The Brachistochrone

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Links to sources and to learn more below!

Rolling:

Refraction of light:

Music from:
and

good relevant Wikipedia articles:

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)
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Vsauce as a toddler: O... O...
Vsauce’s mom: He’s saying his first words...
Vsauce: Or am I?

brampedgex
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Seeing Michael on the square wheeled tricycle brought great joy to me

Stooch
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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.

avidcloud
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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

David_Rg
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The speed at which Adam figures out how he wants to build shit, is amazing.

mazemir
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“Do you have a polygon around here?” Is the most Vsauce this I’ve ever heard

Morganwoolford
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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

TheKingdomCookies
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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*

Anonymoususer
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Vsauce: Do you have a favorite polygon?
CGP Grey: Hexagons are the bestagons.

PaulGaither
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Michael and Adam working together is the perfect example of "the scientist comes up with an idea and the engineer makes it work"

zeldasol
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23:39 Please don't look at me like that Michael.

VeritasGames
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0:41 It was an absolute pleasure to be featured in one of your videos, Michael! Thanks for showing me in the video.

hindustanimapper
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Vsauce wedding:

Do you, Vsauce, Michael Here, take this woman to be your lawfully wedded wife?
"I do."
"Or do I?"
[Music plays]

daramaguiginn
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"If every single one of us held hands in a chain of unity around earth." A lot of us would drown.

roterex
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23:45 I love Michael having the idea to just stare at the camera instead of looking at his dream come true

yeahboi
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How did Adam manage to bald so gracefully. Also when 2 exceptional people get together it's always a treat

Gwynstborn
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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”

Amongst_Shadows
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"Do you have a favorite polygon" is the nerdiest thing ever said on this planet and I love it

Personally I like apeirogons

generator
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Adam: “I’ve got some protractors here.”

Michael: “oooo”

colinsheehan
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At 23:39 Michael isn't watching the experiment, but rather he's staring at us🙂

elithemitzu
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