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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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 Posted: Sun Jun 08, 2008 10:57 am Post subject: |
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| Marty R. wrote: |
| Quote: | | verbing weirds language |
My only familiarity with C&H is that I've heard of it, but I love that phrase!! |
Marty, if you don't have kids already there is still time to get a glimpse of what it could be like. You might want that warning or you might not  But if you do, C&H is a must read. Get the collections (e.g. "The Essential C&H" ...) |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun Jun 08, 2008 12:22 pm Post subject: |
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| Marty R. wrote: | I'm not much of an XY-Chain user, and couldn't do anything with my usual arsenal, so I Medusa'ed it (is Medusa a verb?).
| Quote: | | If R8C2 is <7>, R9C1 must be <1> (in B7), R9C4 must be <2> (in R9), R8C4 must be <7> (in C4). R8C2 cannot be <7>. |
That's certainly easy enough to follow, and I know you have an explanation, but how does that differ from a T&E forcing chain? |
Marty,
I absolutely agree this is trial & error. I put it out there, in the hope someone might point out there is a pattern. Apparently not.
Keith |
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Myth Jellies
Joined: 27 Jun 2006
Posts: 64
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| Posted: Mon Jun 09, 2008 6:59 am Post subject: |
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| keith wrote: | | Code: | +--------------------------+--------------------------+--------------------------+
| 3 9 7 | 8 56 56 | 2 1 4 |
| 4 6 1 | 23 39 29 | 7 8 5 |
| 28 28 5 | 4 7 1 | 9 6 3 |
+--------------------------+--------------------------+--------------------------+
| 17 147 2 | 36 8 346 | 5 9 16 |
| 5 3 6 | 9 1 7 | 4 2 8 |
| 18 148 9 | 56 2 456 | 3 7 16 |
+--------------------------+--------------------------+--------------------------+
| 6 27 3 | 1 4 29 | 8 5 79 |
| 9 1-7@ 8 | 3567@ 356 356 | 16 4 2 |
| 127@ 5 4 | 267@ 69 8 | 16 3 79 |
+--------------------------+--------------------------+--------------------------+ |
If you stare long enough at the four cells @, you will solve R8C2, leading to a BUG+1.
Keith |
There is a pattern...
Half a hidden pair (1's) in b7 sharing a cell with half a hidden pair/x-wing (2's) in r9 sharing a different cell with half a hidden pair/x-wing (7's) in c4.
or
(1)r8c2 = (1)r9c1 - (2)r9c1 = (2)r9c4 - (7)r9c4 = (7)r8c4 => r8c2 <> 7 & r8c4 <> 1
which is usually shortened to
(1)r8c2 = (1-2)r9c1 = (2-7)r9c4 = (7)r8c4 => r8c2 <> 7 & r8c4 <> 1
Certainly if it is "pattern based" to use these bilocated digits as sub-patterns to find x-wings and hidden pairs, then it ought to be "pattern-based" to use them as sub-patterns to find an AIC as well  |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Mon Jun 09, 2008 8:08 pm Post subject: |
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For those here who aren't hep to the jive, "half hidden pair", "half X-Wing" and "bilocated digits" are all euphemisms for "conjugate pair".
Keith might also spot that <7> elimination as a type of (Half) M-Wing. Let's ignore the <6> in r9c4 for a moment:
| Code: | +-------------+-----------------+-----------+
| 3 9 7 | 8 56 56 | 2 1 4 |
| 4 6 1 | 23 39 29 | 7 8 5 |
| 28 28 5 | 4 7 1 | 9 6 3 |
+-------------+-----------------+-----------+
| 17 147 2 | 36 8 346 | 5 9 16 |
| 5 3 6 | 9 1 7 | 4 2 8 |
| 18 148 9 | 56 2 456 | 3 7 16 |
+-------------+-----------------+-----------+
| 6 @27 3 | 1 4 @29 | 8 5 79 |
| 9 1-7 8 |@3567 356 356 | 16 4 2 |
| 127 5 4 |@2(6)7 69 8 | 16 3 79 |
+-------------+-----------------+-----------+ |
The cells marked @ form a conventional M-Wing (with the <6> ignored). But as was belabored elsewhere a while back, the "non-pincer" bivalue cell in an M-Wing does not actually need to be a bivalue. The presence of additional digits doesn't matter since the intracell link is logically weak.
In Ravel's "Half M-Wing" the link to the pincer bivalue is weak-only (i.e., there would be additional <2>s in r7 above). This is an example of the other sort of "Half M-Wing" possible. And it works if both of these locations have weak-only links.
If an M-Wing is the simplest application of Medusa coloring, a "Half M-Wing" is a simple application of Medusa Multi-coloring:
| Code: | +-------------+-----------------+-----------+
| 3 9 7 | 8 56 56 | 2 1 4 |
| 4 6 1 | 23 39 29 | 7 8 5 |
| 28 28 5 | 4 7 1 | 9 6 3 |
+-------------+-----------------+-----------+
| 17 147 2 | 36 8 346 | 5 9 16 |
| 5 3 6 | 9 1 7 | 4 2 8 |
| 18 148 9 | 56 2 456 | 3 7 16 |
+-------------+-----------------+-----------+
| 6 2b7B 3 | 1 4 2B9 | 8 5 79 |
| 9 1-7 8 | 3567A 356 356 | 16 4 2 |
| 127 5 4 | 2b67a 69 8 | 16 3 79 |
+-------------+-----------------+-----------+
Strong color pair: AB |
If the <2>s in r7 were also weak-only linked, then 3 color pairs would be required for the Medusa Multi-coloring version, as is the case with Myth Jellies's slightly different trapping approach:
| Code: | +--------------+-----------------+-----------+
| 3 9 7 | 8 56 56 | 2 1 4 |
| 4 6 1 | 23 39 29 | 7 8 5 |
| 28 28 5 | 4 7 1 | 9 6 3 |
+--------------+-----------------+-----------+
| 17 147 2 | 36 8 346 | 5 9 16 |
| 5 3 6 | 9 1 7 | 4 2 8 |
| 18 148 9 | 56 2 456 | 3 7 16 |
+--------------+-----------------+-----------+
| 6 27 3 | 1 4 29 | 8 5 79 |
| 9 1A-7 8 | 3567c 356 356 | 16 4 2 |
| 1a2b7 5 4 | 2B67C 69 8 | 16 3 79 |
+--------------+-----------------+-----------+
Strong color pairs: AB; bc; Ac |
It is the "induced" Ac pair which does the trapping. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Jun 10, 2008 7:29 pm Post subject: |
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I'd almost given up hope to find the strip on the web, but here it is:
and while I'm at it, might as well show you another one:
 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Tue Jun 10, 2008 8:54 pm Post subject: |
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Thanks. So "access" got verbed. One that I can think of offhand comes from the world of sports where "defense" got verbed.
Why is nobody giving me credit for verbing "Medusa"?   |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Tue Jun 10, 2008 9:05 pm Post subject: |
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| Quote: | | Why is nobody giving me credit for verbing "Medusa"? |
So? I never got no credit recently when said I erred when I ER'ed. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Jun 11, 2008 12:34 am Post subject: |
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Life is tough Craig.
One think I forgot to mention about the C&H cartoon was that the noun "verb" got verbed. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Jun 11, 2008 5:08 am Post subject: |
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| And, of course, Craig and Marty will be credit-ed ... |
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