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Round Peg in a Square Hole [video]

796 点作者 xbryanx大约 7 年前

16 条评论

OskarS大约 7 年前
I love Tadashi Tokieda so much, he&#x27;s just one of the most delightful human beings I&#x27;ve ever seen. I highly recommend all of his Numberphile videos, and you should also check out his Toy Models lecture [1]. It&#x27;s so much fun to see him show some weird phenomenon with marbles or magnets or whatever (that should be seemingly simple to explain with mathematics and&#x2F;or classical physics) and then say &quot;There is no theory for this. We have no idea why this happens. I&#x27;m working on it though&quot;.<p>[1]: <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=pkfDYOZ1p4Y" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=pkfDYOZ1p4Y</a>
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wolfgke大约 7 年前
To me this is not very surprising to me, since in Germany there exists a well-known children&#x27;s game called &quot;Durch eine Postkarte steigen&quot; (&quot;step through a postcard&quot;), where - as the naming suggests - you have to step through a postcard while you are only allowed to use scissors to cut the postcard in a clever way.<p>Here a German YouTube video that shows how it is done (you don&#x27;t have to understand anything that is spoken, since I think the video is quite self-explanatory):<p>&gt; <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=ynoLSTsrRhs" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=ynoLSTsrRhs</a>
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thegabez大约 7 年前
Goes to show how poorly adapted our intuition is in manipulating space across dimensions. Its scary to think about how much ground breaking science is still left uncovered because of this blindspot.
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ghostwreck大约 7 年前
If you like the idea of solving problems using extra dimensions, Diaspora [1] takes the idea in some really interesting directions. Just be prepared to fight through a few sections of intense Riemannian geometry to bring you into that world.<p>[1]: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Diaspora_(novel)" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Diaspora_(novel)</a>
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Starwatcher2001大约 7 年前
Love it. It&#x27;s stuff like this that got me interested in science. I remember seeing the same thing (larger object through a smaller hole) demonstrated on &quot;How&quot; in the 1970s, which was a TV show with a quirky mixture of science and fun. It was aimed at children, but didn&#x27;t talk down to them.<p>Here&#x27;s a ransom episode for those who remember that show.<p><a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=rsDd_9VpzHE" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=rsDd_9VpzHE</a>
kamranjon大约 7 年前
so cool - I also like the term &#x27;ambient 3rd dimension&#x27;
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runeks大约 7 年前
Seems obvious to me: you have a square with four sides of length <i>n</i>, and when you fold the paper, the four-sided square with a circumference of <i>4n</i> becomes a slit of length <i>2n</i>.
tomtimtall大约 7 年前
You can fit any object at any size through a an arbitrarily small and arbitrarily shaped hole. Just blend it an send it through as a stream with the same cross section as the hole. The naysaers will say that this is cheating because you are changing the shape of the object, but the trick mentioned here is just changing the shape of the hole from a square of one perimeter length into a rectangle with the same perimeter length. Similar yet simpler trick for those who don’t have a blendtec ready at hand.
aidos大约 7 年前
Someone posted this in a comment on HN during the week and I subscribed immediately. Soooo wonderful. I&#x27;m definitely going to give this a shot with the kids tomorrow. Thanks for reminding me.
sackeyj1大约 7 年前
Didn&#x27;t think I&#x27;d really be that interested in this. Kind of made me excited. Thanks.
andy_ppp大约 7 年前
I think about the analogy of folding spacetime when I see things like this... what could you used to fold a 4d region of spacetime into a fifth dimension to create a “wormhole” and where would it lead? I’m not even sure what this would mean!
jonplackett大约 7 年前
Never heard of Tadashi Tokieda before so THANKS!
Slansitartop大约 7 年前
Great video, but I think it would have been better without the cartoons. They were distracting and added nothing.
sillysaurus3大约 7 年前
I wish HN would loosen up and admit that videos are a new medium, worth taking seriously. It might bother us that longform writing is dying, but when the new generation decides that this is the way new ideas should be communicated, we&#x27;ll be left with no audience.<p>For example, I&#x27;ve been working on an essay for some time now, but I&#x27;m seriously considering making it into a companion video. I have no video experience whatsoever, so that&#x27;s a tall order. But what are you to do? If you want to make an impact, are you sure it&#x27;s still possible to do it by writing 173 essays over 15 years? It used to be, but the world seems to be changing.<p>(This is mostly a reaction to this post being one of the rare videos Deemed Worthy to be on the front page, when there are tens of thousands of others. It&#x27;s not a good idea to mix up the content too much, but there really are a lot of quality videos and no central curation mechanism. Unlike articles. &#x2F;r&#x2F;videos is for mainstream content, like <a href="https:&#x2F;&#x2F;youtu.be&#x2F;kJGGlVg5PpY" rel="nofollow">https:&#x2F;&#x2F;youtu.be&#x2F;kJGGlVg5PpY</a>. There really isn&#x27;t any place that collects intellectually gratifying content like the current submission.)
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neogodless大约 7 年前
Ahhh Easter Egg! Firmware version! Love it!
IshKebab大约 7 年前
Thought this was going to get clever but... it didn&#x27;t.