The Brachistochrone

2017 ж. 21 Қаң.
14 707 368 Рет қаралды

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Links to sources and to learn more below!

Stan Wagon “Roads and Wheels” [PDF]:

3Blue1Brown video, “The Brachistochrone, with Steven Strogatz”:

Pile of people visualization originally from this Vsauce1 video:

Online spirograph:

The Brachistochrone


Refraction of light:

Feynman on The Principle of Least Time: www.feynmanlectures.caltech.ed...

cycloid as answer to brachistochrone:

Music from:

Roulette animations by Eric Langlay

good relevant Wikipedia articles:'s...

Wolfram demonstration projects used:

"Cycloid Curves" from the Wolfram Demonstrations Project
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
Contributed by: Stan Wagon (Macalester College)

  • Fred Flintstone slides down from the brachiosaurus in a brachistochrone.

    David QuiroaDavid Quiroa7 сағат бұрын
  • isn’t the brachistochrome.. also.. a segment of a circle? just.. a different segment?

    ThatFamiIiarNightThatFamiIiarNight19 сағат бұрын
  • octupus

    jgygghbhjhfjgygghbhjhfКүн бұрын
  • 23:43 micheal looks like he is gonna torture the cameraman with his explaination, saying a sentence and saying or is it?

    In den Keller AGIn den Keller AG2 күн бұрын
  • CGP Gray at 1:45 "So you have chosen.... death"

    nono2 күн бұрын
  • 2:23 Vsauce on his way to deliver your monthly dose of existencial dread

    BoredsyBoredsy2 күн бұрын
  • Adam - So you have to make a cyc-cycloid. *Captions - psych psychlloyd* 11:12

    Mansha Jain DMansha Jain D3 күн бұрын
  • The intro i cant-🤣🤣🤣🤣🤣

    Styx StickbugStyx Stickbug3 күн бұрын
  • YoU can’t help but wonder if he answers phone calls saying “hey, vsauce Michael here”

    Croculus ShrekCroculus Shrek3 күн бұрын
  • Me after watching this video: I'm something of mathematician myself!!

    DhruvilDhruvil3 күн бұрын
  • 23:40 My souls is no longer secure. Thanks Vsauce

    Smelly BomboSmelly Bombo6 күн бұрын
  • Whoa 3blue1brown only had 115k back then.

    Brilliance of livesBrilliance of lives6 күн бұрын
  • In a way I think CGP Grey would have this video recommended to him, and like it.

    Nathan JacobsNathan Jacobs6 күн бұрын
  • if y'all ever go into calculus pls ref this video bestie out here just explained something with derivatives that i couldn't even get until now istg

    b rb r7 күн бұрын
  • I watched this while high and sleep deprived shit was crazy

    Shadow FistShadow Fist7 күн бұрын
  • 16:16 Looks like a radial engine

    RalphyRalphy7 күн бұрын
  • shout out to adam savage

    luca okinoluca okino7 күн бұрын
  • me: asks if aliens exist vsauce: what is rolling?

    NoxxspireNoxxspire7 күн бұрын
  • the brachistochrone is nice, i guess :/

    Nhu NguyenNhu Nguyen8 күн бұрын
  • Alternative Title: Yellow Hair

    buscookbuscook8 күн бұрын
  • I actually felt like i learned something from this

    Happy duckHappy duck9 күн бұрын
  • @23:39 😁

    Arif zafarArif zafar9 күн бұрын
  • ayo, I wondering how much the diameter of the circle is? I need it for my endproject

    gilles rouquartgilles rouquart9 күн бұрын
  • if you built a bridge around the line thing

    FrankieC420FrankieC42010 күн бұрын
  • Brachistochrone (Bruh key stow chrone) Commenting this so I can remember how to pronounce it

    ACE MesaACE Mesa10 күн бұрын
  • 9:07 micheal "ooh" at protractors cracked me up

    Roblox-origami and moreRoblox-origami and more10 күн бұрын
  • Nerdy dreams do come true

    Un UsuarioUn Usuario10 күн бұрын
  • 24:15 this was true before Einstein

    ShiviatrixShiviatrix10 күн бұрын
  • He got my like at 'circool'

    The Holy SoupThe Holy Soup11 күн бұрын
  • Oh shit I have a law

    Dan SnellDan Snell14 күн бұрын
    • yoooo dude you're in a Vsauce video!

      Richard Traviz CelonesRichard Traviz Celones8 күн бұрын
  • The slow mo at 23:40 micheal stares the camera LOL

    ERRORTVERRORTV14 күн бұрын
  • 23:42, Michael stares into your soul.

    Jonny595Jonny59514 күн бұрын
  • 🤔😳 Pusteblume

    PhilsnPhilsn14 күн бұрын
  • So it's the curve that is pushed up the least?

    J SimmonsJ Simmons14 күн бұрын
  • When is brain candy going on tour again

    bigg jigginsbigg jiggins14 күн бұрын
  • I like the part when he said "hey vsause Michael here"

    T O A S T B R E A DT O A S T B R E A D14 күн бұрын
  • Yooo the dude from myth busters!

    Futuristicbus 61Futuristicbus 6114 күн бұрын
  • Micheal makes me feel smart While, Adam makes me feel stupid

    Swapan Kumar BairagiSwapan Kumar Bairagi15 күн бұрын
  • it’s kinda scary how still michael can stay in slow motion

    NylesNyles15 күн бұрын
  • Im gonna be honest i have no idea what you are talking about sometimes but i still enjoy watching it so much

    SusieSusie15 күн бұрын
  • 5:40 Yoooooo it's a chameleon

    Just some guyJust some guy15 күн бұрын
  • "But what is ....rolling?" * Vsauce music kicks in *

    Just some guyJust some guy15 күн бұрын
  • My mind is just blown! Science is awesome!

    Omkar BhatkarOmkar Bhatkar15 күн бұрын
  • There's a life lesson hidden here: "No matter where you start in life you always win it "

    Omkar BhatkarOmkar Bhatkar15 күн бұрын
  • Is the thumbnail supposed to be a very thin banana?

    Dookie XoticDookie Xotic16 күн бұрын
  • Started with Geometry Time music video. The comments send me here, and I have to say, I am fascinated.

    Sounak KunduSounak Kundu17 күн бұрын
  • So, cool!

  • I built a cycloid during class with some roll tape and sticking graphite the thing on pencils into the tape roll, i roll it against a surface and thats it

    Liam TorresLiam Torres18 күн бұрын
  • I watch this like every year

    NoNo19 күн бұрын
  • Yeah I like that channel too.

    Soul MechanicsSoul Mechanics20 күн бұрын
  • How to talk to girls 3:34

    KoddKodd20 күн бұрын
  • I still want subtitles

    DawidekDawidek21 күн бұрын
  • Michael and Adam need to start a KZworld-channel together. The world need them collaborating.

    kalin83kalin8322 күн бұрын
  • bet you can’t tell me what Pneumonoultramicroscopicsilicovolcanoconiosis means

    Yesterdayal. Formerly ClimaxitYesterdayal. Formerly Climaxit22 күн бұрын
  • That was a treat to watch for so many reasons, thank you!

    Gary ZGary Z23 күн бұрын
  • Is this path used in space travel?

    Logan AdamsLogan Adams23 күн бұрын
  • these suspiciously look like polar curves.

    Marcos Johnson NoyaMarcos Johnson Noya23 күн бұрын
  • *sees a line* “That’s cool”

    Fun_Nuggets 2Fun_Nuggets 224 күн бұрын
  • This works better with a track and marble. Adam's design has too much friction. Michael didn't wanna just come out and say it

    Dude, smell my helmet.Dude, smell my helmet.25 күн бұрын
  • 0:45 I am in this picture and i will sue for privacy concerns, if you dont delete it.

    Listo GamingListo Gaming25 күн бұрын
  • i want an ouija board for geometry nerds

    Techno GamingTechno Gaming26 күн бұрын
  • Square wheels

    DarkBehindFlatDarkBehindFlat26 күн бұрын
  • 8:49 bro that looks like my dads enthusiasm with his brothers craftsmanship, haha they seem like really good friends edit for grammar

    Vinicius MouraVinicius Moura26 күн бұрын
  • what a sexy smile Michael

    MangoMango27 күн бұрын
  • this video is entirely absent from the videos section on the vsauce channel for me, wtf. it skips straight from "is it okay to touch mars?" to " showing my desk to adam savage". I spent like half an hour trying to find this video for the clip about how big the circle of all humans holding hands would be, scrolling through every vsauce video that was marked as watched on the channel, and of course it was a video that was bugged out and not even on the channel.

    BananaTassiumBananaTassium27 күн бұрын
  • my fav polygon is a square. When you put it into a cube space it takes a bigger volume than all other 3d polygons. (if the legnth of each side is the same that is.)

    Tricky_Fan2011Tricky_Fan201127 күн бұрын
  • 14:12 Adam: slams caliper on table Me: o h d e a r g o d w h y

    PotatoPotato28 күн бұрын
  • I like how he made a 30 minute video of explaining a curved line

    AGamingBananaYTAGamingBananaYT28 күн бұрын
  • Me, seeing the thumbnail : That's not a brachiostrone, that's a yellow circle in the void. I'm gonna prove this guy wrong. Michael : **elaborates** Me : That's a brachiostrone

    help monke get to 1KSubs pls?help monke get to 1KSubs pls?29 күн бұрын
  • appreciate

    ToritorerToritorer29 күн бұрын
  • 25:24 mah hart, mah sole

    EggEgg29 күн бұрын
  • The building is so perfect

    Blake BennettBlake Bennett29 күн бұрын
  • so many references

    Crez Cat Q. OjinalCrez Cat Q. Ojinal29 күн бұрын
  • 15:21 The Cardiod in the Mandelbrot

    Crez Cat Q. OjinalCrez Cat Q. Ojinal29 күн бұрын
  • so many "oids"

    Crez Cat Q. OjinalCrez Cat Q. Ojinal29 күн бұрын
  • If the public school systems could have applied the Brachistochrone curve to replace the "Bell" curve they were using when I was there... 🤔

    Mike BarronMike BarronАй бұрын
  • 20:54 did the cameraman just sneeze lmao

    AngikiAngikiАй бұрын
  • As always, amazing! !

    שמריהו נחמדשמריהו נחמדАй бұрын
  • i am a cat *My kitten actully typed this.

    Persian CatPersian CatАй бұрын
  • 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.

    BigMike SantaCruzBigMike SantaCruzАй бұрын
  • That intro was everything

    NovaNovaАй бұрын
  • So he met the adam but were is the beaver thats allways with da adam

    ACE MANACE MANАй бұрын
  • I may be wrong, but i believe this is the same curve made by e, and they all take the same amount of time to reach the bottom because the derivative of e is always e

    Daniel WimmerDaniel WimmerАй бұрын
  • E

    jeremy fishcerjeremy fishcerАй бұрын
  • wow I love Psych Lloyd and Brick East A Chrome

    MalcolmCooksMalcolmCooksАй бұрын
    • ricci stack rone

      MalcolmCooksMalcolmCooksАй бұрын
  • I will never get used to Michael staring into the camera at 23:40

    Elan WanElan WanАй бұрын
  • i have the same sweater that micael has

    pandamemepandamemeАй бұрын
  • sarebbe bellissimo che Michael fosse il mio professore tuttologo

  • 10:43 the Michael's face

  • He dead ass dropped my home town. Yeah, we're kind of stupid

    Iisakki-jaumo JällärrvenengsääIisakki-jaumo JällärrvenengsääАй бұрын
  • Brick easter kron

    Ashish KumarAshish KumarАй бұрын
  • 23:39 I like how he doesn't even look at the race

    shahnaz mirzashahnaz mirzaАй бұрын
  • You don’t know shit

    Kaiden HallKaiden HallАй бұрын
  • Quiet guys, he's explaining the Invader Zim movie.

    LoGanonLoGanonАй бұрын
  • What is rolling?

    SolMaxiZSolMaxiZАй бұрын
  • The giddy closet relatedly remember because bucket dfly carve alongside a torpid cod. jumpy, proud utensil

    Robin SullivanRobin SullivanАй бұрын
  • when you realize that Adam is real life santa and Michael's just visiting the north pole 9:53

    Nicholas GuerraNicholas GuerraАй бұрын
  • ahh the quiant times of 2017, when you could shout out 3blue1brown and it was still relatively new

    Nicholas GuerraNicholas GuerraАй бұрын
  • New season of Mythbusters looks great

    Влад ПузановВлад ПузановАй бұрын
  • genuinely i wonder why people dislike the video

    Manolo GonzalezManolo GonzalezАй бұрын