[HN Gopher] Veritasium: The SAT Question Everyone Got Wrong [video]
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       Veritasium: The SAT Question Everyone Got Wrong [video]
        
       Author : goplayoutside
       Score  : 43 points
       Date   : 2023-12-26 20:04 UTC (2 hours ago)
        
 (HTM) web link (www.youtube.com)
 (TXT) w3m dump (www.youtube.com)
        
       | krackers wrote:
       | This was also the infamous amc 2015 "clockblock" question
       | 
       | https://artofproblemsolving.com/wiki/index.php/2015_AMC_10A_...
        
         | CrazyStat wrote:
         | I remember having the same question (probably with different
         | sized circles) in our local high school math team competition
         | ca. 2002. I got it wrong.
        
       | lostmsu wrote:
       | The title sort of spoils it as it becomes obvious you need to
       | look for some issue with the trivial number solution.
        
         | anamexis wrote:
         | I think any video about it would spoil it, because you wouldn't
         | make a video about a trivial number problem.
        
       | orenlindsey wrote:
       | The guy who figured this out (who Veritasium interviewed) is
       | crazy smart.
       | 
       | Also, a lot of kids math problems (middle school and below) are
       | super vague. I get that they're designed to teach a concept, but
       | they could do it in a more exact/precise (idk what the word is)
       | way.
        
         | dudeinjapan wrote:
         | I think you are looking for the word "cromulent".
        
         | mewpmewp2 wrote:
         | Considering how little educators are paid, I'm amazed as to how
         | much they have been able to come up with and do already,
         | though.
        
       | mlcrypto wrote:
       | The perspective from inside the circle was mind blowing. Can that
       | be an analogy to relativity & time?
        
         | emmet wrote:
         | Such a clever way of showing the mechanic! Tried to picture it
         | in my head first and then he just did it for me
        
       | pmayrgundter wrote:
       | None of the explanations gave me an intuition for it except the
       | circle rolling down a straight line with the same length as its
       | circumference.
       | 
       | A roll down the line will rotate the circle once. Coming back the
       | same. But rolling around one corner will add half a
       | circumference, and another half for rolling around the other. So
       | you get 2 * 0.5 extra circumferences, and so + 1 C. Somehow that
       | helps with the other polynomials for me too. Super cool.
        
         | KMag wrote:
         | Do you mean polygon, or did I miss something relating to a
         | polynomial solution?
        
       | drc500free wrote:
       | What makes sense to me is to think about something that DOESN'T
       | roll.
       | 
       | Suppose I start in Greenwich, walk - without rolling - down the
       | prime meridian to the south pole, up the international date line
       | to the north pole, and back down the prime meridian to Greenwich.
       | 
       | How many rotations do I go through? One. I get a full rotation
       | because I've followed the earth's curvature all the way around
       | the globe once, even though I'm walking straight without rolling.
       | 
       | So the answer is "how many rotations due to rolling" plus "one
       | bonus rotation for passing around the curvature of the circle."
        
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       (page generated 2023-12-26 23:00 UTC)