Here are the 'exemplars' for the Almost Double JExocet pattern with 4 base digits and 4 target cells when a single base digit can occur in 3 parallel lines in the partial fish cells.
The pattern used is (1234)DoubleExocet[a:r1c12,r2c7,r3c5][b:r3c89,r1c5,r2c3]
The partial fish columns are 3,5,& 7 where (1) occurs 3 times in the other two bands and (234) each occur twice.
- Code: Select all
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| 12 12 5 | 347 34 347 | 689 689 689 | | 12 12 5 | 347 34 347 | 689 689 689 |
| 347 347 34 | 689 689 689 | 12 125 125 | | 346 346 34 | 589 589 589 | 12 127 127 |
| 689 689 689 | 125 12 125 | 7 34 34 | | 789 789 789 | 126 12 126 | 5 34 34 |
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Both JEs True (Repeating Triples /) Both JEs True (Repeating Pairs /)
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| 12 12 5 | 347 34 347 | 689 689 689 | | 12 12 5 | 347 34 347 | 689 689 689 |
| 347 347 34 | 689 689 689 | 25 15 15 | | 346 346 34 | 589 589 589 | 27 17 17 |
| 689 689 689 | 15 25 15 | 7 34 34 | | 789 789 789 | 16 26 16 | 5 34 34 |
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(34)JE True (Repeating Triples /) (34)JE True (Repeating Pairs /)
(12)JE false (1 in neither target) (12)JE False (1 in neither target)
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| 12 12 5 | 479 479 479 | 368 368 368 | | 12 12 5 | 489 489 489 | 367 367 367 |
| 478 478 478 | 13 6 13 | 256 256 256 | | 467 467 467 | 13 5 13 | 289 289 289 |
| 369 369 369 | 258 258 258 | 7 14 14 | | 389 389 389 | 267 267 267 | 5 14 14 |
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Both False (Repeating Pairs /) Both False (Repeating Pairs \)
(1 in both base cells) (1 in both base cells)
In 4 of the 6 cases the digits repeat in the mini-rows as pairs or triples in the same diagonal direction.
Observations:
1. Commonly the companion cells, r1c3, r2c5, and r3c7, will be singles and if they hold two instances of one digit and one of another, at least one of the component patterns must be true (which will occur reasonably frequently)
2. One pattern must also be true when r1c7 and r3c3 cannot hold a base digit between them. In the configuration shown, when the pattern is false, (3) must be true in c3b58, so with only one of columns 3 & 7 capable of being satisfied in the partial fish, at least one of these cells would have to be true. It also follows that whether the DJE is true or false, any base digit eliminated from both these cells can be eliminated completely from mini-lines r1b3,r2b2,r3b1.
3. Similarly whether the DJE is true or false, digits 2,3,4 (the unspoilt base digits) always travel in the / diagonal direction between mini-rows in the band. Hence if one of them has been eliminated from one mini-line, it can also be eliminated from two others.
4. For the double pattern to be false. the spoiler digit, (1) must be true 3 times in the partial fish as it can't be true in c357 in the DJE band.
5. [Added] When more than two digits can simultaneously occupy 3 parallel lines in the partial fish cells, it's possible for both JEs to be false, with these digits absent from the target cells. In this case it isn't necessary for one of the base digits to occupy both sets of base cells, although this is still a possibility.
With no solver program, I can't check how useful these deductions will prove to be in practice, so would appreciate any feedback.
[Edit 1] Missing cases added for when one JE can be true and the other false.
[Edit 2] Observation 5 added.
