The Brachistochrone
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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/Per....sonal/RoadsWheels/Ro
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/brach....istochrone/brachisto
Rolling:
http://www.animations.physics.....unsw.edu.au//jw/roll
http://teacher.pas.rochester.e....du/phy121/LectureNot
Refraction of light:
http://www.physicsclassroom.co....m/class/refrn/Lesson
http://www.funscience.in/study....-zone/Physics/Refrac
http://www.walter-fendt.de/htm....l5/phen/refractionhu
http://micro.magnet.fsu.edu/pr....imer/java/particleor
http://astro.unl.edu/classacti....on/animations/telesc
http://demonstrations.wolfram.....com/FermatsPrinciple
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-fin
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_curv
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/ShapingARoadAndF
Contributed by: Stan Wagon (Macalester College)
