Difference between revisions of "Weak Link Square"

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'''Weak link squares''' are a property of several [[Sudoku Variations|sudoku variants]]. A weak link square is a set of four cells that are not all in one group (line, diagonal ...) and of that each pair of cells is weak linked. So its impossible that any two cells of this square have the same value.
'''Weak link squares''' are a property of several [[Sudoku Variant]]s. A weak link square is a set of four cells that are not all in one group (line, diagonal ...) and of that each pair of cells is weak linked. So its impossible that any two cells of this square have the same value.


The following diagrams shows 3 types of weak link squares in [[Sudoku-X]]:
The following diagrams shows 3 types of weak link squares in [[Sudoku-X]]:
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In weak link squares there work techniques like [[Naked Pair]]s and [[Naked Triple]]s.
In weak link squares there work techniques like [[Naked Pair]]s and [[Naked Triple]]s.


If we have additional that in such a square there are only 4 different candidates at all then also many other techniques like [[Hidden Single]]/[[Hidden Pair]]/[[Hidden Triple]], weak link square-line interaction, weak link square-diagonal interaction, [[Pointing Pair]], [[Pointing Triple]] and [[Pointing Quad]] work.
If we have additional that in such a square there are only 4 different candidates at all then also many other techniques like [[Hidden Single]]/[[Hidden Pair]]/[[Hidden Triple]], weak link square-line interaction, weak link square-diagonal interaction, [[Pointing Pair]] and [[Pointing Triple]] work.


Adding as 5th cell R5C5 to weak link squares of the first type we get ''weak link pentagons'' with similar properties. There exist in many sudoku variants also ''weak link triangles''.
Adding as 5th cell R5C5 to weak link squares of the first type we get ''weak link pentagons'' with similar properties. There exist in many sudoku variants also ''weak link triangles''.
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[[Category:Solving Techniques]]
[[Category:Solving Techniques]]
[[Category:Sudoku-X]]
[[Category:Sudoku-X]]
[[Category:Sudoku Variants]]

Latest revision as of 23:04, 29 October 2021

Weak link squares are a property of several Sudoku Variants. A weak link square is a set of four cells that are not all in one group (line, diagonal ...) and of that each pair of cells is weak linked. So its impossible that any two cells of this square have the same value.

The following diagrams shows 3 types of weak link squares in Sudoku-X:

Weak Link Square1.gif Weak Link Square2.gif Weak Link Square4.gif

In weak link squares there work techniques like Naked Pairs and Naked Triples.

If we have additional that in such a square there are only 4 different candidates at all then also many other techniques like Hidden Single/Hidden Pair/Hidden Triple, weak link square-line interaction, weak link square-diagonal interaction, Pointing Pair and Pointing Triple work.

Adding as 5th cell R5C5 to weak link squares of the first type we get weak link pentagons with similar properties. There exist in many sudoku variants also weak link triangles.

There are also Skewed Fish where the defining sets are diagonals and the secondary sets are weak link squares.