XYZ-Wing is very similar to Y-Wing with the exception of an extra candidate Z
in the hinge cell. Let us phrase the setup in the same way as for Y-Wing. XYZ-Wing requires a hinge cell containing
candidates X, Y and Z. The two non-hinge cells must have candidates XZ and YZ. Eliminations are fewer for this method
, as the eliminated candidate Z, should see all three cells.
Let us clarify the setup with the following example. The hinge cell is B5 with candidates X=2,
Y=8 and Z=3 (Z is highlighted in all cells).
If B5 is 2, then A4 is 3 and we can eliminate the candidate 3 from B4.
If B5 is 8, then B1 is 3 and we can still eliminate the 3 from B4.
Finally, if B5 is 3, then B4 cannot be 3. So in all cases we can eliminate the highlighted candidate in cell B4.
This example of an XYZ-Wing has 2 eliminations. The hinge cell is F4 with candidates X=8, Y=9 and Z=7. Following the same logic as in the above example, any value we place in the hinge cell would eliminate the Z candidate from F5 and F6.