XYZ-Wing extends XY-Wing by allowing the pivot to have three candidates.
Understanding the Concept
Pivot cell has three candidates {X,Y,Z}, wings have {X,Z} and {Y,Z}.
All three cells share the candidate Z.
Any cell seeing all three cells cannot contain Z.
More complex than XY-Wing because pivot has 3 candidates.
The extra candidate in the pivot makes this pattern more common.
Still requires careful pattern recognition.
Examples
XYZ-Wing Example
Pivot={1,2,5}, Wing1={1,5}, Wing2={2,5}. Cells seeing all three cannot be 5.
Pro Tips
- •Start with a cell having 3 candidates
- •Look for two bi-value wings sharing candidates
- •All three must share one common candidate
- •Eliminations only in cells seeing all three
