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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sat Sep 01, 2012 6:13 am    Post subject: vanhegan fiendish April 18, 2012 |   |  
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				| Watch out for a Purple Cow! 
  	  | Code: |  	  | *-----------*
 |...|..9|..7|
 |.2.|7..|.1.|
 |74.|..3|95.|
 |---+---+---|
 |6.4|..8|.3.|
 |91.|.3.|.48|
 |.3.|1..|5.9|
 |---+---+---|
 |.81|3..|.95|
 |.9.|..6|.7.|
 |3..|9..|...|
 *-----------*
 
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Sep 01, 2012 4:49 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +---------------+----------------+-------------+ |  1   D56  3   |  2458 2468 9   | 248 28  7   |
 | C58   2   9   |  7    468  45  | 348 1   346 |
 |  7    4  B68  | -28   1    3   | 9   5  A26  |
 +---------------+----------------+-------------+
 |  6   F57  4   | G25   9    8   | 127 3   1-2 |
 |  9    1   257 |  6    3    257 | 27  4   8   |
 |  28   3   278 |  1    247  247 | 5   6   9   |
 +---------------+----------------+-------------+
 |  24   8   1   |  3    247  247 | 6   9   5   |
 |  245  9   25  |  248  248  6   | 13  7   13  |
 |  3   E67  67  |  9    5    1   | 248 28  24  |
 +---------------+----------------+-------------+
 | 
 
 Forgot what a Purple Cow is. Maybe this is a Green Guernsey or Jade Jersey, or maybe an XY-Chain, a little longer than I'd like, but I take what I can get.
 
 R3c9=6-->r4c4=2.
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sat Sep 01, 2012 5:44 pm    Post subject: |   |  
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				|  	  | Marty R. wrote: |  	  | Forgot what a Purple Cow is. | 
 No one knows what it is.
   It is supposedly a name for one of the un-named wings. If you ever see one -- let me know.
 
  	  | Code: |  	  | *-----------------------------------------------------------*
 | 1    c56    3     | 2458 d468-2 9     | 248   28    7     |
 | 58    2     9     | 7     468   45    | 348   1     346   |
 | 7     4    b68    |a28    1     3     | 9     5     26    |
 |-------------------+-------------------+-------------------|
 | 6     57    4     | 25    9     8     | 127   3     12    |
 | 9     1     257   | 6     3     257   | 27    4     8     |
 | 28    3     278   | 1     247   247   | 5     6     9     |
 |-------------------+-------------------+-------------------|
 | 24    8     1     | 3     247   247   | 6     9     5     |
 | 245   9     25    | 248   248   6     | 13    7     13    |
 | 3     67    67    | 9     5     1     | 248   28    24    |
 *-----------------------------------------------------------*
 Hybrid-wing
 (2=8)r3c4-(8=6)r3c3-r1c2=(6)r1c5 => r1c5<>2; lclste
 
 
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		| daj95376 
 
 
 Joined: 23 Aug 2008
 Posts: 3854
 
 
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				|  Posted: Sat Sep 01, 2012 9:34 pm    Post subject: |   |  
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				|  	  | arkietech wrote: |  	  |  	  | Marty R. wrote: |  	  | Forgot what a Purple Cow is. | 
 No one knows what it is.
   It is supposedly a name for one of the un-named wings. If you ever see one -- let me know.
 
 | 
 Hmmm. I checked the pattern listed for a Purple Cow, and came away with what I'm calling an L2-Wing. However, the Purple Cow pattern only indicates one of the two possible eliminations.
 
 
  	  | Code: |  	  | . . . | . . . | . . . . *---1---*---2---* .
 . . . | . . . | . . .
 ------+-------+------
 . . . | . . . | . . .
 . *-------1-------*#.
 . . . | . . . | . . .
 ------+-------+------
 . . . | . . . | . . .
 . . . | . . . | . . .
 . . . | . . . | . . .
 
 (1)r5c8 = (1)r5c2 - (1)r2c2 = (1-2)r2c5 = (2)r2c8  =>  r2c8<>1, r5c8<>2
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 8. I-Never-Saw-A-Purple-Cow-I-Hope-I-Never-See-One-But-I-Can-Tell-You-This-Right-Now-I'd-Rather-See-Than-Be-One
 # =/= 2
 
 
  	  | Code: |  	  | L2-Wing:  (X)a = (X)b - (X)c = (X-Y)d = (Y)e "a" and "e" in same unit; a<>Y, e<>X
 
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sat Sep 01, 2012 10:22 pm    Post subject: |   |  
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				|  	  | daj95376 wrote: |  	  | Hmmm. I checked the pattern listed for a Purple Cow, and came away with what I'm calling an L2-Wing. However, the Purple Cow pattern only indicates one of the two possible eliminations. 
 
  	  | Code: |  	  | . . . | . . . | . . . . *---1---*---2---* .
 . . . | . . . | . . .
 ------+-------+------
 . . . | . . . | . . .
 . *-------1-------*#.
 . . . | . . . | . . .
 ------+-------+------
 . . . | . . . | . . .
 . . . | . . . | . . .
 . . . | . . . | . . .
 
 (1)r5c8 = (1)r5c2 - (1)r2c2 = (1-2)r2c5 = (2)r2c8  =>  r2c8<>1, r5c8<>2
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 8. I-Never-Saw-A-Purple-Cow-I-Hope-I-Never-See-One-But-I-Can-Tell-You-This-Right-Now-I'd-Rather-See-Than-Be-One
 # =/= 2
 
 
  	  | Code: |  	  | L2-Wing:  (X)a = (X)b - (X)c = (X-Y)d = (Y)e "a" and "e" in same unit; a<>Y, e<>X
 
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 | 
 Thanks Danny,
 
 do you know of an example?
 
 I will start looking.
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		| daj95376 
 
 
 Joined: 23 Aug 2008
 Posts: 3854
 
 
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sun Sep 02, 2012 2:32 am    Post subject: |   |  
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				|  	  | daj95376 wrote: |  	  | http://www.dailysudoku.com/sudoku/forums/viewtopic.php?p=33809 | 
 
  	  | Code: |  	  | *-----------------------------------------------------------------------------* | 7       138     1368    | 468     2       9       | 134     14      5       |
 | 4       2389    3589    | 7       1       58      | 39      6       29      |
 | 15      129     1569    | 3       46      45      | 1479    8       279     |
 |-------------------------+-------------------------+-------------------------|
 | 9       178     1478    | 5       467     47      | 2       3      b678     |
 |d36      37      347     | 1469    8       2       | 1579    1579   c679     |
 |e6-8     5       2       | 169     3679    37      |a1789    179     4       |
 |-------------------------+-------------------------+-------------------------|
 | 125     4       135789  | 89      379     6       | 5789    2579    789     |
 | 25      6       5789    | 489     479     1       | 45789   24579   3       |
 | 38      3789    3789    | 2       5       3478    | 6       479     1       |
 *-----------------------------------------------------------------------------*
 L2-wing
 (8)r6c7=(8-6)r4c9=r5c9-r5c1=(6)r6c1 => r6c1<>8; stte
 
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 I am familiar with this L2-wing
 a=(a-b)=b-b=b (the first and last ab must be in the same cell)
 
 The pattern you showed was:
 a=(a-b)=(b-a)=a (first and last a are in the same chute, different cells)
 
 I have never seen one of these
  --a real purple cow!   
 Help me find one!
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Sep 02, 2012 3:43 am    Post subject: |   |  
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		| arkietech 
 
 
 Joined: 31 Jul 2008
 Posts: 1834
 Location: Northwest Arkansas USA
 
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				|  Posted: Sun Sep 02, 2012 12:12 pm    Post subject: |   |  
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				| Thanks for finding the purple cow Marty!   
 I discovered the pattern I was confused with was really a skyscrapper. I had looked at Danny's pattern and saw something entirely different.
 
 A Purple Cow is just a plain old vanilla L2-wing. I just didn't realize what they were.
 
 It is amazing what morning will bring.
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