XYZ-Wing

XYZ-Wing extends XY-Wing by having the pivot cell contain three candidates. The pivot has {X,Y,Z}, while wings have {X,Z} and {Y,Z}. Z can be eliminated from cells seeing all three.

Technique

1. Find a pivot cell with candidates {X,Y,Z}.
2. Find two wings: one with {X,Z}, another with {Y,Z}.
3. The pivot sees both wings.
4. Eliminate Z from cells that see all three cells.

Tips

• The pivot has 3 candidates; wings have 2 each.
• Eliminations are limited to cells seeing all three pattern cells.
• This is often more restrictive than XY-Wing but still useful.