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Offline entropi
 Post subject: how many and which stones do you have to move ...
Post #1 Posted: Wed Jul 20, 2011 4:02 am 
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... so that the pyramid is upside down?

Click Here To Show Diagram Code
[go]$$B
$$ -----------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . O . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . O . O . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . O . O . O . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . O . O , O . O . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ----------------------------------------[/go]

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Offline topazg
 Post subject: Re: how many and which stones do you have to move ...
Post #2 Posted: Wed Jul 20, 2011 4:09 am 
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The 3 corner ones

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Offline lorill
 Post subject: Re: how many and which stones do you have to move ...
Post #3 Posted: Wed Jul 20, 2011 4:38 am 
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None. I'd turn the board.

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Offline Dusk Eagle
 Post subject: Re: how many and which stones do you have to move ...
Post #4 Posted: Wed Jul 20, 2011 5:07 am 
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lorill wrote:
None. I'd turn the board.

We have a winner!

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Offline lefuet
 Post subject: Re: how many and which stones do you have to move ...
Post #5 Posted: Wed Jul 20, 2011 5:29 am 
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Dusk Eagle wrote:
lorill wrote:
None. I'd turn the board.

We have a winner!

does it not move all the stones? or if you only turn the board the pyramide is still upside. ;)
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Offline daniel_the_smith
 Post subject: Re: how many and which stones do you have to move ...
Post #6 Posted: Wed Jul 20, 2011 5:36 am 
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Just walk to the other side!

Serious answer:
Three, and I think there are three possible locations where the resulting shape could be. (i.e., there's three ways to do it)

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Offline entropi
 Post subject: Re: how many and which stones do you have to move ...
Post #7 Posted: Wed Jul 20, 2011 5:48 am 
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daniel_the_smith wrote:
Just walk to the other side!


or try a headstand :)
daniel_the_smith wrote:
Serious answer:
Three, and I think there are three possible locations where the resulting shape could be. (i.e., there's three ways to do it)


Three is correct but I see only one way to do it and the resulting shape is always at the same position. Maybe I am mistaken. Which stones do you mean?

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Offline LocoRon
 Post subject: Re: how many and which stones do you have to move ...
Post #8 Posted: Wed Jul 20, 2011 6:13 am 
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None; once placed, a stone may not be moved (except when captured). That is the weight of a stone.



:P


That aside, this puzzle was in one of the Lufia RPGs on SNES. Haven't forgotten it since then. :)
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Offline daniel_the_smith
 Post subject: Re: how many and which stones do you have to move ...
Post #9 Posted: Wed Jul 20, 2011 6:21 am 
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Like this:

Click Here To Show Diagram Code
[go]$$B
$$ -----------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . O . W . W . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . O . O . W . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . O . O . O . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . C . C , O . C . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ----------------------------------------[/go]


...oh, I guess I don't visualize well prior to coffee. :oops:

You're right, just one way then.

Click Here To Show Diagram Code
[go]$$B
$$ -----------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . C . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . W . O . O . W . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . O . O . O . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . C . O , O . C . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . W . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ----------------------------------------[/go]


I must have seen this before, because I just knew this was the answer...

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Offline Kirby
 Post subject: Re: how many and which stones do you have to move ...
Post #10 Posted: Wed Jul 20, 2011 6:27 am 
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Well, there are 6 ways. They just happen to be in the same location.

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Offline entropi
 Post subject: Re: how many and which stones do you have to move ...
Post #11 Posted: Wed Jul 20, 2011 6:35 am 
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Kirby wrote:
Well, there are 6 ways. They just happen to be in the same location.


Hehe, this would be true if the stones were numbered or of different colors :)

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Offline Kirby
 Post subject: Re: how many and which stones do you have to move ...
Post #12 Posted: Wed Jul 20, 2011 6:40 am 
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entropi wrote:
Kirby wrote:
Well, there are 6 ways. They just happen to be in the same location.


Hehe, this would be true if the stones were numbered or of different colors :)


I guess it depends on what you consider to be a different way. :-) To me, moving the bottom stone to the top right is a different action than moving the same stone to the top left.

But, yes, I am kind of trolling.

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Offline lefuet
 Post subject: Re: how many and which stones do you have to move ...
Post #13 Posted: Wed Jul 20, 2011 6:45 am 
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entropi wrote:
Kirby wrote:
Well, there are 6 ways. They just happen to be in the same location.


Hehe, this would be true if the stones were numbered or of different colors :)

then moving 3 stones would not be enough tu turn the pyramid upside down ;)

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Offline entropi
 Post subject: Re: how many and which stones do you have to move ...
Post #14 Posted: Wed Jul 20, 2011 7:11 am 
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lefuet wrote:
entropi wrote:
Kirby wrote:
Well, there are 6 ways. They just happen to be in the same location.


Hehe, this would be true if the stones were numbered or of different colors :)

then moving 3 stones would not be enough tu turn the pyramid upside down ;)


you speak truth :)

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