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  • Alex Bellos: So this is one of Dudeney's famous puzzles,

  • which, you know, still making money to the carpenters of Greece,

  • but there's another one which is probably my preferred puzzle of his.

  • And I've given this puzzle to loads of people.

  • In fact, sometimes I've given them to like, professors...

  • There's some really smart people, and it's not totally obvious how to do it.

  • And this is a Dudeney puzzle...

  • It's very very simple. All you need is...

  • Six.

  • One, two, three, four, five...

  • Six

  • coins.

  • And, the idea is to get them into the hexagon like that.

  • That's what you're aiming to get...

  • And you must start from this.

  • Okay?

  • And the single rule is that you can move something anywhere by sliding,

  • so you can't pick it up, just by sliding

  • anything you move you can only put somewhere that touches two other coins.

  • So, you couldn't move this to he- to- we could-

  • to here.

  • You couldn't do that because it's not moving to a p-- it's not touching two other coins.

  • So this one here, you can move it to there,

  • you could move it to here,

  • You could move it to here... It just has to be touching two other coins.

  • and what I want, I want you to get from there to...

  • here, in three moves.

  • You can do it in 4 or 5 moves pretty much straight away, but to get it in three moves,

  • Does take a bit of thought, does take a bit of thought.

  • And, quite often you forget how to do it, so you could be on another train journey

  • and get it out, and...

  • This puzzle here was really the beginning of... There are lots of other in the genre of,

  • you've got a certain amount of coins, they're in one pattern,

  • you've got to make another pattern, and you can only do it by sliding it to a place

  • that's touching two others.

  • What you don't want to do, is lots of people start like this:

  • they think, "Well, I can do this, but then this one's trapped."

  • Because you can't move that one out because these two are doing it.

  • So you- you've gotta- And you can't take it up.

  • So you can only do it by sliding, and you're not allowed to move any others.

  • So, the way that you would solve it, if I could just remember how on earth I did it, is...

  • Yeah, you put- No you don't...

  • [Chuckles] This is hilarious.

  • I haven't done this in a while, and I say the reason why I really enjoyed this puzzle is that you

  • You forget -- I'm gonna find it, I'm gonna find it, I'm gonna find it.

  • Brady Haran: I know!

  • Alex: This is like stage fright this one goes here

  • this one goes here. And that one goes there.

  • I just assumed people were doing this for

  • hundreds of years or that there was no kind of someone actually it had to go and invent it but

  • Like so many other puzzles this one was invented by a Henry Ernest Dudeney.

  • most puzzles try and - well, most mathematical and logical puzzles try and

  • express some mathematical ideal to give you some insight and there have been some puzzles that I have invented to try and

  • Express some mathematical idea which I've not seen before but what I also have done

  • Which is what every puzzle writer has been doing since the beginning is

  • That you have to rewrite and adapt all the old puzzles for a new age

  • so

  • You know I think the interesting thing about puzzles is that

  • we've been doing pretty much the same puzzles for last 2,000 years

  • And a good puzzle is something that that goes viral people want to share people want to

  • Either ask how to do it or they want to see if the other person is as clever as you

  • And this is something that with the Internet has really shown that and I first started writing about puzzles when I realized how

  • viral they could go and as I researched it I

  • Realized that every puzzle that I was reading from someone was actually a rewritten puzzle from someone else

  • And then you can kind of trace it back so being a journalists really by profession in the vein of

  • "Can you solve my problems?"

  • I try to sort of tell the history of how these things work, and it's a little bit like jokes so jokes

  • you know

  • It's not often that someone actually invents a whole new joke. Essentially what they're doing is they're retelling that joke.

  • You know with the few new words in it, and the intonation is a bit different puzzles are exactly the same that they are

  • They're like a living thing and they can they carry on going and they get better in the retelling

  • Brady: Hi there everyone, thanks for watching do you have a coin to hand? If so,

  • Why don't you toss it, if it comes up heads, click on the left for our coin playlist.

  • And if it comes up tails, click on the right

  • That's an objectivity video about a whole box of puzzles featuring Matt Parker

  • so these are very much loose papers

  • [Oh!] exactly as they were presented to the Royal Society

  • So there's a lot of very miscellaneous material in here

  • Brady: if you haven't got a coin

  • Well just choose, I guess

Alex Bellos: So this is one of Dudeney's famous puzzles,

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A2 初級

コインの六角形 - Numberphile (The Coin Hexagon - Numberphile)

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    林宜悉 に公開 2021 年 01 月 14 日
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