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What is the accepted term for a Pan Set?

 
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Glassman



Joined: 21 Oct 2005
Posts: 50
Location: England

PostPosted: Thu Nov 03, 2005 4:00 pm    Post subject: What is the accepted term for a Pan Set? Reply with quote

A shop sign in the next town:

MAZ FABRICS Specialists in MINK BLANKETS & PAN SETS

What more can you possibly want out of life?

I call this a pan:
Code:
 . . . 6 . .
 1 . 5 . . .
 2 3 4 . . .


This a double pan:
Code:
 . . . 5 6 .
 1 . 4 . . .
 2 . 3 . . .


and this a triple pan, or Pan Set:
Code:
 . . . 4 5 6
 1 . . . . .
 2 . 3 . . .


What is the accepted term for these?

Glassman 8)

... and this "Oops, I've got it wrong!":
Code:
 . . . 5 6 7
 1 . 4 . . .
 2 . 3 . . .
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David Bryant



Joined: 29 Jul 2005
Posts: 559
Location: Denver, Colorado

PostPosted: Thu Nov 03, 2005 4:36 pm    Post subject: I don't know what they're called Reply with quote

Very nice analysis and presentation, Glassman. Thanks!

I don't know of a name for these formations, although I have noticed them, and I rely on them heavily when they're present in a puzzle.

Personally I had been thinking of your second instance -- the "double pan" -- as a "tunnel." But that's just me. dcb
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alanr555



Joined: 01 Aug 2005
Posts: 193
Location: Bideford Devon EX39

PostPosted: Sun Nov 06, 2005 1:04 am    Post subject: Re: I don't know what they're called Reply with quote

Code:

> I don't know of a name for these formations, although I have noticed
> them, and I rely on them heavily when they're present in a puzzle.

- - - 5 6 7
1 - 3
2 - 4

What are the attributes of these pans?
What use are they besides in "Painting by Numbers?"
What is the benefit of relying on them?

The example would seem to be an impossible position as the top row of
the left box must contain 8, 9 and one other digit but seven are logically
linked (by row - 567- and region -1234-).

Are these "pans" just a combination of the normal interactions between
rows, columns and regions or are different forces at work?

Alan Rayner  BS23 2QT
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David Bryant



Joined: 29 Jul 2005
Posts: 559
Location: Denver, Colorado

PostPosted: Sun Nov 06, 2005 2:14 am    Post subject: Re: I don't know what they're called Reply with quote

AlanR555 wrote:
The example would seem to be an impossible position ...

Of course it's impossible. Glassman was making a little joke.

AlanR555 wrote:
Code:
- - - 5 6 7
1 - 3
2 - 4


What are the attributes of these pans?
What use are they besides in "Painting by Numbers?"
What is the benefit of relying on them?


Usually when I spot Glassman's "single pan" I start thinking in terms of filling in one cell so that it will become a "double pan."

Here ... let's revise the impossible example just a little bit.
Code:
- - - - 6 7
1 - 3
2 - 4

In this example the left hand 3x3 box is practically completed already just because of the geometry of the situation. We know that the pair {6, 7} must fit in the second column, in between the {1, 2} and {3, 4}, and the triplet {5, 8, 9} must appear in the top row of the left hand 3x3 box.

Whatever you call these formations, they're very helpful in solving a great number of puzzles. dcb
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dotdot



Joined: 07 Dec 2005
Posts: 29
Location: oberseen

PostPosted: Sat Dec 10, 2005 2:34 pm    Post subject: and pitchforks Reply with quote

I would say you see these as pans because the lid is missing.

The constellation seems less powerful the more you know about the shared triplet.
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