[HN Gopher] Veritasium: The SAT Question Everyone Got Wrong [video] ___________________________________________________________________ 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." ___________________________________________________________________ (page generated 2023-12-26 23:00 UTC)