Sky - Wings (biplane) { Edit: rediscoverd (W-wing)}

Advanced methods and approaches for solving Sudoku puzzles

Sky - Wings (biplane) { Edit: rediscoverd (W-wing)}

Postby StrmCkr » Wed Feb 25, 2009 5:44 pm

I found this intresting simplistic cycle

...posted this to figure out what it was...

Edit: [yes i know its a xy-chain.] {also called W-wing}(thanks ronk)

that exsits between two pairs

where one set is locked into a house that has two polar opposite end points that are also bivalves

where the end points are identical to each other and not alinged in the same house.

the elimination acts similar to that of a skyscraper.

Code: Select all
 
*-----------------------*
 |. .  .|.  . .| . . .|
 |X X  X|. AB .|. BC .|
 |. . BC|. AB .| X X X|
 *-----------------------*
 
=> X <>C

OR

Code: Select all
|Ab  . .| Ab .   . | . . . |
|BC .  .| X   X  X | . . . |
|X X X  | BC  .  . | . . . |
=> X <>C


Code: Select all
 thanks paul for the puzzle!
.---------------.-------------.----------------.
| 6   18    4   | 3   5  2    | 9    7    18   |
| 9-5 189   2   | 4   7  18@   | 58@   3    6  |
| 3   7     58@  | 6   9  18@   | 48-5 14-5 2  |
:---------------+-------------+----------------:
| 4   2     9   | 5   3  6    | 1    8    7    |
| 7   5     1   | 2   8  4    | 3    6    9    |
| 8   6     3   | 7   1  9    | 2    45   45   |
:---------------+-------------+----------------:
| 2   48    578 | 1   6  578  | 458  9    3    |
| 1   389   578 | 89  4  3578 | 6    2    58   |
| 59  3489  6   | 89  2  358  | 7    145  1458 |
'---------------'-------------'----------------'


there is two examples of this function at work:

(5=8)R3C3 - (1|8) R3C6 = (1|8)R2C6 - (8=5)R2C7
=> R2C1, R3C78<>5

OR:

(5=8)R3C3 - (1|8)R1C2 = (1|8)R1C9 - (5=8)R2C7
=> R2C1, R3C78<>5
Last edited by StrmCkr on Thu Feb 26, 2009 3:35 am, edited 7 times in total.
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Postby ronk » Wed Feb 25, 2009 6:41 pm

StrmCkr, it seems you've rediscovered the w-wing. I summarized the w-wing pattern variants here, but don't recall who coined the term.
Last edited by ronk on Wed Feb 25, 2009 2:51 pm, edited 1 time in total.
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Postby StrmCkr » Wed Feb 25, 2009 6:50 pm

i just figured that out befor you wrote the reply ronk.

:(
thanks for the info ronk!

that link will deffintily help me out for varations i never considered befor.

i just finished checking the puzzle on various solvers.

one of them just showed one of the two moves as a W-wing...

(which means its nothing new just something fun!)

http://www.dailysudoku.com/sudoku/forums/viewtopic.php?p=6365&sid=7e86be0928b37fe9a8c75026d9021ec3#6365

Steve R: said it first

I still dont really like the name, it should describe how it looks and acts.

Vote:
rename it to Biplane
(thats how it looks 2 wings. and ellimiantes on two wings...)

or skywings.

learn how to fly you first need 2 wings. :P
Last edited by StrmCkr on Thu Feb 26, 2009 4:21 am, edited 3 times in total.
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Postby tarek » Wed Feb 25, 2009 7:57 pm

Could you add a "NO CHANGE" to the poll ?

... That will give you a more accurate idea.

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Postby coloin » Wed Feb 25, 2009 10:29 pm

Do you want to use the term biplane....

cf swordfish = type of biplane !

C
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Postby StrmCkr » Thu Feb 26, 2009 4:38 am

i know there is biplanes called "sword fish"

but they still only have 2 wings

most notable is the one that crippled the bismarks rudder.
mentioned in the link

no change - cause its been accepted for a several years now..
Last edited by StrmCkr on Fri Mar 06, 2009 12:10 pm, edited 1 time in total.
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Postby keith » Fri Mar 06, 2009 11:53 am

ronk wrote:StrmCkr, it seems you've rediscovered the w-wing. I summarized the w-wing pattern variants here, but don't recall who coined the term.


Here is the history:

http://www.dailysudoku.com/sudoku/forums/viewtopic.php?t=2008

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Postby StrmCkr » Fri Mar 06, 2009 4:04 pm

thanks keith,

i did alot of reading on other sites once i knew what it was called.
i found many threads / topics on the subject.

and found the link above with the first casting of the name "w-wing"

:)

i have also figured out the "remote triple"

thread i have on here is also a varation of the w-wing.
using the properties shown by ronk as an empty rectangle set up.

Code: Select all
.  .  . |  /  a  / |  .  .  .
 . ab  . |  a a-b a |  .  .  .
 .  .  . |  /  a  / |  .  .  .
---------+----------+----------
 .  .  . |  .  .  . |  .  .  .
 . -b  . |  . ab  . |  .  .  .
 .  .  . |  .  .  . |  .  .  .
---------+----------+----------
 .  .  . |  .  .  . |  .  .  .
 .  .  . |  .  .  . |  .  .  .
 .  .  . |  .  .  . |  .  .  .
 Type E:
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Postby ronk » Mon Mar 09, 2009 5:23 pm

ronk wrote:I summarized the w-wing pattern variants here ...

To that summary, I've added an example of a W-Ring.
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Postby StrmCkr » Mon Mar 09, 2009 6:11 pm

thanks for the update ronk:)

i'll have to study those..
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