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zakruti.com » Knowledge, science, education » Numberphile
Perplexing Paperclips - Numberphile

Perplexing Paperclips - Numberphile

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Rating: 4.0; Vote: 1
Perplexing Paperclips Vark: What's interesting to me about this (apart from all of it) is how intuition seems far clearer than what physically happens in the slo-mo clips.
I can't make any sense of those whatsoever.
The 'media' part of me was anticipating the last case to end up with 52 smaller rubber bands connected by 12. 6 paperclips all shaped like goats, just to show us how wrong intuition can be.
But sometimes what seems like being how things should work just IS.

Date: 2022-04-08

Comments and reviews: 9


Numberphile videos with Prof. Tokieda are always such a delight, just fascinating. Just read the wikipedia article about him, this guy is unbelievable, started out as a painter, then went on as philologist before even getting seriously involved in the field of maths, furthermore he is fluid in about six languages. this man is a genius, a beautiful mind.
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some people may think that this isn't useful, but there is always usefulness in understanding. this might be useful for bundling things that need to be in a specific (flat) orientation and come out in a certain way. for example robots, cars, or nasa application in space.
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The diagram at 11: 30 looks off. If you removed the paper from the diagram, one of the bands would be completely separated. But in reality both bands are linked to paper-clips at this point (you can see this at 11: 40 or at 12: 45. Great video as always though!
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I was wondering: what about getting the rubberband around the paper segment in between the two paperclips? I mean, the rubber band goes through the two -eyes- generated by the clipping of the s-shaped paper
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In version 1+1, I had guessed that both rubber bands would stay on the paper, but that they would be connected by one paperclip and the other paperclip would hang from the first paperclip alone.
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This is, for me, Numberphile's greatest video. It presents the essence of mathematics (which is basically pattern observation) so gracefully and clearly. Plus Tadashi is such an excellent Teacher!
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But, but, what if the width of the paper is shorter than the length of the clips, so that with the very last experiment those clips might cling when you pull the ends of the paper?
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I suspect computing version one and version two together would have been easier had the paper clips been different colors.
Which sounds like an interesting experiment for home.

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What if paperclips or rubberbands or the paper sheet are different sizes relative yo each other
For example if you use the inverted paperclips setup but in a smaller sheet?

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