The Ultimate FISH Guide

Advanced methods and approaches for solving Sudoku puzzles

Postby Mike Barker » Fri Jan 05, 2007 2:04 am

The r3c2345|r4c124|r9c2356=1 refers to the cells which make up the fish and the fins. The fins in this case are r9c36, r3c3, and r4c1 and the cover set is c245. Either the fins and c5 are true or r6c7 is true. I forgot your requirement that the fish be directly linked to the candidate elimination cell, r6c7, so even though this Kraken fish uses only the fish digit, it doesn't satisfy your criteria for a regular fish. I guess it remains a Kraken swordfish alternative to the whale instead of a remote fin swordfish.

Code: Select all
2-link Kraken Row Swordfish: r349/c245 (r9c3|r4c1|r3c3-1-r5c3=1=r5c9-1-, r9c6|r9c5|r3c5-1-r7c5=1=r7c8-1-r12c8=1=r1c7-1-): r3c2345|r4c124|r9c2356=1 => r6c7<>1
+-----------------+-------------------+----------------+
| 127     3  279  |   129    6     8  |  15$ 159$   4  |
| 128     5    4  |  1239    7    12  |   6   19$  38  |
|   6    18*  19# |  1349* 149*    5  |   7    2   38  |
+-----------------+-------------------+----------------+
| 147#   14*   3  |    17*   5     6  |   9    8    2  |
|   5     6   17@ |     8    2     9  |   4    3   17@ |
|   9     2    8  |   147    3   147  | 5-1    6  157  |
+-----------------+-------------------+----------------+
|  28     7    5  |     6   14$    3  |  28   14$   9  |
| 124   149    6  | 12479    8  1247  |   3  145   15  |
|   3  1489*  12# |     5  149*  124# |  28    7    6  |
+-----------------+-------------------+----------------+


I guess I'd consider an XYZ-wing before a whale, but that's personal preference.
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Postby tarek » Fri Jan 05, 2007 11:04 am

Mike Barker wrote:Tarek, did you mean Franken Fish or Kraken Fish?

KRAKEN was what I was after,

I do understand there had been several discussions regarding the term kraken fish but before confusing things further a re-cap could be better.

kraken fish to me is a fish that needs information from OUTSIDE an established fish pattern to achive the eliminations..... so taking out the OUTSIDE information ...we are left with a valid fish that achieves no eliminations........ (the outside information was not specified)

This has then apparantly to insure that the OUTSIDE information is a single digit info similar to the rest of the digits..... (Now this to me is more appropriate however it is more or less a form of fish with a hint of colouring)

The bit that confuses me is that now, the kraken term seems to describe a single pattern (remote fin, ......) which to me is even better ..... but I think it needs more calrification in the kraken fish thread ...... the conclusions there could then -if appropriate- be brought to this thread........

ronk wrote:
tarek wrote:does anyone have a proper definition of a SECTOR, LINE & BOX so that it can be included the head post too.

I suggest looking at the sudopedia site for ideas. It's probably too much to hope for, but identical definitions would be nice.

That is splendid, thanx

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Postby daj95376 » Sun Jan 07, 2007 11:54 am

There's often more than one way to find fish -- especially if you don't understand all of the variations and must rely on catching what you can and hope that the Game Wardens don't make you throw it back.:D

I generated a new set of puzzles and associated eliminations. Here's puzzle E160 and a couple of exo/remote/sd-Kraken eliminations I found in it. Have a good chuckle! (ronk will post a more desirable explanation after mine.)

Code: Select all
5......8....6..34...3..51....9..1.6.1...3...4.6.2..9....51..2...24..9....3......8 #E160 7

Code: Select all
# exo Swordfish r348\c145
# exo cells [r34c2]=7 => [r789c1]=7 => [r26c1]<>7
 *--------------------------------------------------------------------*
 | 5      149    6      | 34     1249   234    | 7      8      29     |
 | 289-7  1789   278    | 6      1789   78     | 3      4      5      |
 |*4789  #4789   3      |*478   *24789  5      | 1      29     6      |
 |----------------------+----------------------+----------------------|
 | 23    #47     9      |*478   *478    1      | 5      6      23     |
 | 1      5      27     | 9      3      6      | 8      27     4      |
 | 348-7  6      78     | 2      5      47     | 9      137    137    |
 |----------------------+----------------------+----------------------|
 | 6789   789    5      | 1      4678   3478   | 2      379    379    |
 |*78     2      4      | 35    *78     9      | 6      135    13     |
 | 679    3      1      | 57     267    27     | 4      579    8      |
 *--------------------------------------------------------------------*

Code: Select all
# exo Swordfish r348\c145
# exo cell [r3c2]=8 => [r789c1]=8 => [r26c1]<>8
 *--------------------------------------------------------------------*
 | 5      149    6      | 34     1249   234    | 7      8      29     |
 | 29-8   1789   278    | 6      1789   78     | 3      4      5      |
 |*4789  #4789   3      |*478   *24789  5      | 1      29     6      |
 |----------------------+----------------------+----------------------|
 | 23     47     9      |*478   *478    1      | 5      6      23     |
 | 1      5      27     | 9      3      6      | 8      27     4      |
 | 34-8   6      78     | 2      5      47     | 9      137    137    |
 |----------------------+----------------------+----------------------|
 | 6789   789    5      | 1      4678   3478   | 2      379    379    |
 |*78     2      4      | 35    *78     9      | 6      135    13     |
 | 679    3      1      | 57     267    27     | 4      579    8      |
 *--------------------------------------------------------------------*

Given all of the <78> pairs in cells, I wonder if there's a Unique Loop hiding somewhere. Carcul ... where are you?
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re: terminology

Postby Pat » Sun Jan 07, 2007 4:37 pm

tarek wrote:
    does anyone have a proper definition of a SECTOR, LINE & BOX
    so that it can be included the head post

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Franken and equivalent Mutant

Postby Pat » Sun Jan 07, 2007 5:26 pm

    the 15-cell pattern of Franken Swordfish diagram 3B
    is equivalent with Mutant Swordfish diagram 3D


    the 16-cell pattern of Franken Jellyfish diagram 4E
    is equivalent with Mutant Jellyfish diagram 4F

    the 19-cell or 20-cell pattern of Franken Jellyfish diagram 4D
      4D: rrrb\cccc ; cccb\rrrr transpose
      4D-inverse: cccc\rrrb ; rrrr\cccb transpose
    is equivalent with Mutant Jellyfish diagram 4H
      4H: rrrc\ccbb ; rccc\rrbb transpose
      4H-inverse: ccbb\rrrc ; rrbb\rccc transpose

    should we try to find additional Jellyfish cases
    to have equivalents for Franken diagram 4B and for Mutant diagrams 4G and 4x ??
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Re: Franken and equivalent Mutant

Postby ronk » Sun Jan 07, 2007 7:17 pm

Pat wrote:
    the 15-cell pattern of Franken Swordfish diagram 3B
    is equivalent with Mutant Swordfish diagram 3D


    the 16-cell pattern of Franken Jellyfish diagram 4E
    is equivalent with Mutant Jellyfish diagram 4F

    the 19-cell or 20-cell pattern of Franken Jellyfish diagram 4D
      4D: rrrb\cccc ; cccb\rrrr transpose
      4D-inverse: cccc\rrrb ; rrrr\cccb transpose
    is equivalent with Mutant Jellyfish diagram 4H
      4H: rrrc\ccbb ; rccc\rrbb transpose
      4H-inverse: ccbb\rrrc ; rrbb\rccc transpose
    Pat, thanks for that info. I do keep a list of equivalents which haven't been posted. Without the illustrations:
    Code: Select all
    EQUIVALENTS :(list in development)

    A 'franken swordfish rrb\ccc' is equivalent to 'franken whale cccccc\rrrrbb'
    (transpose ccc\rrb equivalent rrrrbb\cccccc)

    A 'swordfish rrr\ccc' is equivalent to 'whale cccccc\rrrrrr'
    (transpose ccc\rrr equivalent to rrrrrr\cccccc)

    A 'franken swordfish rrb\ccc' is equivalent to 'franken squirmbag cccbb\rrrrb'
    (transpose ccb\rrr equivalent to rrrbb\ccccb)

    A 'jellyfish rrrr\cccc' is equivalent to 'squirmbag ccccc\rrrrr'
    (transpose cccc\rrrr equivalent to rrrrr\ccccc)

    A 'franken jellyfish rrrb\cccc' is equivalent to 'franken squirmbag ccccc\rrrbb'
    (transpose cccc\rrrb equivalent to rrrbb\ccccc)

    A 'franken jellyfish rrbb\cccc' is equivalent to 'franken squirmbag ccccc\rrrrb'
    (transpose cccc\rrbb equivalent to rrrrb\ccccc)

    A 'mutant jellyfish rrcc\bbbb' is equivalent to 'franken squirmbag ccccc\rrrrb'
    (transpose bbbb\rrcc equivalent to rrrrb\ccccc)

    A 'jellyfish cccc\rrrr' is equivalent to 'squirmbag rrrrr\ccccc'
    (transpose rrrr\cccc equivalent to ccccc\rrrrr)

    A 'franken jellyfish rrrb\cccc' is equivalent to 'mutant whale rccccc\rrrrrr'
    (transpose cccc\rrrb equivalent to rrrrrr\rccccc)

    A 'franken jellyfish cccc\rrrb' is equivalent to 'mutant whale rrrrcc\rcbbbb'
    (transpose rrrb\cccc equivalent to rcbbbb\rrrrcc)

    A 'mutant jellyfish rrcc\bbbb' is equivalent to 'franken squirmbag rrrrr\ccccb'
    (transpose bbbb\rrcc equivalent to ccccb\rrrrr)
    Generally, the preferred interpretation is on the left.]

    If there's some interest, I will edit this post to add the illustrations.

    I don't recall rigorously checking for non-equivalency between exemplars, so I'm not surprised there are some. In my opinion, the more complex of two equivalents should be removed from the exemplars ... and added to an equivalency list instead.

    should we try to find additional Jellyfish cases
    to have equivalents for Franken diagram 4B and for Mutant diagrams 4G and 4x ??

    The equivalent for the franken jellyfish (4B) is a franken squirmbag. The other two are not so obvious, but "yes" it would be nice to at least have them in the equivalency list. Please let us know if you find them.

    Ron
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Postby ronk » Mon Jan 08, 2007 7:02 pm

Although it's impractical to catalog all the "degenerative" fish patterns, I think cataloging a few of them is desirable. But I wasn't sure how to do so until now.

First, I just hated the idea of illustrating degenerate patterns. But these patterns are useful because one or more fin cells exist. So why not illustrate all possible fin cells that prevent a pattern from degenerating? If one or more of the fin cells is true, an elimination may always still be made. IOW if any combination of fin cells with at least one cell true does not cause an elimination, the pattern is suspect.

Second, even though mathematically correct, the term "degenerative" seems to be politcally incorrect. Well duh! We already have the term "sashimi" to mean a fish pattern that degenerates when all the fin cells are false.

So for the exemplar below we have "sashimi mutant jellyfish."

Code: Select all
 .  .  . |  .  *  * |  *  X  *
 /  /  / |  /  X  X | *X  /  X
 .  .  . |  .  *  * |  *  X  *
---------+----------+----------
 .  .  . |  .  *  * |  *  /  .
 /  /  / |  /  X  X |  X  /  /
 .  .  . |  .  *  * |  *  /  .
---------+----------+----------
 .  .  . |  .  *  * |  *  #  .
 /  /  / |  /  X  X |  X  #  /
 .  .  . |  .  *  * |  *  #  .
 rrrc\cccb
 transpose rccc\rrrb
 mutant sashimi jellyfish

But this begs the question ... where are the fins of the inverse?

[edit: "sashimi mutant" was "mutant sashimi']
Last edited by ronk on Tue Jan 09, 2007 10:12 am, edited 1 time in total.
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Postby Ruud » Mon Jan 08, 2007 9:47 pm

Here is a closely related hidden pattern:
Code: Select all
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .
---------+----------+----------
 .  .  . |  .  .  . |  .  /  .
 /  /  / |  /  .  . |  .  /  /
 .  .  . |  .  .  . |  .  /  .
---------+----------+----------
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .

A candidate in r8c8 will sustain the eliminations in box 9. Can't figure out the fishiness of this hidden pattern. It is easy to see how each of the eliminated candidates would cause an X-Wing in columns 5,6 which leaves the 3rd row without any candidates.

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Postby ronk » Tue Jan 09, 2007 6:58 am

Ruud wrote:Here is a closely related hidden pattern:
Code: Select all
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .
---------+----------+----------
 .  .  . |  .  .  . |  .  /  .
 /  /  / |  /  .  . |  .  /  /
 .  .  . |  .  .  . |  .  /  .
---------+----------+----------
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .

A candidate in r8c8 will sustain the eliminations in box 9. Can't figure out the fishiness of this hidden pattern.

Code: Select all
 .  .  . |  .  *  * | **  X  *
 /  /  / |  /  X  X |  X  /  X
 .  .  . |  .  *  * | **  X  *
---------+----------+----------
 .  .  . |  .  *  * |  .  /  .
 /  /  / |  /  X  X |  #  /  /
 .  .  . |  .  *  * |  .  /  .
---------+----------+----------
 .  .  . |  .  *  * | **  X  *
 /  /  / |  /  X  X |  X  /  X
 .  .  . |  .  *  * | **  X  *

 finned mutant jellyfish r248c8\c56b39 plus fin r5c7, implies r1379c7<>X


 .  .  . |  .  *  * |  *  X  *
 /  /  / |  /  X  X |  X  /  X
 .  .  . |  .  *  * |  *  X  *
---------+----------+----------
 .  .  . |  .  *  * |  .  /  .
 /  /  / |  /  X  X |  #  /  /
 .  .  . |  .  *  * |  .  /  .
---------+----------+----------
 .  .  . |  .  *  * | **  X  *
 /  /  / |  /  X  X |  X  #  X
 .  .  . |  .  *  * | **  X  *

 finned mutant jellyfish r248c8\c56b39 plus fins r5c7 and r8c8, implies r79c7<>X

It's a permuted two stack variant of this exemplar:
Code: Select all
 .  *  . |  *  X  * |  .  *  .
 /  X  / |  X  /  X |  /  X  /
 .  *  . |  *  X  * |  .  *  .
---------+----------+----------
 .  *  . |  .  /  . |  .  *  .
 /  X  / |  /  /  / |  /  X  /
 .  *  . |  .  /  . |  .  *  .
---------+----------+----------
 .  *  . |  *  X  * |  .  *  .
 /  X  / |  X  /  X |  /  X  /
 .  *  . |  *  X  * |  .  *  .
 Fig 4H: rrrc\ccbb
 rccc\rrbb transpose
 mutant jellyfish
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re: Franken and equivalent Mutant

Postby Pat » Tue Jan 09, 2007 1:36 pm

    the equivalents which i posted above are all same-size equivalents --
    • Franken Swordfish equivalent of Mutant Swordfish
    • Franken Jellyfish equivalent of Mutant Jellyfish

    ronk, you've identified Ruud's example as a finned Mutant Jellyfish 4H --
    so evidently it is also a finned Franken Jellyfish 4D
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Re: re: Franken and equivalent Mutant

Postby tarek » Tue Jan 09, 2007 1:50 pm

Pat wrote:ronk, you've identified Ruud's example as a finned Mutant Jellyfish 4H --
so evidently it is also a finned Franken Jellyfish 4D[/list]


I looked & looked, couldn't find a franken equivalent.....too many lines.....taking the boxes out leave few lines or intersections......

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finned 4D

Postby Pat » Tue Jan 09, 2007 2:10 pm

Ruud wrote:
Code: Select all
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .
---------+----------+----------
 .  .  . |  .  .  . |  .  /  .
 /  /  / |  /  .  . |  .  /  /
 .  .  . |  .  .  . |  .  /  .
---------+----------+----------
 .  .  . |  .  .  . |  *  .  .
 /  /  / |  /  .  . |  .  /  .
 .  .  . |  .  .  . |  *  .  .



    r258b6\c5679 ; fin at r5c7
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Re: re: Franken and equivalent Mutant

Postby ronk » Tue Jan 09, 2007 3:01 pm

Pat wrote:you've identified Ruud's example as a finned Mutant Jellyfish 4H --
so evidently it is also a finned Franken Jellyfish 4D

So noted, but I don't expect to be looking for equivalents every time.

It's like the duals of basic fish. With one fill (solved or given cell), there could be two complementary jellyfish. With three fills, there could be two swordfish. One equal-sized dual is clearly not preferred over the other.

For frankens and mutants, however, there is some preference for franken over mutant, but I don't think it's a big one -- for equal-sized fish.

That said, I'm now thinking that two fish interpretations for many hidden patterns should remain in, or be added to, the exemplar catalog -- at least during development. Unfortunately, doing so may soon make the catalog unwieldy, and probably even less useful.

P.S. When referring to exemplars, be advised the figure numbers are subject to change.
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Re: re: Franken and equivalent Mutant

Postby ronk » Tue Jan 09, 2007 5:38 pm

Pat wrote:the equivalents which i posted above are all same-size equivalents --
  • Franken Swordfish equivalent of Mutant Swordfish
  • Franken Jellyfish equivalent of Mutant Jellyfish

I've put exemplars based on (the following) identical hidden patterns together and permuted some to match the locations of empty cells and exclusion cells. The figures are also relabeled. Comments welcomed.

Code: Select all
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
---------+----------+----------      ---------+----------+----------
 *  X  * |  X  X  X |  *  X  *        /  X  / |  X  X  X |  /  X  /
 .  /  . |  /  /  / |  .  /  .        .  *  . |  *  *  * |  .  *  .
 *  X  * |  X  X  X |  *  X  *        /  X  / |  X  X  X |  /  X  /
---------+----------+----------      ---------+----------+----------
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 *  X  * |  *  *  * |  *  X  *        /  X  / |  /  /  / |  /  X  /
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 Fig 3B1: ccb\rrr                     Fig 3B1 inverse: rrr\ccb
 rrb\ccc transpose                    ccc\rrb transpose
 franken swordfish

Equivalents:
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
---------+----------+----------      ---------+----------+----------
 *  X  * |  .  .  . |  *  X  *        /  X  / |  .  .  . |  /  X  /
 X  /  X |  /  /  / |  X  /  X        X *X  X |  *  *  * |  X *X  X
 *  X  * |  .  .  . |  *  X  *        /  X  / |  .  .  . |  /  X  /
---------+----------+----------      ---------+----------+----------
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 *  X  * |  *  *  * |  *  X  *        /  X  / |  /  /  / |  /  X  /
 .  /  . |  .  .  . |  .  /  .        .  *  . |  .  .  . |  .  *  .
 Fig 3B2: rcc\rbb                     Fig 3B2 inverse: rbb\rcc
 rrc\cbb transpose                    cbb\rrc transpose
 mutant swordfish                     

Code: Select all
 .  *  . |  X  /  X |  .  *  .        .  /  . |  X  *  X |  .  /  .
 .  *  . |  X  /  X |  .  *  .        .  /  . |  X  *  X |  .  /  .
 .  *  . |  X  /  X |  .  *  .        .  /  . |  X  *  X |  .  /  .
---------+----------+----------      ---------+----------+----------
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
---------+----------+----------      ---------+----------+----------
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 Fig 4B1: rrrb\cccc                   Fig 4B1 inverse: cccc\rrrb
 cccb\rrrr transpose                  rrrr\cccb transpose
 franken jellyfish

Equivalents:
 .  *  . |  .  /  . |  .  *  .        .  /  . |  .  *  . |  .  /  .
 .  *  . |  .  /  . |  .  *  .        .  /  . |  .  *  . |  .  /  .
 .  *  . |  .  /  . |  .  *  .        .  /  . |  .  *  . |  .  /  .
---------+----------+----------      ---------+----------+----------
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X *X  X |  *  X  *
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X *X  X |  *  X  *
---------+----------+----------      ---------+----------+----------
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 Fig 4B2: rrrc\ccbb                    Fig 4B2 inverse: ccbb\rrrc
 ccbb\rrrc transpose                  rrrc\ccbb transpose
 mutant jellyfish

Code: Select all
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
---------+----------+----------      ---------+----------+----------
 .  *  . |  X  /  X |  .  *  .        .  /  . |  X  *  X |  .  /  .
 /  X  / |  /  /  / |  /  X  /        *  X  * | *X  * *X |  *  X  *
 .  *  . |  X  /  X |  .  *  .        .  /  . |  X  *  X |  .  /  .
---------+----------+----------      ---------+----------+----------
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X  *  X |  *  X  *
 .  *  . |  *  .  * |  .  *  .        .  /  . |  /  .  / |  .  /  .
 Fig 4D1: rrrb\cccc                   Fig 4D1 inverse: cccc\rrrb
 cccb\rrrr transpose                  rrrr\cccb transpose
 franken jellyfish

Equivalents:
.  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X *X  X |  *  X  *
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
---------+----------+----------      ---------+----------+----------
 .  *  . |  .  /  . |  .  *  .        .  /  . |  .  *  . |  .  /  .
 /  X  / |  /  /  / |  /  X  /        *  X  * |  *  *  * |  *  X  *
 .  *  . |  .  /  . |  .  *  .        .  /  . |  .  *  . |  .  /  .
---------+----------+----------      ---------+----------+----------
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 /  X  / |  X  /  X |  /  X  /        *  X  * |  X *X  X |  *  X  *
 .  *  . |  *  X  * |  .  *  .        .  /  . |  /  X  / |  .  /  .
 Fig 4D2: rrrc\ccbb                  Fig 4D2 inverse: ccbb\rrrc
 rccc\rrbb transpose                 rrbb\rccc transpose
 mutant jellyfish

Code: Select all
 *  *  . |  .  .  . |  .  *  *        /  /  . |  .  .  . |  .  /  /
 *  *  . |  .  .  . |  .  *  *        /  /  . |  .  .  . |  .  /  /
 X  X  / |  /  /  / |  /  X  X        X  X  * |  *  *  * |  *  X  X
---------+----------+----------      ---------+----------+----------
 X  X  / |  .  .  . |  /  X  X        X  X  * |  .  .  . |  *  X  X
 X  X  / |  .  .  . |  /  X  X        X  X  * |  .  .  . |  *  X  X
 X  X  / |  .  .  . |  /  X  X        X  X  * |  .  .  . |  *  X  X
---------+----------+----------      ---------+----------+----------
 X  X  / |  /  /  / |  /  X  X        X  X  * |  *  *  * |  *  X  X
 *  *  . |  .  .  . |  .  *  *        /  /  . |  .  .  . |  .  /  /
 *  *  . |  .  .  . |  .  *  *        /  /  . |  .  .  . |  .  /  /
 Fig 4E1: rrbb\cccc                   Fig 4E1 inverse: cccc\rrbb
 ccbb\rrrr transpose                  rrrr\ccbb transpose
 franken jellyfish

Equivalents:
 *  *  X |  .  .  . |  X  *  *        /  /  X |  .  .  . |  X  /  /
 *  *  X |  .  .  . |  X  *  *        /  /  X |  .  .  . |  X  /  /
 X  X  / |  /  /  / |  /  X  X        X  X *X |  *  *  * | *X  X  X
---------+----------+----------      ---------+----------+----------
 .  .  / |  .  .  . |  /  .  .        .  .  * |  .  .  . |  *  .  .
 .  .  / |  .  .  . |  /  .  .        .  .  * |  .  .  . |  *  .  .
 .  .  / |  .  .  . |  /  .  .        .  .  * |  .  .  . |  *  .  .
---------+----------+----------      ---------+----------+----------
 X  X  / |  /  /  / |  /  X  X        X  X *X |  *  *  * | *X  X  X
 *  *  X |  .  .  . |  X  *  *        /  /  X |  .  .  . |  X  /  /
 *  *  X |  .  .  . |  X  *  *        /  /  X |  .  .  . |  X  /  /
 Fig 4E2: rrcc\bbbb                    Fig 4E2 inverse: bbbb\rrcc
 self-transpose
 mutant jellyfish

When I finally (sigh) complete and post the current edit of the exemplar catalog -- which will presumably contain some version of the above -- expect this post to self-destruct.:)
ronk
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Posts: 4764
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Location: Southeastern USA

Postby Obi-Wahn » Fri Jan 12, 2007 2:44 pm

I'm not sure if you're aware of the locked candidates in r1b2 of Fig. 4G, so r2c5 and r3c5 can be eliminated, too, although that's not part of the fish pattern.
Code: Select all
 /  /  / |  X  /  X |  /  /  /
 .  .  . |  *  X  * |  /  .  . 
 .  .  . |  *  X  * |  /  .  . 
---------+----------+---------- 
 /  /  / |  .  /  . |  /  .  . 
 X  X  X |  *  X  * |  X  *  *
 X  X  X |  *  X  * |  X  *  *
---------+----------+---------- 
 .  .  . |  .  /  . |  /  .  . 
 .  .  . |  .  /  . |  /  .  . 
 *  *  * |  *  X  * |  X  *  *
 Fig 4G: rccb\rrrb           
 rrcb\cccb transpose       
 mutant jellyfish


This actual example is r1c57b4/r569b2. I've run this pattern through my program and it came up with two equivalent jellyfish r14c57/r9b256 and r14c7b8/r9c46b6. It's also equivalent with a franken squirmbag c57b134/r23569 or a franken whale c12357b3/r23569b7 along with dozens of other bigger fish, e.g. r1c123b35689/r569c4689b17 (no idea what you would call that).

However, I'm impressed by the patterns you guys can find manually so I'm not sure if you appreciate computerized help. To quote the philosophers in The Hitchhiker's Guide to the Galaxy: "What's the use of our sitting up half night arguing that there may or may not be a God if this machine only goes and gives you his bleeding phone number the next morning?"
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Obi-Wahn
 
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