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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Silver Puzzle Cards
[Puzzle] Silver #238 Riemann
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb
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ramsfan
Decorated

Joined: 07 Sep 2005
Posts: 232
Location: holmfirth, yorks

Got to see this card at last. On my friend's version there's a tiny mark about half way along the top margin. He says it looks a bit like a city scape when magnified using photoshop. Time to get the microscopes out? Ruminating on the white city. I thought of the London Oympics which took place there. The Clay Institute do run Mathematical Olympiads but no real connection. He thought of the White City in Lord of the Rings. When you google White City, you get a book called the Devil in the White City about the fair that changed America, a fantasy role playing game called white city, somewhere in New Mexico and lots more.
I wondered what could be submitted that would be markable. I thought a complicated mathematical formula would be hard so I wondered if something like this sentence from the clued website: "The failure of the Riemann hypothesis would create havoc in the distribution of prime numbers"
My friend drew my attention to the tube map on "card" number 268 which has recently accompanied card batches. It has a black zeta shaped area, two orange lines which look like an equals etc. Also the tube lines are names of inks. Wouldn't go with the self contained nature of the cards, but still.
I looked up 3333s because of tretretretres. Apart from some college football there was a software website that I couldn't enter. I googled tretretretres. Apart from perplexcity, there were some french messages where it appeared to mean very tres in patois and a spanish basketball site where the next entry suggested mickey taking along the lines of I am stammering, so I don't think it meant anything.
Some things to chew on but no answers. However do check if you've got that little smudge at the top of the card in case it means anything.
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PostPosted: Wed Nov 23, 2005 11:24 am
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philippa89
Boot

Joined: 12 Nov 2005
Posts: 43

i cant seem to find the smudge your talking about.
where abouts on the top margin is it? on the silver or the black?

PostPosted: Sun Nov 27, 2005 7:00 am
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The First Speaker
Boot


Joined: 18 May 2005
Posts: 55
Location: UK

Don't think this has been mentioned. Has anyone with the card noticed a black dot in the top right corner (in the silver part)? It was the one of the first things I noticed and don't think its a printing error, can anyone else confirm its on their card too?

I also think I can see some sort of hidden text in the grey part above the text, can't make it out yet though.
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"If I were to awaken after having slept for a thousand years, my first question would be: Has Perplex City card #238 been solved?"

PostPosted: Fri Dec 02, 2005 1:39 pm
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timair
Boot


Joined: 13 Dec 2004
Posts: 46
Location: Cambridge-UK 69/333

Re: [UPDATE] A clue!

doublecross wrote:
I submitted my solution to the Riemann hypothesis (well, not actually mine), but it was too long to be accepted by the form. I wrote to Perplexcity.com to say that my 'correct' solution had not been accepted and got the following reply:

Quote:
We suggest that you also submit your proof to the Clay Math Institute (http://www.claymath.org/millennium/Riemann_Hypothesis/), but in the meantime, please see our notes in the margin.



I wonder if they mean the comment in the margin of the FireBox catalogue saying that if you are finding it too hard solving the Riemann Hypothesis that you should try one of their (only) slightly easier puzzles instead.

Maybe we can use the solution of one of those instead?
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PostPosted: Fri Dec 02, 2005 1:51 pm
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c1023
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Joined: 21 Oct 2005
Posts: 58
Location: Hampshire, UK

The First Speaker wrote:
Don't think this has been mentioned. Has anyone with the card noticed a black dot in the top right corner (in the silver part)? It was the one of the first things I noticed and don't think its a printing error, can anyone else confirm its on their card too?


You can see it on the picture of the card in this thread. And also on the Card Catalog. They are different files, but they may have come from the same scan.

I guess it is worth a closer look.

PostPosted: Fri Dec 02, 2005 2:34 pm
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buzman
Veteran


Joined: 12 Aug 2005
Posts: 109
Location: Kingston Upon Thames, UK

I can confirm that my card *doesn't* have the black dot
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PostPosted: Fri Dec 02, 2005 2:45 pm
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lumleysusan
Guest


looking on the webiste given, the CMI have given 7 prize problems - each awarding $1million.
Spoiler (Rollover to View):
These are called Millenium Prize Problems
. Would that be the answer?

PostPosted: Fri Dec 02, 2005 3:14 pm
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Rube2k
Boot

Joined: 28 Nov 2005
Posts: 12

Maybe posting one of those 7 answers would do the trick?

PostPosted: Sat Dec 03, 2005 9:36 am
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GasparLewis
Unfettered


Joined: 19 Nov 2005
Posts: 474
Location: vicinty of NYC

Why don't we try a tautology?
Easiest proofs in the world.

And all it asks for is a proof; not necessarily one for Riemann.
(Doubt it will work at all, but hey, what other leads do we have?)

PostPosted: Sat Dec 03, 2005 1:14 pm
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Kvasir
Boot

Joined: 15 Oct 2005
Posts: 48

buzman wrote:
I can confirm that my card *doesn't* have the black dot


My card does have a black dot. Located just off centre in the circle pattern on the top right corner.

I can also confirm that my copy of the card was not scanned either for the cardcatalogue or the scan in this thread.

PostPosted: Sat Dec 03, 2005 2:38 pm
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spugmeistress
Unfettered


Joined: 22 Feb 2005
Posts: 460
Location: manchester, uk

Judging from the replies people have got from trying to submit proofs, namely that theyre very nice but send them somewhere else, and look in the 'margin' to solve this particular card, I really think we need to go back to what we were saying in the first place, there *must* be some other question on here. I havent got a copy of the card myself so I cant look, and I know other people have been looking but I think we do need to do a detailed search of this card to see what else it could be hiding, whether its special inks or micro dots or anything that could be 'margin'-like. The rest of the card seems to be just one big red herring.
rach =)

PostPosted: Sat Dec 03, 2005 2:39 pm
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locqust
Unfettered


Joined: 14 Oct 2005
Posts: 545
Location: Gloucestershire UK

Well if its microdots its going to be in the top grey margin just above the writing, however the printing process also means the grey is dotted. Im guessing this must be a special ink job not microdots personally.
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PostPosted: Sat Dec 03, 2005 3:05 pm
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The First Speaker
Boot


Joined: 18 May 2005
Posts: 55
Location: UK

There's been some talk about the fact that this card is the only one with a black header which causes the word CITY to stand out. While doing a bit of searching on Riemann and the word city I came across a book by A.C.Clarke called The City and the Stars. This tells the story of a future civilisation that lives within a domed city, known as Diaspar, which they never leave. The book features a mathematician who looks at the distribution of primes and notices a pattern that has since become known as the Ulam spiral. Basically if you start in the centre of a grid and then spiral out highlighting the primes as u go, they have a tendency to fall on diagonal lines. This creates some interesting pictures, see here for more info:

http://plus.maths.org/issue25/features/whirlpool/

No idea if any of this is relevant, but thought it was worth mentioning!

As for hidden messages on the card etc. I'm convinced there's something written in the grey margin at the top. I've been staring at those grey dots for hours now though, so may just be imagining things!! If anyone can get a hi-res scan of that part of the card and take a closer look that'd be great (my scanner is broke Sad )
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"If I were to awaken after having slept for a thousand years, my first question would be: Has Perplex City card #238 been solved?"

PostPosted: Sat Dec 03, 2005 4:00 pm
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rose-nli
Guest


black dot

well damn! My card has the black dot too. So what do we do with it now?

PostPosted: Sat Dec 03, 2005 5:51 pm
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rose-nli
Guest


City in white

Quote:
There's been some talk about the fact that this card is the only one with a black header which causes the word CITY to stand out


I note that the word CITY and all the rest of the type, other than PERPLEX( which seems to be same shade of Purple as it is on the other cards) and the numbers inside the point circles which remain black- is actually white. The color is different - it isn't that it just stands out more becase the header is black.

I don't think our little black dot is going to be explained as a printing error alone. I looked very carefully at all my other silver cards ( which are wave 1) and none of them have a similar dot in any location.

No idea what to do with it though.

PostPosted: Sat Dec 03, 2005 5:57 pm
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