Solving a 4×4 means building six movable centers, pairing 12 wing edges, then finishing like a 3×3 with two parity algorithms in reserve.
Nothing on a 4×4 is locked: centers slide, every edge splits into two wings, and the last layer can land where a 3×3 never reaches. The fix is rebuilding the puzzle into a 3×3 first — the reduction method — and that is where learning how to solve a 4×4 speed cube starts. Six centers become a fixed framework, twelve paired edges stand in for 3×3 edges, and corners behave normally. Two short parity algorithms cover the arrangements a 3×3 cannot produce.
Solving A 4×4 Speed Cube: The Step Order That Works
Reduction finishes a 4×4 in three stages: build the six movable 2×2 centers, pair the 24 wings into 12 edges, then solve with outer-layer turns only.
- Build the centers. Join two 1×2 bars of one color into a 2×2 block. Finish two opposite faces, hold them left and right, then fill in the four side centers. Keep the manufacturer’s color scheme — a swapped center pair leaves a puzzle that will not solve.
- Pair the edges. Put matching wings at front-left and front-right on different horizontal layers, use a wide or inner-slice setup to join them, park the finished pair outside the working area, then reverse the setup to restore centers. The setup shifts with how the wings sit, so expect different moves each time.
- Solve it as a 3×3. Turn only the six outer faces —
R,U,F,L,D,B— using a layer-by-layer method you know. Wide or inner-slice turns here split paired edges and wreck centers.
Once reduced, the cube behaves like a fat 3×3, so a last-layer step that refuses to complete points to parity, not a wrong turn. The notation below is what the parity algorithms assume.
| Notation | What It Does | Where It Shows Up |
|---|---|---|
| Wing | One of the 24 single-sticker edge pieces | Two wings form one 3×3-style edge |
| Center block | A movable 2×2 group of one color | Stands in for a 3×3 center |
| Edge pair | Two matched wings joined together | Stands in for a 3×3 edge |
Rw |
Right two layers turned together | Edge setup and OLL parity |
r |
Inner right slice turned alone | PLL parity |
x |
Whole-cube turn on the right-face axis | OLL parity |
| Parity | A legal 4×4 state a 3×3 cannot reach | One flipped pair or two swapped pairs |
What Causes 4×4 Parity, And Which Algorithm Clears It?
Parity exists because a 4×4 has inner layers a 3×3 lacks, so it reaches two arrangements no 3×3 can: one edge pair that looks flipped (OLL parity) and two edge pairs that look swapped (PLL parity). Both are legal states, each with one algorithm.
If the last layer shows a single edge pair apparently flipped, run OLL parity: Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'. Rw turns the right two layers together and x rotates the whole cube around the right-face axis. Resume the last-layer solve afterwards; Jim Storer’s beginner’s method for the 4×4 cube documents the same sequence.
Two edge pairs swapped at the very end is PLL parity: r2 U2 r2 Uw2 r2 Uw2. Lowercase r is the inner right slice alone, and Uw turns the top two layers together. Run it, then finish the layer as usual. OLL parity concerns edge orientation; PLL parity is a final two-edge swap. Confusing the two wastes a solve, so confirm the symptom before turning.
Five Habits That Break A 4×4 Solve
Most failed 4×4 solves trace to one of five habits, each a small correction rather than a new method.
- Treating centers as fixed. They move every scramble, so keep the color scheme in your head.
- Leaving opposite centers wrong. Settle opposite pairs early or the solve dead-ends near the last layer.
- Parking finished pairs inside the working area. The setup move snaps back and shreds a center block.
- Using wide turns after reduction. Outer faces only once all twelve edges are paired.
- Reading parity as a defective cube. One flipped pair or two swapped pairs are legal states, not a bad scramble.
A stiff cube makes edge pairing harder, and wings drift loose when a layer catches; our tested 4×4 speed cube roundup covers the tension and magnet setups that hold a pair where you place it. Run the full solve in this order, restarting from the top whenever a stage breaks:
- Six centers, opposite faces first.
- All twelve edge pairs.
- Layer-by-layer 3×3 solve on outer faces.
- OLL parity for one flipped pair.
- PLL parity for two swapped pairs.
FAQs
Do Both Parity Algorithms Have To Be Memorized?
Only for the cases that need them, and a beginner can keep the sequences written beside the cube. OLL parity shows up far more often than PLL parity, so learn that one first and treat the six-move swap as a short follow-up. Neither is used during centers, edge pairing, or the first two layers.
Is A 4×4 Much Harder Than A 3×3?
The extra difficulty is concentrated rather than spread out. Reduction uses simple setup moves you can pick up in an afternoon, and the final stage reuses the layer-by-layer method you know. What takes longer is spotting which parity case you have, because both look similar to a beginner and lead to different algorithms.
Why Is The 4×4 Also Called The Rubik’s Revenge?
The 4x4x4 puzzle carries the Rubik’s Revenge name, and both labels describe the identical cube. It is an official World Cube Association event, with competition solves run under WCA Regulations. Nothing about the name changes the method: six centers, twelve edge pairs, then a 3×3 finish.
References & Sources
- Jim Storer, Brandeis University. “Beginner’s Method for Solving the 4×4 Cube” Supports the reduction stages and the OLL and PLL parity sequences.
- World Cube Association. “WCA Regulations” Covers the official event status of the 4x4x4 cube.
