Hi,
I guess this thread deserves a little push.
I have a question for the purists about nomenclature. The following puzzle was #6 in the German P.M. magazine Sudoku Trainer Dec. 2006:
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..9..7.3...1......23.9...5.......4.8...31..2.16..8.....4........8.5.9...3......45
Some naked and hidden singles together with locked candidates and/or disjoint subsets lead to:
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.---------------.---------------.---------------.
| 468 5 9 | 1 2 7 | 68 3 46 |
| 468 7 1 | 48 5 3 | 268 89 2469|
| 2 3 48 | 9 6 48 | 17 5 17 |
:---------------+---------------+---------------:
| 5 2 3 | 7 9 6 | 4 1 8 |
| 48 9 478 | 3 1 45 | 567 2 67 |
| 1 6 47 | 24 8 245 | 357 79 379 |
:---------------+---------------+---------------:
| 9 4 5 | 6 3 1 | 278 78 27 |
| 7 8 2 | 5 4 9 | 13 6 13 |
| 3 1 6 | 28 7 28 | 9 4 5 |
'---------------'---------------'---------------'
I found this interesting because you can use a Turbot Fish, Finned X-Wings or even a Broken Wing to eliminate the digit 4 from r5c6 and r6c3, which is quite sophisticated for a newspaper puzzle.
But consider the following classical Finned X-Wing r35c36 with fin r5c1:
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4 . . | . . . | . . 4
4 . . | 4 . . | . . 4
. . *4 | . . *4 | . . .
---------+---------+---------
. . . | . . . | . . .
#4 . *4 | . . *4 | . . .
. . -4 | 4 . 4 | . . .
---------+---------+---------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
Sashimi or not sashimi, that's the question. At first it appears to be not sashimi because all four vertices of the X-Wing are present. But if it wasn't for the fin r5c1, there would be locked candidates in c3b4 leading to r3c3<>4 => r3c6=4 => r5c6<>4 => r5c3=4. So, without the fin the X-Wing degenerates to singles and thus could be called sashimi.
What's your opinion?