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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sat Apr 03, 2010 2:40 pm Post subject: An interesting BB |
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Today's Brain Bashers' has an interesting pattern of clues. A VH, about.
Code: | Puzzle: BB040310sh
+-------+-------+-------+
| . . . | . . . | . . . |
| . . 9 | 4 . 5 | 8 . . |
| . 1 6 | 8 . 3 | 2 4 . |
+-------+-------+-------+
| . 4 7 | 3 . 2 | 5 9 . |
| . . . | . . . | . . . |
| . 6 1 | 9 . 7 | 4 3 . |
+-------+-------+-------+
| . 3 2 | 5 . 8 | 6 1 . |
| . . 4 | 2 . 6 | 3 . . |
| . . . | . . . | . . . |
+-------+-------+-------+ | Keith |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Tue Apr 06, 2010 7:34 am Post subject: |
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A nice puzzle - thanks Keith
Quote: | 1)XY Wing <157> in blocks 1 & 4
2)Colouring on 7 eliminates 7 at r3c1 (eliminates a lot subsequently)
3)Colouring again on 7 again elminating 7 at r2c8 - if you prefer to see a structure it is a skyscraper on 7s r27c1 and r37c9 |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Wed Apr 07, 2010 2:32 pm Post subject: |
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First, a Type 3 UR58 in r19c23 forms subset 237 deleting 7 from r3c1. This results in the following code.
Code: | *--------------------------------------------------*
| 4 278 38 | 167 126 19 | 179 5 136 |
| 37 27 9 | 4 126 5 | 8 67 136 |
| 5 1 6 | 8 79 3 | 2 4 79 |
|----------------+----------------+----------------|
| 8 4 7 | 3 16 2 | 5 9 16 |
| 39 59 35 | 16 8 4 | 17 67 2 |
| 2 6 1 | 9 5 7 | 4 3 8 |
|----------------+----------------+----------------|
| 79 3 2 | 5 4 8 | 6 1 79 |
| 1 79 4 | 2 79 6 | 3 8 5 |
| 6 58 58 | 17 3 19 | 79 2 4 |
*--------------------------------------------------* |
Then another funny xyz-wing 179 in r1c7
(1-9)r1c7 = r9c7 - r7c9 = (9-7)r7c1 = r2c1; r2c8<>7,
(7)r1c7; r2c8<>7,
(9)r1c7 - (9=7)r3c9; r2c8<>7 to complete the puzzle.
Ted |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Wed Apr 07, 2010 4:42 pm Post subject: |
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(wrong thread - oops) |
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Luke451
Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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Posted: Wed Apr 07, 2010 6:34 pm Post subject: |
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Ted, I've seen your "funny xyz-wing" called a "kraken cell," among other things.
Code: | *--------------------------------------------------*
| 4 278 38 | 167 126 19 | 179 5 136 |
| 37 27 9 | 4 126 5 | 8 67 136 |
| 5 1 6 | 8 79 3 | 2 4 79 |
|----------------+----------------+----------------|
| 8 4 7 | 3 16 2 | 5 9 16 |
| 39 59 35 | 16 8 4 | 17 67 2 |
| 2 6 1 | 9 5 7 | 4 3 8 |
|----------------+----------------+----------------|
| 79 3 2 | 5 4 8 | 6 1 79 |
| 1 79 4 | 2 79 6 | 3 8 5 |
| 6 58 58 | 17 3 19 | 79 2 4 |
*--------------------------------------------------* |
A less fearsome fish will also do it, though:
(7)r3c9=r7c9-r7c1=(7)r2c1 =>r2c8<>7 |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Wed Apr 07, 2010 6:39 pm Post subject: |
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What type of fish is a skyscraper ? |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Apr 07, 2010 10:20 pm Post subject: |
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Mogulmeister wrote: | What type of fish is a skyscraper ? |
2x Sashimi X-Wings applied simultaneously. |
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Luke451
Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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Posted: Wed Apr 07, 2010 10:38 pm Post subject: |
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Mogulmeister wrote: | What type of fish is a skyscraper ? |
Well, calling it a skyscraper would have ruined my metaphor, and I never metaphor I didn't like
Still, a swimming skyscraper is not as hilarious as one might imagine.
From this Sudopedia article:
Turbot Fish: "This pattern is also known as Skyscraper." |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Apr 07, 2010 11:07 pm Post subject: |
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IMHO, the Sudopedia article that mentions Skyscraper under the definition of turbot fish is incorrect. Only one variation of the Skyscraper pattern fits as a turbot fish pattern. The general Skyscraper pattern would need four turbot fish to account for the four possible eliminations.
Similarly, the 4-cell Sashimi X-Wing pattern would need two turbot fish to account for the two possible eliminations. There is no mention in the Sudopedia article of a link between a turbot fish and a Sashimi X-Wing.
Thus, 2x 4-cell Sashimi X-Wing patterns can account for all four eliminatons in the general Skyscraper pattern.
Finally, one 4-cell single-digit chain can account for all four elimination in the general Skyscraper pattern. If I recall correctly, this is how Havard presented the general Skyscraper pattern. However, he did acknowledge its similarity to the turbot fish pattern. A similarity that many people have taken to mean equivalent.
Rambling and Regards, Danny |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Thu Apr 08, 2010 12:21 am Post subject: |
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Luke451 wrote: | Ted, I've seen your "funny xyz-wing" called a "kraken cell," among other things.
Code: | *--------------------------------------------------*
| 4 278 38 | 167 126 19 | 179 5 136 |
| 37 27 9 | 4 126 5 | 8 67 136 |
| 5 1 6 | 8 79 3 | 2 4 79 |
|----------------+----------------+----------------|
| 8 4 7 | 3 16 2 | 5 9 16 |
| 39 59 35 | 16 8 4 | 17 67 2 |
| 2 6 1 | 9 5 7 | 4 3 8 |
|----------------+----------------+----------------|
| 79 3 2 | 5 4 8 | 6 1 79 |
| 1 79 4 | 2 79 6 | 3 8 5 |
| 6 58 58 | 17 3 19 | 79 2 4 |
*--------------------------------------------------* |
A less fearsome fish will also do it, though:
(7)r3c9=r7c9-r7c1=(7)r2c1 =>r2c8<>7 |
Maybe my understanding of a "Kraken" condition is not general since I have only see it applied as an additional constraint to single digit patterns such as x-wings, swordfish, etc. Could you explain how this xyz-wing pattern has a Kraken characteristic?
Also, I was looking for unusual patterns when I found the xyz-wing but a fishy skyscraper is truly unique.
Ted |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Thu Apr 08, 2010 12:50 am Post subject: |
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Quote: | a fishy skyscraper is truly unique |
Bring on the Sonoma juice!
Keith |
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