The Brachistochrone
BRAIN CANDY LIVE TICKETS: http://www.braincandylive.com/tickets
Links to sources and to learn more below!
MY TWITTER: http://www.twitter.com/tweetsauce
MY INSTAGRAM: http://www.instagram.com/electricpants
THE CURIOSITY BOX: https://www.curiositybox.com/
Stan Wagon “Roads and Wheels” [PDF]: http://web.mst.edu/~lmhall/Personal/RoadsWheels/RoadsWheels.pdf
3Blue1Brown video, “The Brachistochrone, with Steven Strogatz”: https://www.youtube.com/watch?v=Cld0p3a43fU
Pile of people visualization originally from this Vsauce1 video: https://www.youtube.com/watch?v=C6eOcd06kdk
Online spirograph: http://nathanfriend.io/inspirograph/
The Brachistochrone http://whistleralley.com/brachistochrone/brachistochrone.htm
Rolling:
http://www.animations.physics.unsw.edu.au//jw/rolling.htm
http://teacher.pas.rochester.edu/phy121/LectureNotes/Chapter12/Chapter12.html
Refraction of light:
http://www.physicsclassroom.com/class/refrn/Lesson-1/Refraction-and-Sight
http://www.funscience.in/study-zone/Physics/RefractionOfLight/AtmosphericRefraction.php
http://www.walter-fendt.de/html5/phen/refractionhuygens_en.htm
http://micro.magnet.fsu.edu/primer/java/particleorwave/refraction/
http://astro.unl.edu/classaction/animations/telescopes/snellslaw.html
http://demonstrations.wolfram.com/FermatsPrincipleAndSnellsLaw/
Feynman on The Principle of Least Time: http://www.feynmanlectures.caltech.edu/I_26.html
cycloid as answer to brachistochrone: https://sinews.siam.org/About-the-Author/quick-find-a-solution-to-the-brachistochrone-problem-1
Music from:
https://www.youtube.com/jakechudnow
and
http://www.audionetwork.com
Roulette animations by Eric Langlay https://www.youtube.com/c/ericlanglay
good relevant Wikipedia articles:
https://en.wikipedia.org/wiki/Brachistochrone_curve
https://en.wikipedia.org/wiki/Tautochrone_curve
https://goo.gl/SlRDhK
https://en.wikipedia.org/wiki/Cycloid
https://en.wikipedia.org/wiki/Snell's_law
Wolfram demonstration projects used:
"Cycloid Curves" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CycloidCurves/
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
http://demonstrations.wolfram.com/ShapingARoadAndFindingTheCorrespondingWheel/
Contributed by: Stan Wagon (Macalester College)
Видео The Brachistochrone канала Vsauce
Links to sources and to learn more below!
MY TWITTER: http://www.twitter.com/tweetsauce
MY INSTAGRAM: http://www.instagram.com/electricpants
THE CURIOSITY BOX: https://www.curiositybox.com/
Stan Wagon “Roads and Wheels” [PDF]: http://web.mst.edu/~lmhall/Personal/RoadsWheels/RoadsWheels.pdf
3Blue1Brown video, “The Brachistochrone, with Steven Strogatz”: https://www.youtube.com/watch?v=Cld0p3a43fU
Pile of people visualization originally from this Vsauce1 video: https://www.youtube.com/watch?v=C6eOcd06kdk
Online spirograph: http://nathanfriend.io/inspirograph/
The Brachistochrone http://whistleralley.com/brachistochrone/brachistochrone.htm
Rolling:
http://www.animations.physics.unsw.edu.au//jw/rolling.htm
http://teacher.pas.rochester.edu/phy121/LectureNotes/Chapter12/Chapter12.html
Refraction of light:
http://www.physicsclassroom.com/class/refrn/Lesson-1/Refraction-and-Sight
http://www.funscience.in/study-zone/Physics/RefractionOfLight/AtmosphericRefraction.php
http://www.walter-fendt.de/html5/phen/refractionhuygens_en.htm
http://micro.magnet.fsu.edu/primer/java/particleorwave/refraction/
http://astro.unl.edu/classaction/animations/telescopes/snellslaw.html
http://demonstrations.wolfram.com/FermatsPrincipleAndSnellsLaw/
Feynman on The Principle of Least Time: http://www.feynmanlectures.caltech.edu/I_26.html
cycloid as answer to brachistochrone: https://sinews.siam.org/About-the-Author/quick-find-a-solution-to-the-brachistochrone-problem-1
Music from:
https://www.youtube.com/jakechudnow
and
http://www.audionetwork.com
Roulette animations by Eric Langlay https://www.youtube.com/c/ericlanglay
good relevant Wikipedia articles:
https://en.wikipedia.org/wiki/Brachistochrone_curve
https://en.wikipedia.org/wiki/Tautochrone_curve
https://goo.gl/SlRDhK
https://en.wikipedia.org/wiki/Cycloid
https://en.wikipedia.org/wiki/Snell's_law
Wolfram demonstration projects used:
"Cycloid Curves" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CycloidCurves/
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
http://demonstrations.wolfram.com/ShapingARoadAndFindingTheCorrespondingWheel/
Contributed by: Stan Wagon (Macalester College)
Видео The Brachistochrone канала Vsauce
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