Hard Difficulty

4×4 Rubik's Revenge Welcome to the World of Parity

The 4×4 Rubik's Revenge introduces concepts that don't exist on the 3×3 — center building, edge pairing, and the dreaded parity errors. It's the gateway to big cube solving and teaches skills essential for all larger NxN puzzles.

Pieces 56 (24 center pieces, 24 edge wings, 8 corners)

Permutations 7.40 × 10⁴⁵

God's Number Unknown (estimated ~50)

World Record 16.79s (Max Park)

Inventor Péter Sebestény

Year 1981

Interactive 3D 4×4 Rubik's Revenge

Interactive 4×4 Rubik's Cube Solver — scramble the puzzle and watch the step-by-step solution.

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History & Background

Invented by Péter Sebestény in 1981, the 4×4 was originally called 'Rubik's Revenge' as a marketing sequel to the original. The puzzle was a mechanical challenge — early models were extremely stiff and prone to popping. Modern magnetic speedcubes have made the 4×4 a popular WCA event.

Notation Guide

Standard WCA notation used for this puzzle. Prime (') means counter-clockwise, 2 means 180° turn.

Rw Two right layers together 90° clockwise (wide move)

Rw' Two right layers together 90° counter-clockwise

r Inner right slice only (lowercase = inner slice)

R Outer right face only

U Up face 90° clockwise

Uw Two upper layers together (wide)

x Rotate entire cube on R axis

Visual Guide & Cheat Sheet

A complete visual guide illustrating the puzzle's structure, standard layer movements, and key solving stages.

4×4 Rubik's Revenge Visual Guide Infographic

Step-by-Step Solving Guide

Step 1: Solve Centers

Build all 6 center blocks (2×2 centers). Start with white, then opposite (yellow), then the remaining 4. Use commutators to avoid disturbing solved centers. This is the most intuitive step.


                                                Rw U Rw'


                                                Rw U2 Rw'

Always solve opposite centers first (white-yellow), then adjacent pairs. This minimizes rework.

Step 2: Pair Edges

Pair all 12 edges by combining two matching edge pieces into one 'virtual 3×3 edge'. Use the Freeslice technique for maximum efficiency.


                                                Uw' R U R' Uw


                                                Uw L' U' L Uw'

Learn the Yau method — it solves 3 cross edges during center building for faster times.

Step 3: Solve as a 3×3 (Reduction)

Once centers are built and edges are paired, the cube behaves like a 3×3! Solve it with your preferred 3×3 method (CFOP, Roux, etc).


                                                Standard 3×3 algorithms apply

This is called the "Reduction" method — reduce the 4×4 to a 3×3, then solve.

Step 4: Fix Parity (if needed)

4×4 has two parity cases that don't exist on 3×3: OLL Parity (single edge flip) and PLL Parity (adjacent edge swap). These require special algorithms.


                                                Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'


                                                r2 U2 r2 Uw2 r2 u2

OLL Parity appears ~50% of the time. PLL Parity appears ~50% of the time. Practice these algorithms until they're muscle memory.

Key Algorithms

Name	Algorithm	Use Case
OLL Parity	`Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'`	Fix single edge flip on last layer
PLL Parity	`r2 U2 r2 Uw2 r2 u2`	Fix adjacent edge swap on last layer
Edge Pairing (Basic)	`Uw' R U R' Uw`	Pair edge pieces together
Edge Pairing (Reverse)	`Uw L' U' L Uw'`	Pair edges from opposite side
Center Commutator	`Rw U Rw' U Rw U2 Rw'`	Build center pieces without disturbing others

Common Mistakes to Avoid

Breaking solved centers while pairing edges — use slice moves (Uw) instead of face moves to preserve centers.

Not recognizing parity cases early — check your last layer edges before committing to OLL.

Pairing edges one at a time instead of using efficient multi-pair techniques.

Choosing wrong center color orientation — plan your center colors before building them.

Frequently Asked Questions

What is parity on a 4×4?

Parity occurs because the 4×4's internal mechanism allows states that are impossible on a 3×3. When you reduce the cube, sometimes the edge or corner positions end up in a state that can't be solved with standard 3×3 algorithms — requiring special parity algorithms to fix.

Do I need to know how to solve a 3×3 first?

Yes! The 4×4 reduction method relies entirely on being able to solve a 3×3 after reducing. Master the 3×3 before attempting the 4×4.

How long does it take to learn the 4×4?

If you can already solve a 3×3, expect 1-3 days to learn the 4×4 basics. The main new skills are center building and edge pairing. Parity algorithms just need memorization.

What is the Yau method?

Developed by Robert Yau, this method solves 2 opposite centers → 3 cross edges → remaining 4 centers → remaining edges → 3×3 stage. It's faster than standard reduction because cross edges are partially solved early.

Pro Tips & Tricks

The Yau method is the most popular speedsolving method — it integrates cross edges into center building.
Practice center building with commutators before learning any algorithms.
For edge pairing, try to pair 3 edges at once using the "3-2-3 edge pairing" technique.
OLL Parity algorithm is long — practice it slowly first, then speed up as muscle memory develops.
Use a magnetic 4×4 for better stability. The MoYu AoSu WR M and YJ MGC 4×4 are excellent choices.
Color neutrality is harder on 4×4 due to center building. Start by being dual-color neutral (white/yellow).

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