driver
Or am i
That side-eye from Michael during the slow-mo scene is hilarious.
18:04 is the timestamp of the scene.
Not even close to being accurate, Myself and at least 10 people I know did not attend this grand canyon pile up photo op
Ey I was not there too, I think this guy is lying huh...
@@henritaas9997 you guys didn’t get the invite??? I thought they sent it out to everyone thru mail
I have no limbs, torso, neck and head. So there is no way I was there
@@Red-fv4bi are you anywhere
@@henritaas9997 23:39
Adam kinda looks like Adam from Mythbusters.
Commander Shepard Yeah, he is.
Commander Shepard You are a true genius aswell as being a hero.
And the other guy looks like Michael from dong
Commander Shepard you must be new to RUclips
Sipezinga because he is
This Brachistochrone should be a water slide
this would be awesome 3 of them all the same curve but from different starting points like in the video oh this is a good idea
Actually at Blue Bayou in Louisiana, they have a water slide that is shaped like the curve. It's wild that I realized that after years of going there. It has three rows with sleds that you sit on, and it's curved to allow you to skid across a shallow pool. Really cool stuff!
It is the one you get the most speed in average. The extreme curve would give you the maximum speed, and the maximum slow down too, I guess the most sensations as a water slide. The straight line is, as said, the most boring of the 3.
But wouldn't you need people of the same general weight (>5kg difference) for the acceleration to balance the distance out like the discs in the video?
Rob Dapedo acceleration is independent of weight. Although size would matter because of differences in friction
These videos are legit timeless
"But what is...... rolling?" *music starts*
ROLLING ROLLING ROLLING
and than suddenly Undertaker appears
rick
Raw hiiidddee
YaBoyJames
yo listed up
here's the story
about a little guy that lives in a gay world
Man I wish I had a law named after me, cuz some guy named Snell has LIGHT obeying his law. Who else can say light always obeys their law?
Get smart then
MuffMuncher69blazeIt you can't just "get smart"
no. light does not obey his law. his law defines characteristics of light.
laws can be changed, but forces of nature are constant. of he changes his law to say " light slows down at red lights and does not like cheese", light does not obey. his law just becomes an unproven theory and Einstein beats him up for his lunch money on the playground. lol
D3X | Editor once we master genetic engineering you can... maybe.
Thanks for explaining the joke.
Dude, my high school teacher would be so pissed if he saw you guys not wearing protective glasses.
My college teacher in Partial Differential Equations literally has this exact video lying around among the course material for that course, lol.
He even shows several minutes of it in one of his lecture videos.
brachistochrone
YESSSSS
Oh man this is so fascinating and creative, but at the same time Vsauce videos are beginning to feel nostalgic. Really good stuff :)
Oh derp it's probably because of Adam Savage the nostalgia lol.
Squidward: "How did you draw a perfect circle???"
SpongeBob:
It’s *sniff* PERFECT!
This is a golden comment right here
blackguyjustchilling indeed
if everyone on earth held hands around the earth, a Significant amount of them would drown
I thought they'd actually be in space? So they'd all suffocate then...
Josiah Jackson fair point
They'd also look hella gay
Josiah Jackson I was thinking about that. Lmao
78.7 percent of them, at least.
21:00 Simply seeing 3 objects at different starting points reaching the exact same conclusion with the exact amount of time blows my mind. I’m sure this proves something such as time moving toward a singular conclusion no matter what, or our own actions appearing to be free will despite the illusion. The most amazing truths of the universe are the simplest of rules; the red-light/green-light of rules makes profound conclusions when gazed through the correct lens.