https://www.sudopedia.org/index.php?title=Fish&feed=atom&action=historyFish - Revision history2024-03-28T19:13:31ZRevision history for this page on the wikiMediaWiki 1.34.1https://www.sudopedia.org/index.php?title=Fish&diff=161&oldid=prevRooted: Created page with "The term '''fish''' is now accepted by most players as a name for all single-digit solving techniques which eliminate candidates by comparing sets of rows..."2020-06-01T00:39:36Z<p>Created page with "The term '''fish''' is now accepted by most players as a name for all <a href="/wiki/Single-digit" title="Single-digit">single-digit</a> <a href="/wiki/Solving_technique" title="Solving technique">solving techniques</a> which <a href="/wiki/Eliminate" title="Eliminate">eliminate</a> <a href="/wiki/Candidate" title="Candidate">candidates</a> by comparing sets of <a href="/wiki/Row" title="Row">rows</a>..."</p>
<p><b>New page</b></p><div>The term '''fish''' is now accepted by most players as a name for all [[single-digit]] [[solving technique]]s which [[eliminate]] [[candidate]]s by comparing sets of [[row]]s and [[column]]s.<br />
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Aliases are '''seafood''' and '''sealife'''.<br />
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Not all sizes of fish were discovered at the same time. Size 2 was already familiar to many players before they realized that the same trick could also be performed with more than 2 rows and columns. Here is a list of names given to fish of different sizes. They are often seen as different solving techniques. The term '''Swordfish''' has also been in use for all types of fish with more than 2 rows or columns.<br />
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== Introducing Boxes ==<br />
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It became clear in the [http://www.sudoku.com/forums/viewtopic.php?p=23576#23576 big fish] discussion that fish did not need to be restricted to rows and columns alone. It is also possible to include [[box]]es in the pattern. Nowadays, any single-digit pattern that compares 2 partially overlapping [[constraint]] sets of equal size is called a '''fish'''. In standard Sudoku, the sets can contain [[row]]s, [[column]]s, and [[box]]es. In [[Sudoku Variations]] with additional constraints, any combination is possible. This viewpoint allows us to redefine a [[Law of Leftovers]] move as a fish pattern. In [[Killer]] Sudoku, constraint sets can also include [[cage]]s, as long as each cage involved is known to contain the digit on which the Fish pattern is based.<br />
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== Constraint Sets ==<br />
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In each fish, we consider 2 sets of constraints. Both sets must partially overlap. The sets are called the [[defining set]] and the [[secondary set]].<br />
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These are the rules to select these sets:<br />
* [[House]]s may overlap within a set, but in the defining set, the overlapping cells may not contain any candidates. It is imperative that each candidate can only satisfy a single constraint within this set.<br />
* Each house in the defining set must overlap at least one house in the secondary set.<br />
* Each house in the secondary set must overlap at least one house in the defining set.<br />
* All candidates in the defining set must also belong to a house in the secondary set. Each of the overlapping candidates must belong to a single house in the secondary set.<br />
* The secondary set must have candidates which do not belong to the defining set. These surplus candidates are the ones to be eliminated. The surplus candidates may belong to more than one house in the secondary set.<br />
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== Fins ==<br />
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A [[fin]] is a candidate or group of candidates in the defining set, which does not belong to the secondary set. It is a surplus to the underlying fish pattern. For each finned version of a fish pattern, we can only eliminate in cells in that we could eliminate with respect to the fish pattern and that can see all fins.<br />
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== Species ==<br />
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; Basic Fish<br />
: Rows vs. columns or columns vs. rows.<br />
: [[X-Wing]] (2) | [[Swordfish]] (3) | [[Jellyfish]] (4) | [[Squirmbag]] (5)<br />
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; [[Finned Fish]]<br />
: Basic Fish with additional candidates in a single box.<br />
: [[Finned X-Wing]] | [[Finned Swordfish]] | [[Finned Jellyfish]]<br />
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; [[Sashimi Fish]]<br />
: Finned Fish without candidates for the basic pattern in the box containing the fin.<br />
: [[Sashimi X-Wing]] | [[Sashimi Swordfish]] | [[Sashimi Jellyfish]]<br />
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; [[Franken Fish]]<br />
: Boxes are allowed in either the defining set or the secondary set.<br />
: [[Franken Swordfish]] | [[Franken Jellyfish]]<br />
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; [[Mutant Fish]]<br />
: Any type of fish which does not fit in one of the other categories.<br />
: [[Mutant Swordfish]] | [[Mutant Jellyfish]]<br />
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; [[Kraken Fish]]<br />
: A fish pattern with indirect connections to a candidate which can be eliminated.<br />
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Some people use the term '''N-Fish''' to refer to a (basic) fish of '''N''' [[row]]s or [[column]]s. That is:<br />
* A '''1-Fish''' is a [[Hidden Single]].<br />
* A '''2-Fish''' is a [[X-Wing]].<br />
* A '''3-Fish''' is a [[Swordfish]].<br />
* A '''4-Fish''' is a [[Jellyfish]].<br />
* A '''5-Fish''' is a [[Squirmbag]].<br />
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== Fish and Subsets ==<br />
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Fish and [[Subset]]s are complementary to each other. One can transform a problem of finding a fish into a problem of finding a subset, and vice versa. See [[Fish and Subsets]] for more.<br />
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== External Links ==<br />
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* [http://forum.enjoysudoku.com/big-fish-t3496.html Big fish]<br />
* [http://forum.enjoysudoku.com/the-ultimate-fish-guide-t4993.html The Ultimate FISH Guide]<br />
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== See Also ==<br />
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* [[Project:Fish diagram]]<br />
* [[Skewed Fish]] ([[Sudoku-X]])<br />
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{{incomplete}}<br />
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[[Category:Solving Techniques]]<br />
[[Category:Single-Digit]]</div>Rooted