Edge Pairing

Edge pairing is the process of joining two edge pieces together to form a single "edge" that behaves like a 3×3 edge. This is the first major step in solving the 4×4 cube.

Edge Pairing: Same Layer

Pair edges when both pieces are in the same layer.

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Edge Pairing: Different Layers

Pair edges when pieces are in different layers.

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Parity Algorithms

Parity cases are situations that are impossible on a 3×3 cube but can occur on even-layered cubes like the 4×4. These require special algorithms to resolve.

OLL Parity

Fix orientation parity on the last layer.

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PLL Parity

Fix permutation parity on the last layer.

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4×4 Reduction Method Overview

The reduction method is the standard approach for solving the 4×4 cube:

  1. Centers: Solve all 6 center pieces (4 pieces per center).
  2. Edge Pairing: Pair up all 24 edge pieces into 12 pairs (like 3×3 edges).
  3. Solve as 3×3: Once centers and edges are paired, solve using 3×3 methods.
  4. Fix Parity: If you encounter parity, use the parity algorithms.

Why Parity Happens: Unlike the 3×3, the 4×4 has no fixed centers, which allows for "impossible" states that require special algorithms to resolve.