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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Wed Dec 28, 2011 11:48 am    Post subject: rh122811 | 
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				There is something fishy about this one 	  | Code: | 	 		   *-----------*
 
 |...|...|.41|
 
 |6..|...|...|
 
 |...|8..|...|
 
 |---+---+---|
 
 |5..|6..|2..|
 
 |.4.|...|.7.|
 
 |...|3..|...|
 
 |---+---+---|
 
 |...|.71|6..|
 
 |..2|...|3..|
 
 |.7.|.4.|...|
 
 *-----------* | 	 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Wed Dec 28, 2011 6:11 pm    Post subject:  | 
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				This reminds me of an assignment in advanced math which requires 90% arithmetic to complete it.
 
 
W-Wing (89) in r4c2 and r5c7, SL 9 in r6, flightless with transport of 8 from r5c7 to r2c9; r2c2<>8.
 
 
 	  | Code: | 	 		  
 
+------------+-------------+--------------+
 
| 89 2   589 | 7   3   6   | 589 4    1   |
 
| 6  589 1   | 4   59  259 | 7   3    289 |
 
| 7  3   4   | 8   1   259 | 59  6    29  |
 
+------------+-------------+--------------+
 
| 5  89  7   | 6   89  4   | 2   1    3   |
 
| 2  4   3   | 1   589 59  | 89  7    6   |
 
| 1  6   89  | 3   2   7   | 4   589  589 |
 
+------------+-------------+--------------+
 
| 3  589 589 | 29  7   1   | 6   289  4   |
 
| 4  1   2   | 59  6   8   | 3   59   7   |
 
| 89 7   6   | 259 4   3   | 1   2589 589 |
 
+------------+-------------+--------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site | 
			 
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		Clement
 
 
  Joined: 24 Apr 2006 Posts: 1113 Location: Dar es Salaam Tanzania
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				 Posted: Wed Dec 28, 2011 6:25 pm    Post subject: rh122811 | 
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				A kite on 8 originating from BOX 1 in r2c1; r9c9<>8 leads to
 
A skyscraper on 8 in r26 running from col 9; r4c2<>8 which solves it. | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Wed Dec 28, 2011 6:55 pm    Post subject:  | 
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				I was hoping someone would see my fish! 	  | Code: | 	 		   *-----------------------------------------------------------*
 
 | 89    2     589   | 7     3     6     | 589   4     1     |
 
 | 6    *589   1     | 4     59    259   | 7     3    *289   |
 
 | 7     3     4     | 8     1     259   | 59    6     29    |
 
 |-------------------+-------------------+-------------------|
 
 | 5    *89    7     | 6     89    4     | 2     1     3     |
 
 | 2     4     3     | 1     589   59    | 89    7     6     |
 
 | 1     6   fr89    | 3     2     7     | 4     59-8  59-8  |
 
 |-------------------+-------------------+-------------------|
 
 | 3     589   589   | 29    7     1     | 6    *289   4     |
 
 | 4     1     2     | 59    6     8     | 3     59    7     |
 
 | 89    7     6     | 259   4     3     | 1    *2589 *589   |
 
 *-----------------------------------------------------------*
 
finned franken swordfish 8
 
(8)r6c3=franken swordfish:(8)r2b49c289 => r6c89<>8 | 	 
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		JC Van Hay
 
 
  Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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				 Posted: Wed Dec 28, 2011 7:12 pm    Post subject:  | 
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				From the B/B-Plot, the following "fish" is simpler ...  
 
 
Swordfish(8R245) : -8r1c7.r6c9; stte | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Wed Dec 28, 2011 8:22 pm    Post subject:  | 
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				 	  | JC Van Hay wrote: | 	 		  From the B/B-Plot, the following "fish" is simpler ...  
 
 
Swordfish(8R245) : -8r1c7.r6c9; stte | 	  I don't see the swordfish?  
 
 
help!  	  | Code: | 	 		   *-----------------------------------------------------------*
 
 | 89    2     589   | 7     3     6     | 589   4     1     |
 
 | 6    *589   1     | 4     59    259   | 7     3    *289   |
 
 | 7     3     4     | 8     1     259   | 59    6     29    |
 
 |-------------------+-------------------+-------------------|
 
 | 5    *89    7     | 6    *89    4     | 2     1     3     |
 
 | 2     4     3     | 1    *589   59    |*89    7     6     |
 
 | 1     6     89    | 3     2     7     | 4     589   589   |
 
 |-------------------+-------------------+-------------------|
 
 | 3     589   589   | 29    7     1     | 6     289   4     |
 
 | 4     1     2     | 59    6     8     | 3     59    7     |
 
 | 89    7     6     | 259   4     3     | 1     2589  589   |
 
 *-----------------------------------------------------------*
 
Swordfish(8R245)?? | 	 
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		JC Van Hay
 
 
  Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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				 Posted: Wed Dec 28, 2011 8:44 pm    Post subject:  | 
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				 	  | arkietech wrote: | 	 		   	  | JC Van Hay wrote: | 	 		  From the B/B-Plot, the following "fish" is simpler ...  
 
 
Swordfish(8R245) : -8r1c7.r6c9; stte | 	  I don't see the swordfish?  
 
 
help!  | 	  
 
 
Dan,
 
 
8R245 is a "double" Sashimi Swordfish or an X Chain on 8s : r2c9=r2c2-r4c2=r4c5-r5c5=r5c7 => -8r1c7.r6c9
 
 
Best regards, JC | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Wed Dec 28, 2011 9:16 pm    Post subject:  | 
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				 	  | JC Van Hay wrote: | 	 		   	  | arkietech wrote: | 	 		   	  | JC Van Hay wrote: | 	 		  From the B/B-Plot, the following "fish" is simpler ...  
 
 
Swordfish(8R245) : -8r1c7.r6c9; stte | 	  I don't see the swordfish?  
 
 
help!  | 	  
 
 
Dan,
 
 
8R245 is a "double" Sashimi Swordfish or an X Chain on 8s : r2c9=r2c2-r4c2=r4c5-r5c5=r5c7 => -8r1c7.r6c9
 
 
Best regards, JC | 	  Thanks JC!   
 
 
It is a good day when you learn something. | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Wed Dec 28, 2011 9:29 pm    Post subject:  | 
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				 	  | JC Van Hay wrote: | 	 		  | 8R245 is a "double" Sashimi Swordfish or an X Chain on 8s : r2c9=r2c2-r4c2=r4c5-r5c5=r5c7 => -8r1c7.r6c9 | 	  
 
"X-chain" is the better name IMO. Had Angus Johnson chosen to define "multi-coloring" to use two or more conjugate chains, an x-chain would today be within SSTS. | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Wed Dec 28, 2011 11:17 pm    Post subject:  | 
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				 	  | Code: | 	 		   finned/Sashimi Franken Swordfish r145\c27b5
 
 *-------------------------------------------------------------*
 
 | #89    2    #589   | 7     3     6     | *589   4     1     |
 
 |  6     5-89  1     | 4     59    259   |  7     3     289   |
 
 |  7     3     4     | 8     1     259   |  59    6     29    |
 
 |--------------------+-------------------+--------------------|
 
 |  5    *89    7     | 6    *89    4     |  2     1     3     |
 
 |  2     4     3     | 1    *589  %59    | *89    7     6     |
 
 |  1     6     89    | 3     2     7     |  4     589   589   |
 
 |--------------------+-------------------+--------------------|
 
 |  3     589   589   | 29    7     1     |  6     289   4     |
 
 |  4     1     2     | 59    6     8     |  3     59    7     |
 
 |  89    7     6     | 259   4     3     |  1     2589  589   |
 
 *-------------------------------------------------------------*
 
 | 	  
 
Now, all you need to do is decide if the fish is for <8> or <9> ... or both! | 
			 
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		keith
 
 
  Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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				 Posted: Thu Dec 29, 2011 1:31 am    Post subject:  | 
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				After basics: 	  | Code: | 	 		  +----------------+----------------+----------------+
 
|*89   2    589  | 7    3    6    |#589  4    1    | 
 
| 6   58-9  1    | 4    59   259  | 7    3    289  | 
 
| 7    3    4    | 8    1    259  | 59   6    29   | 
 
+----------------+----------------+----------------+
 
| 5   *89   7    | 6   #89   4    | 2    1    3    | 
 
| 2    4    3    | 1   #589  59   |#89   7    6    | 
 
| 1    6    89   | 3    2    7    | 4    589  589  | 
 
+----------------+----------------+----------------+
 
| 3    589  589  | 29   7    1    | 6    289  4    | 
 
| 4    1    2    | 59   6    8    | 3    59   7    | 
 
| 89   7    6    | 259  4    3    | 1    2589 589  | 
 
+----------------+----------------+----------------+ | 	  The cells * are W-wing pincers on 9.  An XY-wing finishes it off.
 
 
Keith | 
			 
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		Luke451
 
 
  Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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				 Posted: Fri Dec 30, 2011 1:01 am    Post subject:  | 
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				Seasons Greetings to all, or as John Lennon once sang,
 
“’appy Krimble!”
 
 
All those remote pair possibilities, there just has to be oddagons. Here’s a quick and easy one using Keith's pattern.
 
 
 	  | Code: | 	 		  +------------+-------------+--------------+ 
 
|*89 2   589 | 7   3   6   |*89+5 4   1   | 
 
| 6 *89+5 1  | 4  -59  259 | 7   3    289 | 
 
| 7  3   4   | 8   1   259 | 59  6    29  | 
 
+------------+-------------+--------------+ 
 
| 5 *89  7   | 6  *89  4   | 2   1    3   | 
 
| 2  4   3   | 1  *89+5 59 |*89  7    6   | 
 
| 1  6   89  | 3   2   7   | 4   589  589 | 
 
+------------+-------------+--------------+ 
 
| 3  589 589 | 29  7   1   | 6   289  4   | 
 
| 4  1   2   | 59  6   8   | 3   59   7   | 
 
| 89 7   6   | 259 4   3   | 1   2589 589 | 
 
+------------+-------------+--------------+ | 	  
 
(89)oddagon, guardian 5s => r2c5<>5
 
 
(5)r2c2
 
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(5)r5c5
 
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(5)r1c7-r3c7=(5)r3c6 | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Fri Dec 30, 2011 3:28 am    Post subject:  | 
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				 	  | Luke451 wrote: | 	 		  (89)oddagon, guardian 5s => r2c5<>5
 
 
(5)r2c2
 
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(5)r5c5
 
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(5)r1c7-r3c7=(5)r3c6 | 	  
 
Or using just the 8s in those cells, with externals guarding against an impossible odd-length conjugate loop: (8)r1c3 = (8)r7c2 ==> r2c2<>8
 
 
[edits: added the following]
 
Furthermore, since the empty rectangle pattern in b1 is a grouped conjugate link, there's actually only one required guardian: (8)r7c2 ==> r24c2<>8
 
 
In AIC form: (8)r2c2 - r1c13 = r1c7 - r5c7 = r5c5 - r4c5 = (8)r4c2 ==> r2c2<>8
 
 
A second AIC, with the strong and weak inferences reversed, yields r4c2<>8. | 
			 
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		ronk
 
 
  Joined: 07 May 2006 Posts: 398
 
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				 Posted: Fri Jan 06, 2012 2:46 am    Post subject:  | 
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				Thinking someone might be interested in graphics for the two oddagons above. "Truths" and "links" correspond to "base sets" and "cover sets", respectively.
 
 
____ ____ 
 
 	  | Code: | 	 		  | An almost illegal loop of 7 bivalues                                       An almost illegal loop of 7 bilocals | 	 
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