Step‑by‑Step Guide to Solving a 4×4 Rubik's Cube (Printable PDF Included)

Why a 4×4 Cube Is Different

The 4×4 Rubik's Cube, also called the Rubik's Revenge, adds two extra layers of complexity compared to the classic 3×3. It has no fixed centre pieces, which means you must first align the centre clusters before solving the edges and corners.

Essential Terminology

Understanding the basic notation helps you follow any algorithm.

• U, D, L, R, F, B – Up, Down, Left, Right, Front, Back face turns (90° clockwise).
• U', D', … – Counter‑clockwise turn.
• U2, D2, … – 180° turn.
• Slice moves – M (middle vertical), E (middle horizontal), S (middle front‑back).

Overview of the Solving Method

Most speedsolvers use the "reduction" method, which treats the 4×4 as a 3×3 after pairing up edge pieces. The process consists of four main phases:

Phase 1 – Solving the Centres

Each face has a 2×2 block of centre pieces. Because they can move independently, you must create solid colour centres on all six faces.

Step 1: Create a colour block on one face

Pick a colour (commonly white). Use slice moves (M, E, S) combined with outer‑layer turns to bring the four matching centre pieces together.

Step 2: Complete the opposite face

Turn the cube 180° and repeat the process for the opposite colour (yellow). The remaining four colours will automatically form correct centres once the first two are fixed.

Phase 2 – Pairing the Edges

The 4×4 has 24 edge pieces, each appearing in pairs. Pairing them creates 12 "virtual" edges that behave like the 3×3 edges.

Common edge‑pairing algorithm

When two matching edge pieces are stacked on the front face, execute:

R U R' U' R' F R2 U' R' U' R U R' F'

This algorithm swaps a mis‑paired edge with a correctly paired one without disturbing the solved centres.

Phase 3 – Solving Like a 3×3

With centres solid and edges paired, treat the cube as a standard 3×3. Apply any familiar 3×3 solution method (CFOP, Roux, etc.). The only difference is that you must keep the paired edges together during turns.

Phase 4 – Resolving Parity Errors

Even‑layer cubes can present two unique parity situations that never occur on a 3×3.

Parity #1: Single Edge Flip

If a single edge appears flipped, use the following algorithm (performed on the top layer):

r2 U2 r2 U2 r2 U2 r2 U2

Here, r denotes a double‑layer right turn (R + inner slice).

Parity #2: Two Edge Swap

When two opposite edges are swapped, execute:

2R2 B2 U2 L' U2 R' U2 R' U2 F' U2 F2 U2 R2

This resolves the swap without breaking the rest of the cube.

Downloadable PDF Cheat Sheet

For quick reference while you practice, download our printable PDF that includes:

• Notation legend.
• All four phases broken into bite‑size steps.
• Both parity algorithms.
• A compact algorithm table for common cases.

Click here to download the PDF (2 MB)

Algorithm Summary Table

Tips for Faster Solving

• Practice centre solving until you can complete it in under 10 seconds.
• Learn multiple edge‑pairing cases to reduce inspection time.
• Keep your fingers relaxed; double‑layer turns (r, l, u, d) are faster when executed smoothly.
• Use the PDF as a rehearsal aid, but aim to solve without looking after a few attempts.

Common Mistakes and How to Avoid Them

Mistake 1: Disrupting solved centres while pairing edges. Solution: Perform edge‑pairing algorithms on the front face only, and restore centres with slice moves afterward.

Mistake 2: Ignoring parity until the final stage. Solution: After the 3×3 stage, check for flipped or swapped edges before celebrating a "solve".

Mistake 3: Treating the 4×4 as a 3×3 from the start. Solution: Master the centre and edge phases first; they form the foundation for a clean 3×3 reduction.