Weak Link Square - Revision history

Ruud at 21:04, 29 October 2021

2021-10-29T21:04:18Z

← Older revision		Revision as of 21:04, 29 October 2021
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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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	[[Category:Solving Techniques]]		[[Category:Solving Techniques]]
	[[Category:Sudoku-X]]		[[Category:Sudoku-X]]
			[[Category:Sudoku Variants]]

127.0.0.1 at 20:48, 28 October 2021

2021-10-28T20:48:57Z

← Older revision		Revision as of 20:48, 28 October 2021
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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''.

127.0.0.1 at 18:43, 28 October 2021

2021-10-28T18:43:53Z

← Older revision		Revision as of 18:43, 28 October 2021
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	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''.

	There are also [[Skewed Fish]] where the [[defining set]]s are [[diagonal]]s and the [[secondary set]]s are weak link squares. Here a [[Mutant X-Wing]] of this type:		There are also [[Skewed Fish]] where the [[defining set]]s are [[diagonal]]s and the [[secondary set]]s are weak link squares.

			<!-- Here a [[Mutant X-Wing]] of this type:

	[[Image:Mutant_skewed_xwing.gif]]		[[Image:Mutant_skewed_xwing.gif]]

	The X-Wing with candidate 1 is formed by the pink cells because the yellow cells doesn't contain this candidate.. The defining set are the diagonals and the secondary set the weak link squares R258C2+R5C5 and R357C7+R5C5. We can conclude for the green cells that they can't have candidate 1.		The X-Wing with candidate 1 is formed by the pink cells because the yellow cells doesn't contain this candidate.. The defining set are the diagonals and the secondary set the weak link squares R258C2+R5C5 and R357C7+R5C5. We can conclude for the green cells that they can't have candidate 1.
			-->

	[[Category:Solving Techniques]]		[[Category:Solving Techniques]]
	[[Category:Sudoku-X]]		[[Category:Sudoku-X]]

127.0.0.1 at 11:14, 27 October 2021

2021-10-27T11:14:52Z

← Older revision		Revision as of 11:14, 27 October 2021
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	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]]:

	[[Image:Weak ~~link square 1~~]] [[Image:Weak ~~link square 2~~]] [[Image:Weak ~~link square 4~~]]		[[Image:Weak Link Square1.gif]] [[Image:Weak Link Square2.gif]] [[Image:Weak Link Square4.gif]]

	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.

127.0.0.1 at 11:07, 27 October 2021

2021-10-27T11:07:40Z

← Older revision		Revision as of 11:07, 27 October 2021
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	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]]:

	[[Image:~~weak_link_square~~ 1]] [[Image:~~weak_link_square~~ 2]] [[Image:~~weak_link_square~~ 4]]		[[Image:Weak link square 1]] [[Image:Weak link square 2]] [[Image:Weak link square 4]]

	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.

127.0.0.1: Created page with "'''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, diagona..."

2021-10-27T10:53:08Z

Created page with "'''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, diagona..."

New page

'''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.

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

[[Image:weak_link_square 1]] [[Image:weak_link_square 2]] [[Image:weak_link_square 4]]

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.

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 set]]s are [[diagonal]]s and the [[secondary set]]s are weak link squares. Here a [[Mutant X-Wing]] of this type:

[[Image:Mutant_skewed_xwing.gif]]

The X-Wing with candidate 1 is formed by the pink cells because the yellow cells doesn't contain this candidate.. The defining set are the diagonals and the secondary set the weak link squares R258C2+R5C5 and R357C7+R5C5. We can conclude for the green cells that they can't have candidate 1.

[[Category:Solving Techniques]]
[[Category:Sudoku-X]]