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Another very hard one for P&P solvers
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TKiel



Joined: 22 Feb 2006
Posts: 292
Location: Kalamazoo, MI

PostPosted: Wed Aug 15, 2007 11:50 pm    Post subject: Reply with quote

Quote:
After giving it a bit of thought, I'm pretty sure a "Color Wing Wrap" is not logically possible.


It seems to me the term 'color wrap' is applied when a simple coloring chain 'wraps' around on itself and shows two of the same polarity in the same group, which we know then must be the false polarity. This actually makes an assignment of a digit as opposed to an exclusion. What about a situation where each polarity from one chain shares a group with one polarity from a second?

Code:

*-----------------------------------------------------------*
 | 4     8     27A   | 127B  1279  1279  | 6     3     5     |
 | 1     9     6     | 345   34    35    | 7     8     2     |
 | 27a   5     3     | 6     278   278   | 4     9     1     |
 |-------------------+-------------------+-------------------|
 | 8     3     4     | 127b  127   6     | 12A   5     9     |
 | 27A   17    9     | 8     5     4     | 3     12a   6     |
 | 5     6     12    | 9     123   123   | 8     4     7     |
 |-------------------+-------------------+-------------------|
 | 6     147   8     | 45    1247  1257  | 9     12A   3     |
 | 3     2     17    | 17    89    89    | 5     6     4     |
 | 9     14    5     | 34    6     123A  | 12a   7     8     |
 *-----------------------------------------------------------*


We know that the A cells must be false as they see both ends of the B-b chain. How is this not one chain 'wrapping' around on the other? How can it matter how many chains are involved? It seems to be a matter of splitting some very fine hairs to limit the term to only simple coloring. Just because nobody ever used it in that context before doesn't mean that it can't or shouldn't apply.

(See here for the entire thread).
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Thu Aug 16, 2007 6:54 am    Post subject: Reply with quote

Tracy,

I concede that the example you have presented can be viewed as using a "wrap" type of reasoning. However, all of the eliminations can be justified using only the "Color Wing" logic. For instance, based on the AB bridge in R1, the <2> at R4C7 is eliminated since is "sees" both "a" and "b". Also, you could have colored the <2> at R6C3 as "a", resulting in elimination of the <2>s in R6C56. (This is just a Skyscraper, which is often a form of "Color Wing.") In either case, all of the "A" <2>s vanish as a consequence.

I thought you were claiming that there could be a multi-cluster "wrap" that would create eliminations that were different from any that would result by applying the Color Wing concept. I'm still not sure that such a creature exists.

But, I await a counter-example!
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