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82 comments

Chain Links: CR4 Challenge (10/27/09)

Posted October 25, 2009 5:01 PM

This week's Challenge Question:

A customer goes into a jewelers shop and lays 8 chain segments on the counter. The segments are 30, 20, 17, 13, 9, 6, 3, 2 links long long, and each link is 1cm. The customer asks that they be assembled into a continuous chain 100 links long, by cutting and re-joining links as necessary. If it takes 1 minute to cut and open a link, and 2 minutes to weld it closed (ignore the time taken to pick-up, thread or set down the link), what is the least time in which the jeweler can complete the task?

Thanks to SlideRuler for providing us with this Challenge.

And the Answer is...

There are 8 sections. If he simply opened the end link of a section and attaches it to another section, he would have to do this 7 times to make a continuous length taking 21 minutes. If he cuts the 6 link section into separate links, he will have enough cut links to join the 7 remaining sections, taking 18 min. He can do even better, by cutting the 3 and 2 link sections into separate links, and use the 5 cut links to join the 6 remaining sections. Time taken in this case is 15 min.


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#1

Re: Chain Links: CR4 Challenge (10/27/09)

10/26/2009 4:21 PM

15 minutes. Split the 2 and the 3 into individual, open, links and use them to link the other six pieces.

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#2
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/26/2009 11:27 PM

GA

Well, this is going to be a short thread - maybe we should calculate how long it will take to fall off the table too.

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#3
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 12:18 AM

you need to split the other six chains also which will take 1min each, and then attaching the links is each 2 min. I am not sure how u got 15 min?

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#6
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 1:11 AM

One cut to make 2 links of the 2-long.

Two cuts to make 3 links of the 3-long.

3 minutes so far.

Welding 5 links closed: 2 x 5 = 10

13 minutes total.

Why the extra 2 minutes? ... of course I am assuming that you fold the links over and cut through two at once... maybe that's cheating.

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#7
In reply to #6

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 1:26 AM

You have to cut all five links in order to use them to splice the other sections together. Five cuts, five welds, fifteen minutes. I have to start reading this earlier in the day.

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#12
In reply to #6

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:16 AM

Seems to me Blink, given cheating is good, that cutting the three is one operation. Or your jeweller did it in 12 mins. But as posed, I have to GA PG - sorry.

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#56
In reply to #6

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 7:10 AM

Once again I was wrong (I think). Guru Blink you are correct if the jeweller is cutting the links by pulling the links in opposite directions and cut where the links engage so that both links will be cut open with one cut. As a result he gets five open links fron the two-link and three-link pieces in three cuts.

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#58
In reply to #56

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 2:23 PM

I suppose that my interpretation is perhaps cheating, though.

The question says it takes "1 minute to cut and open a link" so if we have cut and opened 5 links, even if we did it in just one cut (by stacking and folding the 2 and 3 link segments together, and thus making 5 cuts in one motion).

If we have "cut and opened" 5 links, then we have taken 5 minutes, would be the official interpretation, I think. (Mighty slow jeweler!)

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#11
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:16 AM

the chain has to be continuous i.e end less. so 18 minutes are required.

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#18
In reply to #11

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:10 AM

Hmm - that's a matter of interpretation...

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#49
In reply to #11

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:24 PM

By "continuous" I meant a single chain with two ends, not "endless". Sorry for the ambiguity.

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#14
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:01 AM

Regards.

I think it is impossible:

2 & 3 links long will give you 5 links & you will be able to connect 10 Ends [only 5 remaining segments]

 

&& &&& = 5 Links

1=====2 & 3===4 & 5===6 & 7=====8

& 9 ===10 & 11=====12 (&) 6th link

Ends 1 & 9 are connected together while ends 8 & 12 are connected by 6th extra link taken by cuttin the last link of end 8 or 12.

Only possible if you connect the remaining 2 ends be connected by cutting

one of the link of remaining 2 ends & connect them together.

 So add 3 minutes in your result come to 18 minutes.

<< The segments are 30, 20, 17, 13, 9, 6, 3, 2 links long >>

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#29
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 8:16 AM

GA - Darn! By the time I see the challenge, most times it is analyzed and solved. 15 minutes was my response (seemed pretty simple) but sometimes there is a more creative interpretation or solution.

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#31
In reply to #29

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 8:54 AM

I was surprised when I found the puzzle, it had been up for about a day with no answer yet. I am happy about it, it brought me my first GA. Thank you all for that.

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#35
In reply to #31

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 10:07 AM

You are welcome. GAs are strange. I had first 3 as a guest and none since registering. I have seen many that look like they are the best expected, but because I could not validate it, I had to allow others better qualified to give the GA. I personally find the value of CR4 to first be valuable shared information and experiences, second to helping others and third the recognition (some times a thank you is better than a GA).

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#36
In reply to #35

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 10:19 AM

If it looks to be a thoughtful, relevant and insightful answer to you, I think you should put modesty aside and give it a GA*. If subsequent contributions show it merely to be misleading, then you can always change your mind.

I'm aware that there is a problem with the standard way of changing your mind, in that you can only change between GA and "off-topic", when all you wish to do is cancel your GA. My solution is to give an off-topic vote under another identity (I know, alternate identities can be used for less ethical reasons - but let's not go there).

*There will be plenty of less-informed people giving ratings, so it won't be harmful.

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#37
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Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 11:07 AM

Your proposal makes sense, but I still feel obligated to reasonably judge myself qualified before giving a GA. I have found it frustrating going through a good thread, where I have limited knowledge, trying to weed out the not so GA and want to avoid contributing to that situation.

Thanks for the guidance.

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#38
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Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 11:24 AM

The problem being that you can't see who gave the GAs, so they only aid judgement if the majority of those voting are better-informed than you. Currently, the most that we can say for GAs is that they can be a guide as to which answers may be worth reading (and not always good guides at that)

Having seen your postings, my belief is that you value insight - and such is worth reading even if not entirely correct or complete.

For myself, I tend to add a comment as well as a GA if I think I know what I'm writing about and there's any disagreement.

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#39
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Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 11:36 AM

Thanks,

I respect your opinion and value your judgement!

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#46
In reply to #1

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 2:46 PM

I think that you are correct.

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#4

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 12:21 AM

90 mins

Needs to cut & weld 30 links (17+13) to 60 links.

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#5

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 12:45 AM

Would you please reply whether these 8 chain links are rings or they were part of the chain and opened apart intentionally. I can give you the clew of answer that the jeweler would cut every alternate segment and pass through uncut segment and continue till the chain link is complete.

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#8

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 2:20 AM

12 minutes enough. The chain segments we need 30,30,30,9,2(1 is spare). One of 2 links will provide circle.

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#9

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 3:47 AM

Customer only brought 8 segments that basically sums up to 100 links. You need to make 7 cuts and welds to make the 100 link long chain. 1 min for cut and 2 min for weld per joint, means you need 21 minutes to complete the chain.

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#10

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:12 AM

cut open 3 and 2 links to have 5 open links. total time 5 minutes.

Connect 30-20-17-13-9-6 with the 5 open links time 10 minutes.

open one link in 6 and connect to 30 time 3 minutes.


Grand total time 18 minutes.

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#17
In reply to #10

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:09 AM

It only says a continuous chain, so a straight line would do (I think you have made a circle).

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#13

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:34 AM

Does "continuous chain" mean a loop? Not clear from the challenge.

If it does, I would say 8 links to be cut and welded (one end of each segment) so time is 24 minutes. If it's not a loop, one segment needs no cutting so 7 links and 21 minutes. I can't how it can be done with fewer operations. But it all sounds too easy so I'm probably missing something.

Cheers........Codey

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#15
In reply to #13

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:08 AM

I guess I'll have to agree with you on this one. There is a confusion on the word continuous. If this is indeed a loop, then it's 24 mins.

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#42
In reply to #15

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 1:40 PM

No, a loop need only take 18 minutes. Open all the links in the 2 and 3 segment lengths, and use them to join the other sections together in a line. Break a link at one end of the line and use it to join to the other end. 6 breaks, six welds, 18 minutes. (Discounting the thought that cutting six links simultaneously could be faster than cutting them one at a time)

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#16
In reply to #13

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:08 AM

The answer has to be 18. Split the 3 and 2 creating 5 individual links. =5mins

Use these links to join 30 - 20 - 17 - 13 - 9 - 6

Weld each join closed at 2 min per weld is =10min giving a total of 15min. now split the last link on the 6 segment at =1 min

and join to the 30 segment to creat a closed loop . Weld closed at =2 min . Therefore 5mins + 10min + 1min + 2min = 18min

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#48
In reply to #16

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 3:08 PM

I do not think the challenge question asks to have a closed loop of chain, just a continuous chain.

Thanks,

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#19

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:28 AM

Hi slideruler,

I have enjoyed the chain based challenges immensely (as a witness).

Might I suggest you sharpen up one or two things.

Firstly please use preferred metric increments.

cm is for dress makers and hat makers, though I acknowledge/understand the dyne made easy intent.

mm or m is 'preferred' - ie 1000 multipliers

Second; everyone assumed in "pendant" that 1 cm 'long' x 100 links = 1m total length.

or they read "length" = "effective pitch" = 1cm (so 10 mm) = not necessarily 1 m - is it?

aka "assume" = all wrong - even without the ? angular conundrum.

In this one, 'length' has no functional relevance, but all the same, as Dac observed, the fuzzy continuity remains for those who would play (given standardised data).

Please don't take offence at my mutterings, keep the challengers coming, just give some thought to possible imponderables that some might see as 'insufficient data to play'.

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#21
In reply to #19

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:36 AM

Reasonable approximations should be assumed when "a customer goes into a jeweller". In any event, the jeweller could distort the links when joining to achieve the exact length if necessary. But five links are required to achieve a continuous chain.

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#59
In reply to #19

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 3:21 PM

Thanks for you comments which do not offend me at all.

As for units: (I am an engineer by the way) I have lived through dyne, pound, poundal, lbf and newton; the gm, pound, slug, lbm and kg; the erg, cal, BTU, ft lb and Joule. I will certainly try to abide to SI units in their 'preferred' format, but can't rule out occasional lapses.

aka "assume" = all wrong.... I'm afraid I don't understand this. Do you mean that the assumptions I gave were all wrong? Do you mean it is wrong to give any assumptions? What does aka mean (also known as?). In my student days it was common to be instructed for example to "assume ideal gas laws".

I will continue to submit challenges just as I will continue trying to answer them. Pity there isn't a GQ similar to the GA. Feedback on what was popular would be a help. The star rating seems to be seldom used.

Thanks again for your comments

SLR

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#60
In reply to #59

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 4:14 PM

Thank you for the question and the replies. I am enjoying them immensely.

We never made the conversion to SI, nobody, including the government, wanted to pay for it, for the time to get a "feel" for the units; I know what a ftkip feels like, literally, but I have not a clue what an Nm(sp?) feels like.

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#63
In reply to #59

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 11:57 PM

Hi SLR, I see we have lived through much the same.

"Lapses"; I have a few myself and embarrassingly, (given the cm wingeing), one is to use cc's when it comes to engine capacity. Over a litre - not a problem - but under, I just can't use "ml"; I badly want to use "cc", so like most - just leave it unsaid (between lapses).

"Assume" in my "= wrong" context, is that which people make in the absence of facts, guidance or will to be diligent/logical/inquisitive. For instance in the above unsaid, after say "650", in the small motor context, when it is "assumed" to mean cubic inches or litres, it may = wrong.

This is entirely different to 'guidance' by a lecturer on parameters to accept as "true" for the purposes of...

"Assume" in this context accomplishes two things. It acknowledges that some incongruity/complexity may exist and puts a boundary on the question, meaning don't delve into that.

E.g. what you posed in pendant;

"A customer takes a 100-link chain to her jeweler. Each link is 1 cm long"

Is 'bound' by

"to one end of the 100 cm chain".

This is a Perfectly Legitimate Boundary and I have no problem with that question in terms of clarity or your intent - but;

'Boundaries' may create their own problems.

With pendant, as written; if 100 links, 10 mm long, result in a chain of 1m: the link to link engagements are infinitely thin.

So 'assuming' "chain" means the common article's uniform section construction, how do links have mass? So how does the pendant (= 21 links) have mass? so why should it fall at all? Thereby a 'legitimate' alternate answer is 'infinity'.

"A chain of 100 links, 1 metre in length", may have been better.

By not supplying link length boundary, the infinitely thin argument is null.

My wording still leaves the problem of link form (eye radius) altering the assumed 1 m effective contact length with the felt in terms of 'leave' the surface.

Though "only accurate to two decimal places" nicely covers that.

It is difficult to protect yourself (even after spending millions of dollars) from every nit picker twit who just refuses to see the intent of the question. A way to minimise is to test the question. This site is actually fantastic for that. Not many questions survive here. Meaning; you're dam good at it.

I rate your joining question a "million dollar job".

There is only one correct answer and to a large extent only one 'wrong answer'. I.e. every other method of cut/join = 21 mins.

This is why I was happy to acknowledge Blink's cleverness, but couldn't give a GA as he 'cheated' the boundary ("it takes 1 minute to cut and open a link")

If there was a GQ, "joining" would have my vote instantly.

(Yes, aka was meant as "also known as". Strictly A.K.A. so my apologies for the jargon in sloppy acronym form) (I should have 'tested it' and spent more money on it)

I hope there is something of use in the above, and look forward to more questions - and don't let possible lack of "perfection" get in your way - nothing is.

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#20

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:30 AM

The only issue I can see is the definition of continuous. I assume we mean a continuous sequence, so a straight line would be fine (which is why I gave a GA to post #1). Some seem to have further restrict it as meaning endless, which I believe to be an unjustifiably tighter constraint - even discounting that a circular chain could only extend to a length of 50 links...

All this is written in pure frustration that the request was so-well worded that the jeweller couldn't simply use a single link (from whichever segment) to join all the segments together (3 minutes).

So Kudos for this S-R (even though the challenge itself was too easy).

But isn't it time to go back to the chain-and-pendant challenge and post your "challenger's confirmation" that jim was right and the chain would stop going around the corner somewhat before it left the table - meaning that the standard "solution" is incorrect?

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#22
In reply to #20

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:47 AM

I'm with the Physicist. Continuous does not mean circular. The Green Guy got it right with 15 minutes. The "easy" answer would be 21 minutes if you had the jeweler cutting the last link in each segment to connect it to the next segment. Coming up with the clever idea of cutting the last two small segments completely apart and than using those links to link BOTH ends of the larger segments per operation is what gives him the win and is the intended "critical thinking process" intended by the challenge writer. That's my 2 cents worth and I'm sticking by it! Randy

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#25
In reply to #20

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 6:37 AM

Hey physicist, I see we are typing simultaneously but on different vectors again.

We both observed the pendant had things "not encompassed"

Jim introduced dynamic modeling, but on the available data and consistent necessary assumptions - got "nearer"- thats all.

Therefore I think it is a bit harsh on SL to demand a "challengers confirmation".

It takes edu millions of dollars to get one 4 option "pick-a-box" question statistically reliable. Poor SL is doing it for nothing / fun.

A Big Pity pendant got abusive, and no need to re-live that - ay?

How about we help with challenge questions?

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#27
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Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 7:41 AM

It wasn't intended as a 'demand'. And SL certainly has nothing to be ashamed of: highly-reputed universities continue to set very similar questions (with the self-same issue) both as coursework and for examination- and SR's version was IMHO better worded than most of those. So a comment (from SR - because as the poser of the challenge he has some deserved authority) that the solution does not strictly correspond to the physical situation as described would be a bonus.

Regarding providing questions - I've done a few - and sometimes found the need to issue clarifications. I will doubtless attempt some more in the future (but I'll bounce them off you first if that's OK).

On the subject of "abusive" - either I missed it or interpreted it as (intentionally) silly banter rather than abuse.

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#33
In reply to #27

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 9:37 AM

Physicist you may bounce whatever you like off me, as may any (except 'transparent guests'). If I know - I will be delighted to share. If not, like many strings where I have nothing useful to contribute - expect silence, silliness but never disinterest.

Ref "abusive" - either I missed it or interpreted it as (intentionally) silly banter rather than abuse." Well you would - as none was intended.

It's not about you, me or SR, or any who can "fight all out" on issues and "facts" without rancor.

It's about how it can be read.

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#34
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Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 10:05 AM

"It's about how it can be read."
As my wife never tires of reminding me (although I may not be too bad on factual precision) I'm a complete nincompoop when it comes to avoiding unintended emotional implications.

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#55
In reply to #34

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 3:51 AM

"nincompoop" - Ah the nostalgia that evokes. I'd be delighted to chat. Goto user profile.

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#47
In reply to #20

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 3:06 PM

I acknowledge the fact that Jim; Fyz; passingtongreen; Tee-Square (and any others I have missed) were correct in their implications that any solution which did not take into account the fact that the chain would change its path and leave the table edge horizontally, would be inaccurate (false).

Because of the narrative form of the challenge, I was not able to include a 45° plate or a tube to avoid this effect. I had enough problem with a metre high table, felt covered to the edge, which was at 90° and zero radius. I didn't want to lose my credibility

Writing Wikipedia-proof, un-ambiguous questions is not easy, as anyone who has submitted a challenge knows.

SlideRuler (correct to two decimal places only)

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#50
In reply to #47

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 4:28 PM

Many thanks SR. I think it is a significant contribution, albeit in the wrong thread (which makes it more than one up on the academic sites I've found). More Kudos.

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#23

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 6:25 AM

15 minutes:

cut a link off the 2 segment and weld it to join 30 + 20 (3 min)

cut remaining link of 2 segment and weld it to join 17 + 51 (3 min)

break the three segment into 3 open links (3 mins)

weld to successively join 13, 9 and 6 sigments to the accumulating segment (6 mins)

total: 15 mins

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#24

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 6:36 AM

13 minutes

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#26
In reply to #24

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 6:42 AM

the proof it takes 3 cuts to separate the 2 and 3 link bits into open links = 3 minutes then two minutes each to make 5 connections =10 minutes total 13

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#28
In reply to #26

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 7:43 AM

If he's cutting with a jeweller's saw it will probably take as long to cut two links in one go as separately - even if we discount any additional clamping time.

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#30

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 8:37 AM

18 for a full circle (continuous)

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#32

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 9:30 AM

21

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#40

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 1:13 PM

I don't car how long it takes. I get paid by the hour.

Besides half the bragging point behind jewelery is the outrageous cost any way.

And do you really want the fastest guy doing the work on expensive items?

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#41
In reply to #40

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 1:35 PM

No, I want the best quality. Which means finding the best (and probably therefore busiest) jeweller. So he'll want to minimise the time he takes.

Plus, planning for minimum disruption to pre-existing material is part of the skill of doing a first-class job.

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#61
In reply to #41

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 7:36 PM

That may apply in jewelery but from first hand experience with the pinheads in every other service industry I have been a part of the guy who gets the most done is nine times out of ten the sloppiest and usually has far lesser quality in his work than the guy who took more time and did it right the first time.

Myself as an example. I know I am no where near the fastest person in my fields of expertise. However I am known for being near the very top in the quality of the work I turn out.

If I did the chain it would take me 30 minutes but you could pull a truck with it when I am done!

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#64
In reply to #61

Re: Chain Links: CR4 Challenge (10/27/09)

10/29/2009 5:20 PM

Depending on the task, I can be fastest or slowest. If it is a where repetition makes you expert, I will be the slowest - and also not provide the highest quality.

(Recently, I have had the good fortune to employ an interoor decorator who worked as fast as any I have ever seen - and still produced a first-cloass finish)

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#43
In reply to #40

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 2:11 PM

I don't give a damn either !

Hey TMC, got a question for you:

Where do they post the correct answers to previous questions? All I see when clicking the links to previous challenges is just the entire thread, but no "official" good answer.

Yahlasit

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#44
In reply to #43

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 2:33 PM

They post the "official" answer in the same posting as the original challenge (between the challenge itself and its reply button). Sometimes it is later than promised. At least equally often it is incorrect.

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#51
In reply to #44

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 5:32 PM

Oh boy, waiting for a wrong answer sounds pretty disapointing, but thanks anyway.

Yahalsit

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#45

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 2:36 PM

8 segments:

7 Cuts X 1 = 7

7 Welds X 2 = 14

Total time = 21 minutes

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#52

Re: Chain Links: CR4 Challenge (10/27/09)

10/27/2009 7:00 PM

21 minutes.

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#53

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 1:06 AM

The answer seems to be obvious at 21 mins but is there a catch?

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#54

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 3:24 AM

13 mts

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#57

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 1:18 PM

7 minutes.

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#62

Re: Chain Links: CR4 Challenge (10/27/09)

10/28/2009 8:36 PM

15 minutes

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#65

Re: Chain Links: CR4 Challenge (10/27/09)

11/11/2009 12:10 AM

there are 8 segments and each segment has to be opened(1 minute) and closed again (2 minutes); it needs in total 8 times 3 minutes also 24 minutes to complete the task.

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#66
In reply to #65

Re: Chain Links: CR4 Challenge (10/27/09)

11/11/2009 6:13 AM

aah - so sweet...

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#67

Re: Chain Links: CR4 Challenge (10/27/09)

11/12/2009 12:30 AM

a chain is closed - like the surface of the earth; unclosed its just a string!

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#68
In reply to #67

Re: Chain Links: CR4 Challenge (10/27/09)

11/12/2009 5:15 AM

Show me your evidence. Every dictionary I can find says otherwise.
E.g.
Webster - "1a: a series of usually metal links or rings connected to or fitted into one another and used for various purposes"
Oxford: "noun:1 a connected series of metal links used for fastening or pulling, or as jewellery"

Other than this, a "chain" is a unit of linear length. It is perhaps the most important such measure on the planet - the distance between wickets in cricket, the original standards for a football pitch (5 chains x 2.5 chains, and 0.5 chains between goal mouth and the penalty spot - now regrettably adjusted and metricated), and the much-corrupted source dimensions for a baseball square (4-chains x 4-chains, and pitcher-to-striker 2-chains)

Are you confusing "chains" and necklaces?

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#69
In reply to #68

Re: Chain Links: CR4 Challenge (10/27/09)

11/12/2009 9:27 PM

I think it's a philosophical reference to string theory - of which when I last looked there seemed to be 5 - not 8, but they were all longer than 3 minutes.

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#70
In reply to #68

Re: Chain Links: CR4 Challenge (10/27/09)

11/12/2009 11:53 PM

we are at the jewellery - not at the hells angels!

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#71
In reply to #70

Re: Chain Links: CR4 Challenge (10/27/09)

11/13/2009 7:57 AM

In jewellery they talk about necklaces and bracelets, at least part of which which must be closable into a loop or ring.

But even in jewellery a chain need not be closable into a loop. Watch chains are a well-known example of a jewellery chain that was not normally closed into a loop.

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Although we all have considerable sympathy with Humpty*, excessively idiosyncratic use of English (oh rose, where art thou) is not helpful in a technical forum.

*"When I use a word," Humpty Dumpty said in rather a scornful tone, "it means just what I choose it to mean -- neither more nor less."

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#72
In reply to #71

Re: Chain Links: CR4 Challenge (10/27/09)

11/13/2009 8:29 PM

Indeed Fyz, and a Guest that leads a post with "Show me your evidence" is a coward. No more no less.

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#73
In reply to #72

Re: Chain Links: CR4 Challenge (10/27/09)

11/14/2009 6:59 AM

Thank you for your vote of confidence. I was that guest - there was a system issue. Perhaps I should have delayed posting until it went away.

BTW, I couldn't quite make out your string-theory reference. Are there any open references that would help?

P.S. But I suppose you could say that hiding behind any alias is cowardice. I prefer the euphemism " valuing my privacy".

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#74
In reply to #73

Re: Chain Links: CR4 Challenge (10/27/09)

11/14/2009 6:07 PM

That would be an "ooops" (on my part ) - then again it illustrates the value of an avatar in interpreting thrust and nature of a post.

Ref 'ps'; there is a great difference between "avatar alias" (often quite necessary) and the zero at risk of "anonymous guest "

Ref string theory, surprisingly this is quite good - http://en.wikipedia.org/wiki/String_theory

And apparently I am out of date; there appears to be 6 at the Wiki minute.

I was very excited about this maybe 10 years ago, or was that 20. I'd be quite interested to see if you come to a similar conclusion on what overall conceptual non-acceptance is in the way of the thinking/solving.

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#75
In reply to #74

Re: Chain Links: CR4 Challenge (10/27/09)

11/15/2009 1:07 PM

Hi Kyzine

I'm familiar with most of that.
Most of the results I have found interesting (perhaps that should be comprehensible?) can be obtained in 6 complex dimensions, with the three+time being the observables.

What I missed was the connection with chains - unless you were casting chains as strings of pearls (before this swine-that-'flu).
BTW, given that I keep any intelligence I may have in my hands (it's moved up-and-outward somewhat over the years) some of my wife's jewellery does seem to have a remarkable resemblance to the unidimensional strings of string theory, in that the only place they can be undone is in my brane hands - and they miraculously refasten as soon as they leave them (and, at least so long as this remains the case, man will not be totally superfluous to the human species)

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#76
In reply to #75

Re: Chain Links: CR4 Challenge (10/27/09)

11/15/2009 7:55 PM

LOL, at your last Fyz

"What I missed was the connection with chains" - Hardly surprising as it was tenuous at best. I "decided" Williams 'string' comment meant; a link when cut, is no longer a continuum, but still may be termed 'a link' - to be analogous to string theory "argument", or as I like to call it "mathosophiser's"

I.e. is a "gap" ~= "unobservable continuum"?

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#77
In reply to #71

Re: Chain Links: CR4 Challenge (10/27/09)

11/15/2009 11:45 PM

today's watch chains are normally closed with the watch in the middle of the chain and the lock on the other side of the circle/loop or what ever you/we may call it.

inside the (mecanical) watch there's a series of gearwheels (every driven by the next of it) - but that is not a chain.

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#78
In reply to #77

Re: Chain Links: CR4 Challenge (10/27/09)

11/16/2009 5:03 AM

Can you tell me what you believe is the correct term for a series of linked elements that may or may not not form a loop? In common with English and American dictionaries (see previous postings) and watch + chain illustrations, I call this a chain.
Of course some chains form loops, and indeed some form loops with pendants; but the term chain includes all sequences of linked elements, not just those that are loops.

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#79
In reply to #78

Re: Chain Links: CR4 Challenge (10/27/09)

11/16/2009 5:47 AM

"some form loops with pendants" , ,

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#80
In reply to #79

Re: Chain Links: CR4 Challenge (10/27/09)

11/16/2009 7:06 AM

should I have written pedants?

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#81
In reply to #80

Re: Chain Links: CR4 Challenge (10/27/09)

11/16/2009 7:18 AM

ROLMFAO - Twice! - No - still going - it's multiple. Top riposte Fyz!!!!!!

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#82
In reply to #78

Re: Chain Links: CR4 Challenge (10/27/09)

11/16/2009 11:49 PM

and a chain of people - i dont' know the correct term for an open loop of elements, in my eyes its only a harder string, rope or cable - and all these things are made of chains of atoms or molecules.

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