XYZ-Wing

المستوى 7 · Green Belt

المتطلب السابق: Wings

Overview

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.

How It Works

  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.

Example

Find a three-candidate pivot cell r2c6 connected to two wing cells.

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Tips & Patterns

  • 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.