The Brachistochrone

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  • Published on:  Saturday, January 21, 2017
  • 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://anyclips.net/video/Cld0p3a43fU

    Pile of people visualization originally from this Vsauce1 video: https://anyclips.net/video/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)
  • Source: https://youtu.be/skvnj67YGmw

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