Rubiks Revenge

The Rubiks Revenge is the name of the 4x4 Rubiks Cube.

Solution Procedure

Main article: Rubiks Revenge/Layer Method

The short version:

1. Solve Centers 2. Align Double-Edges 3. Solve the 3x3 4. Last Layer Double Edges (even vs odd parity case) 5. Last Layer Corners

For details and pictures for these solution steps, see Rubiks Revenge/Layer Method.

Algorithms

Double Edge Alignment Algorithms

Double Edge Algorithms
Bring Together Two Opposite Double Edge Cubies	This algorithm should be applied once all four top double edges and all four bottom double edges are solved, and there only remain four double edges to orient. This algorithm should be applied when two double edge pieces are twins, but both are located across from one another on a cube face. Orient the two twin double edges so they mirror one another, then execute the algorithm: d R F' U R' F d'

(Note this algorithm is also applicable to the Professors Cube, which also has a solution step requiring double edges to be correctly oriented.)

Last Layer Algorithms

Parity Algorithms
Fix Two Swapped Corners:	Start with the cube oriented with the two swapped corners on the top-left and top-right corners of the front face. Then execute the algorithm: R U' R B2 L' D L B2 R2 U 2R2 F2 2R2 f2 2R2 2F2
Fix Single Inside-Out Dedge:	Start with the cube oriented with the inside-out dedge at the top of the front face. Then execute the algorithm (broken into pieces to make it easier to remember): r' D' 2U' u' r 2F r' u r 2F' r' 2F' u' 2F u 2F 2U D r

References

See https://charlesreid1.com/wiki/Rubiks_Cube#References

This is a fantastic definitive list of algorithms for the 4x4 cube: https://www.speedsolving.com/wiki/index.php/4x4x4_Parity_Algorithms