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 Forum index » Archive » Archive: Perplex City » PXC: Puzzles
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DarkHuman
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Joined: 19 Apr 2006
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Location: Florida

i just broke out my risk. My first impression is that there are 42 number strings, and 42 territories.
could the strings just be the number of armies that are in each territory?
could the last numbers be the quadrents the territories are in?
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PostPosted: Sun Nov 26, 2006 10:15 pm
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rose
...and then Magic happens


Joined: 26 Nov 2003
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I congratulated ilikepucks in the other thread. Well done and thanks!!

As for:

Quote:
I figure the odds of me finding the cube are slim...so I'll be content in knowing that even if I don't find the cube myself, I at least maybe did something that helped find the cube. And who knows maybe the winner will send a small cut of the prize my way... Wink

Now it's time to work on the rest of these numbers.


I think that everyone feels the odds of them finding the Cube are small and the odds of someone else finding it is high. I think this has, understandably, lead to some inertia in solving the Cube puzzles. But I don't think the idea that the odds are slim should stop anyone from joining in the fun of the puzzle solving and Cube hunting. It is a game, let us have fun with it.

Way to go ilikepucks and keep going. Smile
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PostPosted: Mon Nov 27, 2006 10:35 am
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isca
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Joined: 15 Apr 2006
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Location: Newport, Wales

rose said:
Quote:
But I don't think the idea that the odds are slim should stop anyone from joining in the fun of the puzzle solving and Cube hunting. It is a game, let us have fun with it.


What! There's a cube?!

PostPosted: Mon Nov 27, 2006 2:16 pm
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ellrabin50
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starting lineup

my first post, hope it's a good one (been lurking for too long):

Knowing what I do about Risk, I would suggest that the order of the initial numbers looks like the opening setup of the game where each player takes a turn setting up pieces on their territories. Setup of this game is a very sizeable portion of its strategy, so if the middle numbers do actually signify territory ownership during the game then possibly by following the strings in turn and considering longer strings as more desireable territories that make or break an empire, we might be able to deduce the starting pattern. I know this has been stated before, but the reason it seems more important now is that watching your opponents setup in turns heavily influences how you choose your starting positions.

The next step: make 42 cut-outs with the strings printed on them and physically try to place them on the Risk map in a logical pattern mimicking the opening sequence of a Risk set-up.

P.S. I seriously doubt that the middle numbers represent the number of armies on a territory as there can be many more than four armies occupying each territory and generally there are at least two such large defensive stands after the first turn or so.

P.P.S. I just solved the "ticks" puzzle about 30 min. after I realised "hey there's a new LOB site!" I just wish I'd seen it on Thursday, it was a holiday here in the USA.

PostPosted: Mon Nov 27, 2006 11:35 pm
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isca
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We are assuming that Risk is the place to apply these strings. Are there any other board games played in a similar vain? We know the numbers can't be rolls of the dice as there are no 6's. How about Dungeons&Dragons or Axis&Allies?

Alternatively, can we apply these strings to the territories or police precincts of Perplex City?

Having 42 in the Risk game and as part of the strings seems a coincidence - after all, card no. 69 is
Spoiler (Rollover to View):
42
and card no. 42 is
Spoiler (Rollover to View):
Rompechabezas
....and what does that mean?

PostPosted: Tue Nov 28, 2006 2:27 pm
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rose
...and then Magic happens


Joined: 26 Nov 2003
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Quote:
P.S. I seriously doubt that the middle numbers represent the number of armies on a territory as there can be many more than four armies occupying each territory and generally there are at least two such large defensive stands after the first turn or so.


My idea is that the numbers represent which player controls the territory at any given time. The reason this is important is that you need to control a territory in order to move through it.

I haven't yet disproved this theory so that is what I am working on now.
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PostPosted: Tue Nov 28, 2006 3:05 pm
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Scott
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isca wrote:
We are assuming that Risk is the place to apply these strings. Are there any other board games played in a similar vain? We know the numbers can't be rolls of the dice as there are no 6's. How about Dungeons&Dragons or Axis&Allies?


I was sort of thinking along these lines earlier. like, why have we glombed onto risk with such veracity? there are a number of coincidences which work out, but there's a lot that we can't place offhand. I wouldnt think D&D is the game at play, cos there's only a fFew things which use d4.


I looked up Rompechabezas, in the past, and I believe it is portugeuse fFor 'puzzle'.
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PostPosted: Tue Nov 28, 2006 6:24 pm
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FairmontKing
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I believe there are too many coincidences with Risk to discount it. To recap:

Risk symbols/dice on cards
42 strings = 42 Risk territories
Start of strings: 11 1's, 11 2's, 10 3's, 10 4's = Same as disribution of territories at start of 4 player risk
End of strings: 14 1's, 9 2's, 7 3's, 12 4's = Corresponds to # of territories in SA/Africa/Australia combined, NA, Europe, Asia repectively.

If the 1st and last numbers represent start and finish ownership by each of four players, then it is likely that the middle string represents ownership history. A logical puzzle would be to determine the starting positions of the countries in a game where each player ends up controlling either Asia, Europe, NA, or S. Hemisphere.

Based on the pairings of the first/last numbers in each string, the initial territory ownership distribution would be:
Player 1 (eventually takes over S.Hemi): 1 NA, 2 EU, 4 Asia, 4 S.Hemi
Player 2 (eventually takes over NA): 4 NA, 1 EU, 4 Asia, 2 S.Hemi
Player 3 (eventually takes over EU): 2 NA, 1 EU, 3 Asia, 4 S.Hemi
Player 4 (eventually takes over Asia): 2 NA, 3 EU, 1 Asia, 4 S.Hemi

I decided to play out a risk game where I started with a board layout that met the above requirements and then had each player win their continent(s). I would record the ownership history to see if looked remotely like the strings in length and/or number distribution.

The first step was distributing territories to each player as constrained above. I tried to make it more interesting by having no adjacent territories owned by the same player (classic 4-color map puzzle). Incidentally, it cannot be done (can't have four Player 2's crammed into NA without touching unless you cheat and ignore the water connection to Greenland).

Next step was to place the balance of each player's starting 30 armies in each territory. Hmmm.... If it was a cooperative effort between the 4 players to each control a continent, then each player would place all their armies in the continent(s) they were after and leave just one army in each territory they didn't care about. The 'game' would be over in one round.

This leads me to one of two conclusions:
1) It was not a cooperative effort and each player was truly trying to win. The players got extremely lucky and just happened to find themselves each owning a continent(s) at some point in the game. As others have stated, this is very unlikely if the players were using good strategy.
2) There was some other 'rules' put in place to make the cooperative effort more of a challenge (i.e. "armies must always be distributed equally" or "can't have more than 5 armies per territory", etc.).

So I can't continue with my game until I resolve this as it affects the strategy the players would use to place their initial armies. I am currently leaning toward 2), but have not gone any further. Would appriciate any comments. Sorry for the long post.

PostPosted: Wed Nov 29, 2006 12:25 am
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colin
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FairmontKing wrote:

This leads me to one of two conclusions:
1) It was not a cooperative effort and each player was truly trying to win. The players got extremely lucky and just happened to find themselves each owning a continent(s) at some point in the game. As others have stated, this is very unlikely if the players were using good strategy.
Maybe the question is: Is this recording a game, or a puzzle trying to tell us something?

If we're trying to solve a puzzle to get some useful information at the end, maybe stratergy should be ignored, as that's the players prerogative, not the rules of risk.

I think the rules of risk are being used as a frame work for the code, in which case we should stick to the rules, and as a starting point try to attribute player actions in a very simple way, such as claiming continents.

PostPosted: Wed Nov 29, 2006 1:38 am
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Scribe
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Joined: 09 Jun 2006
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I think it's dangerous to assume that just because there's a match of 42, we're looking at a complete game.

Perhaps there *is* some connection with Risk - or, rather, the territories used in Risk, but we're supposed to do something else with them.

*Goes off to look for a list of territories*
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PostPosted: Wed Nov 29, 2006 6:16 am
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aliendial
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Yeah - following this line - is there a way to assign a territory to each of the cards?

But note - not all the number strings are the same. May mean less activity around a particular territory, but some have periods in them. What could that mean? And what about the .5s?
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PostPosted: Wed Nov 29, 2006 10:00 am
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rose
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So my take on this is that it wasn't a "game" but a puzzle. A puzzle that is saying, this is how the board ended up - with each player owning a continent, so what initial conditions of territories being held and what battles would be needed to get to this endpoint.

This would result with us knowing which string goes with which territory.

No idea if this is the way to go or not.
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PostPosted: Wed Nov 29, 2006 6:57 pm
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ellrabin50
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Joined: 29 Nov 2006
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 I had an epiphany
or maybe just gas.....

Quote:
So my take on this is that it wasn't a "game" but a puzzle. A puzzle that is saying, this is how the board ended up - with each player owning a continent
My thoughts exactly.

I think I just had an epiphany, but it might be gas Laughing

If you take these assumptions:
1. The initial numbers are player numbers (hence the 1234 pattern)representing starting positions.
2. The final numbers are also player numbers representing ending positions.
3. The quantity of final territories for each player signifies continental ownership at the end of the game

We can then state:
1. Nobody won. Per the rules this game is still in play.
2. If this is actually a game, all four players are either cooperating at the end or have similar and non-conflicting agendas to gain continental control.

Using this, I draw the conclusions that:
1. This game might be played by the rules of Risk, but the players are not trying to compete with each other.
2. The answer that we are supposed to get from this must be contained within or delivered via the part of the game that has been played "between the dashes".

The epiphany (I hope):
1. The numbers between the dashes do not signify territory ownerships as seems to be the popular theory (I just gave it up myself), but signify paths (of original ownership) through which the initial territories had to move to get to the ending state. I.E-If all of the players' initial territories are permanently marked at the start with their owners' number, perhaps the center numbers denote the path those pieces have to move through to get to their ending position.

2. These resultant paths would reveal the data(answer) that we're meant to receive.

3. The .5's may represent moves that had to backtrack to the previous territory or moves over a sea-line. (i.e. xx3.52xx would be from 3 to 2 via sea-line)

Think of this theory like a hidden-word puzzle where we have to draw the puzzle from the words.

Unfortunately, I don't have much time to try this theory. If it makes sense, could somebody check into it ? Sorry for the long post, but it just came to me on the way home from work and I had to share. Feel free to copy and repost this anywhere you think it will be helpful and if you find the cube before me, I take donations via PayPal Wink

PostPosted: Wed Nov 29, 2006 11:11 pm
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FairmontKing
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Re: I had an epiphany
or maybe just gas.....

ellrabin50 wrote:
I.E-If all of the players' initial territories are permanently marked at the start with their owners' number, perhaps the center numbers denote the path those pieces have to move through to get to their ending position.


Good thought, but the number of start territories for each player does not match the number of end territories. But it could be something similar...

PostPosted: Thu Nov 30, 2006 12:00 am
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rose
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I'm still looking at the number strings from the point of view of the territory. That is the string might say who controls or possilby who is attacking the territory at any point in time. My idea is that the .5 is a withdrawn attack, but I am open to others.
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PostPosted: Thu Nov 30, 2006 1:19 am
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