Unavoidable Set
From Sudopedia, the Free Sudoku Reference Guide
Jump to navigationJump to searchAn unavoidable set is a deadly pattern from the point of view of a puzzle maker, or somebody who is investigating solution grids.
Take the following example:
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If there were no givens in any of these 6 cells, the solver would eventually reach a point were a choice must be made how to place digits 1 and 2 in them. The conclusion would be that the puzzle has 2 possible solutions. It is unavoidable for the puzzle maker to place at least one given in one of these cells.
The fact that this pattern cannot appear in a valid Sudoku gives rise to a whole new range of solving techniques in the category uniqueness.