The Brachistochrone
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- čas přidán 20. 01. 2017
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Links to sources and to learn more below!
MY TWITTER: / tweetsauce
MY INSTAGRAM: / electricpants
THE CURIOSITY BOX: www.curiositybox.com/
Stan Wagon “Roads and Wheels” [PDF]: web.mst.edu/~lmhall/Personal/R...
3Blue1Brown video, “The Brachistochrone, with Steven Strogatz”: • The Brachistochrone, w...
Pile of people visualization originally from this Vsauce1 video: • How Many Things Are Th...
Online spirograph: nathanfriend.io/inspirograph/
The Brachistochrone whistleralley.com/brachistochr...
Rolling:
www.animations.physics.unsw.ed...
teacher.pas.rochester.edu/phy1...
Refraction of light:
www.physicsclassroom.com/class...
www.funscience.in/study-zone/P...
www.walter-fendt.de/html5/phen...
micro.magnet.fsu.edu/primer/ja...
astro.unl.edu/classaction/anim...
demonstrations.wolfram.com/Fer...
Feynman on The Principle of Least Time: www.feynmanlectures.caltech.ed...
cycloid as answer to brachistochrone: sinews.siam.org/About-the-Aut...
Music from:
/ jakechudnow
and
www.audionetwork.com
Roulette animations by Eric Langlay / ericlanglay
good relevant Wikipedia articles:
en.wikipedia.org/wiki/Brachis...
en.wikipedia.org/wiki/Tautoch...
goo.gl/SlRDhK
en.wikipedia.org/wiki/Cycloid
en.wikipedia.org/wiki/Snell's...
Wolfram demonstration projects used:
"Cycloid Curves" from the Wolfram Demonstrations Project
demonstrations.wolfram.com/Cyc...
Contributed by: Sean Madsen
Additional contributions by: David von Seggern (U. Nevada, Reno)
"Shaping a Road and Finding the Corresponding Wheel" from the Wolfram Demonstrations Project
demonstrations.wolfram.com/Sha...
Contributed by: Stan Wagon (Macalester College) - Zábava
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
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
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.
Don’t you know? If you develop echolocation, you can actually detect things 0.7% faster! Wowzas!
Also it may be he is smelling it with hearing.
He was looking into our souls…
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
@@therealfrank6393 99%
"If all of us held hand with each other across the earth, that would be super gay"
not if we alternated between men and women
Manuel Ferreira Not an equal amount of men and women. It would be same-sex holding hands eventually.
Manuel Ferreira Real men don't hold women's hands. That's really gay ;)
nathan basford No because there is more than enough people left over. I bet we could have the same gender all the way around no problem.
Wait. Shit. We forgot about trans, pans cisgender and everything in between guys. Run ._.
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.
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
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 🤣
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?
@@Sc0rch91 I didn't write the original comment, i was just explaining it
@@Sc0rch91 Stop tryna shame him.
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
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
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
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 :)
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*
@@fatitankeris6327 100th
This should be pinned
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.
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
@@bagelnine9lol this conversation take u a long time 😂 but well it's kinda "sympa"
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 ) :)))
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"
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
How did Adam manage to bald so gracefully. Also when 2 exceptional people get together it's always a treat
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
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
A brachistochrone and a cycloid lining up perfectly feels like it makes perfect sense, and yet like a complete coincidence.
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.
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.
"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 staring into my soul during the second slowmo felt like I was being judged for existing.
brachistochrone
YESSSSS
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
Police: you're under arrest!
Vsauce: or am I?
Police: *in the middle of a paradox*
(Music at 1:36 plays)
czcams.com/video/opFiJX24efw/video.html
Police: I guess not
**spits fact*
22:00 EXCUSE ME WHAT THE HELL IS THAT HOLLYWOOD MOVIE ANGLE LMAO
25:34 Michel is the best this is why I watch vsauce
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!"
“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
@8:28 when Michael said "and he said...." CZcams 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"
I also roll too
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
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.
Nani bullet dorifto!?
@15:08 - Michael, question for you. The epicycloid drawn has seven points where it touches the circle and the hypocycloid has six. If the tracing circle were smaller or bigger, would the epicycloid always touch the stationary circle one more cycle than the hypocycloid? (Thats if you have a size that perfectly cycles around)
Vsauce made me both the smartest guy in my school for knowing ridiculous things that no one my age ever thought about, and the dumbest by academic standards because I spent all of my time studying Brachistochrone curves rather than what was actually in my exam papers.
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.
oh so we need square wheels in Mexico City for all those fucking holes
JC4 lmao
JC4 hahaha I'm crying!!!
JC4 ???
HAH, thats good
A huevo.
23:14 Michael looks like a proud father seeing his son (Adam) doing his science project infront of him.
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
"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.
@@Pk2723 imma have to agree with you on that one
Hexagon
Triangles for da win
27 or is it
I'd like math only if Micheal was my teacher.
The Happy Cat Well you would only have class like once every two months lol
I mean, if you're here watching this, Michael IS your math teacher.
The Happy Cat I wouldn't. I feel itchy all over looking at that sweater. Not to mention I feel hot just looking at it. There are just a very, very tiny portion of men that can pull off a sweater and he is not one of them.
it is maths
Katie Kat stfu
3:25 was that a threat
One thing that I find interesting about brachistochrome experiments that’s never brought up is that if they tried the three-different-starting-points drop with the really deep curve they made earlier, the wheel at the highest point would hit the bottom first. The brachristochrome is truly neutral.
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
"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
hearing michael yell "BRACHISTOCHRONE!" is just the best thing ive heard all day.
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.
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.
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
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
I wish I had a math teacher like them in school. I’d have never hated math or be bad at it.
Watched 2 guys talking about a curve...For 26 mins
james Fra this is the difference between nerds and everyone else they talk of mathematical curves and everyone ( including me ) speak of female curves
great right XD
"I just want a curve.... that things roll down. "
And the curve they were talking about wasn't even a girls buttocks or breasts.
watched a professor talk about curves for something like... 12 hours
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.
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! 🚀
Vsauce is the only youtuber who can completely switch the subject in a matter of moments and still have it make complete sense.
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
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
ok 10:42
What about a ring of 8.0003B people?
In my years in a BS in astronomy, I never had Snell's Law explained to me in such understandable terms.
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
99.9% of people that have clicked this video...
Had no clue what they were going to see but clicked on this anyway. And then saw an octopus.
nah, i saw a circle
@@tthung8668 😵
Nah, i allready watched this in 2035
well actually, I expected to see an octopus, remember, this is vsauce we're watching
@@xavierc12343 same
Michael: Do you have a favorite polygon?
CGP Grey violently enters the chat
These videos are legit timeless
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
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 CZcams
Sipezinga because he is
I love how in the slow mo shots it looks like Michael is just staring down the camera
I love how frantically and excited Adam works.
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
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
Just don't use Brachstochrone or a variation of that (caps, special chars, numbers etc) as your password, now that you have made it millions of times easier and faster for people to break into any of your accounts if you did use it. It is a bad idea to give people even small hints about what your password is.
It took me less than a second realising that Adam is the man who keep appearing in mythbusters jr.
Adam getting just as excited as Micheal is amazing.
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
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!!!
I absolutely love how excited Adam gets about this idea
The sound of the knife on the acrylic made me physically recoil
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
"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...do you have a favorite polygon?" Is the most Vsauce thing I've ever heard, and it warms my heart ♡
Love watching them nerd out. We need more videos like this.
build a wall around earth and make vsauce pay for it
Around earth? Wut?
QuickBeat it's a Donald Trump joke
Build a Dyson sphere around the sun, and Michael's brain power can pay for it.
Jon Deal u pay for it
+Node Pony You should write a novel about that.
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
I would watch literally any number of videos about Micheal and Adam being nerds about stuff
I like how every slow motion shot has Michael just staring intently at the camera
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"
Can't look at this guy the same way after watching him and idubbz
Nicholas Z. Wait what???
Nicholas Z. Lol same
iduBBBz, three Bs.
KatlinGamerGirl V yep he was with edupz
*tries hoverboard
"oh, I-Ian"
If you made a ring of people holding hands, all across the equator, a majority would drown.
Stan Wagon's passion for roads and wheels is a good example of nominative determinism.
how am i the first person to like this comment. underrated af
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
You forgot about a Hemorrhoid but it's all good.
I hear that they're a pain in the ass.
W
R
I see what was done here . .
Best joke ever.
Was it the roid27?
This was like the time when I a nerd was paried with another nerd in a science contest and we immediately started doing maths to create the best curve ever
still relatable
The fun that these guys were having brought me such joy.
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
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.
Fred Flintstone slides down from the brachiosaurus in a brachistochrone.
“Say this is a square”
*is holding a square*