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The Brachistochrone
- Published_at:2017-01-21
- Category:Entertainment
- Channel:Vsauce
- tags: michael stevens adam savage brachistochrone curve math geometry cycloid roulette rolling brain candy live tautochrone maths science snell's law light refraction
- description: 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)
| ranked in date | views | likes | Comments | ranked in country (#position) |
|---|---|---|---|---|
| 2017-01-22 | 496,731 | 75,838 | 9,152 |
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| 2017-01-23 | 2,060,535 | 136,910 | 15,069 |
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| 2017-01-24 | 2,622,547 | 156,583 | 16,822 |
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| 2017-01-25 | 2,820,675 | 163,436 | 11,746 |
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