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Old 2011-04-04, 23:41   #1
davieddy
 
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Default Smoker's packing probllem

2D: I resorted to a pack of 20 today.
(Having broken an arm recently, I find rolling up slightly tricky ATM)

They were packed in 3 rows (as usual) but 776 instead of the more
usual 767.
OK fags are a bit squashy so this was conceivably down to transport or storage.
I smoked one from the first 7 row considering the ugliness
of the arrangement, and decided to arrange it better.
Funnily enough I found the remaining 19 stacked appropriately
enough in a neat 676 arrangement.

David

Last fiddled with by davieddy on 2011-04-04 at 23:52
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Old 2011-04-05, 00:20   #2
Uncwilly
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Smoking fags has a completely different meaning in the USA.
As does throwing a bunch of fags into a roaring fire.
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Old 2011-04-05, 02:30   #3
davieddy
 
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Quote:
Originally Posted by Uncwilly View Post
Smoking fags has a completely different meaning in the USA.
As does throwing a bunch of fags into a roaring fire.
THX Unc.

My next installment was going to be the 3D version entitled
"stacking faggots".
(Meatballs to us over here)

David

Last fiddled with by davieddy on 2011-04-05 at 02:35
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Old 2011-04-05, 11:18   #4
Brian-E
 
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Quote:
Originally Posted by davieddy View Post
I smoked one from the first 7 row considering the ugliness
of the arrangement, and decided to arrange it better.
I've heard some good excuses from smokers for having a fag, but that's the best yet. (Not the broken arm, you deserve real sympathy for that.)
Quote:
Funnily enough I found the remaining 19 stacked appropriately
enough in a neat 676 arrangement.

David
Um... is there a puzzle in this somewhere?
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Old 2011-04-05, 11:37   #5
retina
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Quote:
Originally Posted by Brian-E View Post
(Not the broken arm, you deserve real sympathy for that.)
I think it depends upon what he was doing that broke it. Some activities don't deserve any sympathy when things break.
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Old 2011-04-05, 13:22   #6
Richard Cameron
 
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Quote:
Originally Posted by Brian-E View Post
Um... is there a puzzle in this somewhere?

It suggests something close to a puzzle I've been thinking about for some time*

Its a variant of the milkcrate problem: what is the smallest square crate into which bottles can be packed more densely than a square lattice? i'm allowing a crate of other-than-integer side length to make it non-trivial.

It would work with ciggies if ciggies were sold in square packets: its a problem about unit discs within a square. For small numbers of discs the densest packing is a square lattice; for large numbers densest will be hexagonal. I'm asking where the 'crossover' comes.)

Apologies if the answer is well-known: I haven't googled an answer.

Richard

*this means I haven't solved it yet.
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Old 2011-04-05, 14:06   #7
CRGreathouse
 
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Quote:
Originally Posted by Richard Cameron View Post
It suggests something close to a puzzle I've been thinking about for some time*

Its a variant of the milkcrate problem: what is the smallest square crate into which bottles can be packed more densely than a square lattice? i'm allowing a crate of other-than-integer side length to make it non-trivial.
[url]http://www2.stetson.edu/~efriedma/cirinsqu/[/url]
Depending on your interpretation it's either 2 + sqrt(2) or 2 + sqrt(2)/2 + sqrt(6)/2. Scale these by 1/2 if you want diameter 1 instead of radius 1.

Last fiddled with by CRGreathouse on 2011-04-05 at 14:11
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Old 2011-04-05, 14:26   #8
science_man_88
 
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Quote:
Originally Posted by CRGreathouse View Post
[url]http://www2.stetson.edu/~efriedma/cirinsqu/[/url]
Depending on your interpretation it's either 2 + sqrt(2) or 2 + sqrt(2)/2 + sqrt(6)/2. Scale these by 1/2 if you want diameter 1 instead of radius 1.
you sure CRG ? because last I checked changing radius from 1 to .5 means that on average the area taken up is about a quarter and hence you can multiply by 4
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Old 2011-04-05, 15:32   #9
davieddy
 
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Quote:
Originally Posted by retina View Post
I think it depends upon what he was doing that broke it. Some activities don't deserve any sympathy when things break.
Apart from rolling fags, there are other activities which require the
unaccustomed use of my left hand.

OK, as warned, I am half blind, but the cause of the injury was
simply falling over.

David
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Old 2011-04-05, 15:43   #10
retina
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Quote:
Originally Posted by davieddy View Post
Apart from rolling fags, there are other activities which require the
unaccustomed use of my left hand.
Hmm, do we need to find a master debater to discuss this?
Quote:
Originally Posted by davieddy View Post
OK, as warned, I am half blind, but the cause of the injury was simply falling over.
Must have been a really hard fall.
Sympathy shall now be dispensed as is appropriate ... ... oh wait, that was empathy. Let's try again ...
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Old 2011-04-05, 17:06   #11
xilman
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Quote:
Originally Posted by retina View Post
Hmm, do we need to find a master debater to discuss this?
No. just a cunning linguist able to translate between American and English.

Yet more evidence that the old ones are the best.


Paul
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