XY-wing pincers as a strong link

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Re: XY-wing pincers as a strong link

True, if an inference is not reversible, it is not an AIC.

JasonLion
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Location: Silver Spring, MD, USA

Re: XY-wing pincers as a strong link

JasonLion wrote:True, if an inference is not reversible, it is not an AIC.

Thank you, I will look for an example of what I am driving at.

Keith
keith
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Posts: 216
Joined: 03 April 2006

Re: XY-wing pincers as a strong link

I have written down the basics of the idea here:

Using Wing Pincers as a link in a Skyscraper or Kite

Keith
keith
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Joined: 03 April 2006

Re: XY-wing pincers as a strong link

Code: Select all
`+-------------------+-------------------+-------------------+| 2     8     69#   | 1     56#   59    | 34    34    7     || 39    1     5     | 7     4     39    | 6     8     2     || 367   467   346   | 23    26@   8     | 9     1     5     |+-------------------+-------------------+-------------------+| 5     23467 34-6  | 36@   9     137   | 123   237   8     || 379   37    8     | 4     15    2     | 15    379   6     || 1     2367  369   | 356   8     357   | 235   2379  4     |+-------------------+-------------------+-------------------+| 68    56    7     | 9     125   15    | 248   24    3     || 4     9     2     | 8     3     6     | 7     5     1     || 38    35    1     | 25    7     4     | 28    6     9     |+-------------------+-------------------+-------------------+`

Discontinuous Nice Loop: 6 r4c3 -6- r4c4 -3- r3c4 -2- r3c6 -6- r1c5 =6= r1c3 -6- r4c3 => r4c3<>6

is what you are doing,
if you wanted the all encumbering name for them

paste the following into hodoku or Xsudo
to see the above elimination
Code: Select all
` .---------------------------------.---------------------------------.---------------------------------.| 12345789   12345789   123456789 | 12345789   123456789  12345789  | 12345789   12345789   12345789  || 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 || 123456789  123456789  123456789 | 23         123456789  26        | 123456789  123456789  123456789 |:---------------------------------+---------------------------------+---------------------------------:| 123456789  123456789  123456789 | 36         123456789  123456789 | 123456789  123456789  123456789 || 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 || 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 |:---------------------------------+---------------------------------+---------------------------------:| 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 || 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 || 123456789  123456789  123456789 | 123456789  123456789  123456789 | 123456789  123456789  123456789 |'---------------------------------'---------------------------------'---------------------------------'`
Some do, some teach, the rest look it up.

StrmCkr

Posts: 965
Joined: 05 September 2006

Re: XY-wing pincers as a strong link

StrmCkr,

You seem to miss my point. I am not trying to find out what others might call this, and I am not seeking to have some pattern named in my honor. (I already have that, with M-wings.)

My goal is to describe a recipe or process that is relatively easy for pencil and paper solvers, and is quite effective. It has been already pointed out that most on this site are not interested.

It has never occurred to me that I should understand what a discontinuous nice loop is, and that is because then it would be useful to me in solving puzzles manually in my arm chair.

The other point that the "everything is an AIC" crowd seems to miss, is that if you take the pincers of an XY-, W-, M-wing, etc., you are back in the world of single-digit eliminations: n-fish, turbots, simple coloring, etc. You know, all that stuff which is very useful to human solvers and almost useless for computer programmers.

Keith
keith
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Posts: 216
Joined: 03 April 2006

Re: XY-wing pincers as a strong link

Keith

Defiantly did not miss your point, I'm both a manual solver and a programer... Having diffrent ways of find move sets in a tool box is great and I do love the shortness easier way of identifying it.

I just Figured i could provide a name for what covers it, just like continuous and discontinuous nice loops also covers "wings", but they can be sub categorys for simplicity. (for those that do code)

Cheers
Strmckr
Some do, some teach, the rest look it up.

StrmCkr

Posts: 965
Joined: 05 September 2006

Re: XY-wing pincers as a strong link

StmCkr,

Sorry for my misinterpretation.

I was struck this morning by finding three connected strong links, and finding they were single-digit coloring, a kite, and an M-wing, all at the same time. The same component cells, the same pincers and the same eliminations.

Keith
keith
2017 Supporter

Posts: 216
Joined: 03 April 2006

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