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Turbot Fish

Points. A Turbot Fish is a single-digit solving technique that uses a loop of odd length, where length refers to strong or weak links. The minimum length is therefore 5 and the minimum number of thruths is 2. Turbot Fish are chain-like rank 1 structures.  The name come from their fish-shaped patterns. Longer loops are possible, but they are better known as Fishy Cycles. Minimum length Turbot Fish are sometimes called Skyscrapers or Two Sting Kites. Turbot Fish are rank 1.

 

Turbot Fish. The first turbot fish example is also a vertical skyscraper, which works like a very simple chain. The cover link regions are highlighted showing the overlap region between box 1 and row 2.

 

In terms of implications:

 

9r2c7  => r2c3<>9

r2c7<>9 => 9r8c7 => r8c2<>9 => 9r2c2 =>  r2c3<>9

 

In terms of truths and covers, 2 truths + 3 covers imply any candidate covered by two links can be eliminated. Thus r2c3<>9.  The elimination region includes all three cells in the intersection of box 1 with row 2.

 

Box/row Turbot Fish. This turbot fish again works like a very simple chain. It is different from the first example becasue it uses a box truth and a row truth.

 

In terms of truths and covers, 2 truths + 3 covers imply any candidate covered by two links can be eliminated. Thus r8c2<>5

 

Row/Column Turbot Fish. Example 3 is both a Turbot Fish and a Crossed Two String Kite.  It uses a row truth and a column truth.

 

In terms of truths and covers, 2 truths + 3 covers imply any candidate covered by two links can be eliminated. Thus r8c3<>4

 

Length 7 Turbot Fish. A Turbot Fish with a length of 7 is made of 3 truths and 4 cover links. This pattern is also known as a Fishy Cycle.

 

In terms of truths and covers, 3 truths + 4 covers imply any candidate covered by two links can be eliminated. Thus r9c2<>9

 

Fully Grouped Turbot Fish. A Turbot Fish with a length of 7 is made of 3 truths, all of which are boxes, and 4 cover links. All of the six connections between truths and covers are grouped, using more than 1 candidate.

 

The logic is again simple in terms of truths and covers, 3 truths + 4 covers means a rank of 1 thus any candidate covered by two links can be eliminated. Thus r8c5<>2