Notation


                                                                  Let the faces be denoted by the letters L, R, F, B, U and D (Left, Right Front,                                                                   Back, Up and Down). Clockwise quarter turns of a face are denoted by the                                                                   appropriate letter, anti-clockwise quarter turns by the letter with an apostrophe                                                                   (i.e. L', R', F', B', U' or D'). Half turns are denoted by the letter followed by a 2                                                                   (i.e. L2, R2, F2, B2, U2 or D2).

                                                                  Note that on this cube the moves LR' is simply a rotation of the whole cube.                                                                   Similarly FB' or UD'. Therefore moving only three adjacent faces is enough to                                                                   solve the cube. If we only use the F, R and D faces to solve it, then the UBL corner is never moved from its place, and the other pieces are simply placed so they line up with it. The solution below will use all the faces because it is based on a solution for the normal Rubik's Cube.

Solution


Phase 1: Solve the top layer.
  1. Decide which colour you want to place on the top face. Then hold the cube so that at least one piece already shows that colour on the top face. The remaining pieces on the top face will be placed relative to that piece.
  2. Find a piece in the D layer that belongs in the U layer. Rotate D so that the piece is below its destination and rotate the whole cube to get it to the front right. If all the U layer pieces are already in the top layer though some are wrongly placed then choose any D piece to displace any wrong piece from the U layer.
  3. Depending on its orientation, do one of the following:
    1. To move FRD->URF do FDF'
    2. To move RDF->URF do R'D'R
    3. To move DFR->URF do FD'F'R'D2R
  4. Repeat b-c until the top layer is done.

Phase 2: Place the bottom layer pieces, ignoring orientation.

  1. Rotate the D layer to get at least two pieces in the correct position, though they may be twisted.
  2. If necessary swap two pieces by using the following:
    1. To swap DFR, DBL do F'R'D'RDFD'
    2. To swap DFR, DFL do FDF'D'R'D'R

Phase 3: Twist the bottom layer pieces correctly.

  1. Do one of the following sequences to solve the remaining pieces. Clockwise twists are denoted by a +, anti-clockwise ones by a -.
    1. To twist DFL-, DBL+do R'D'R F' DR'DR D2F2
    2. To twist DFL+, DBL-do F2D2 R'D'RD' F R'DR
    3. To twist DFL-, DBR+do R2D'R D2R'D2R D'R2D
    4. To twist DFR-, DRB-, DBL-do R'D'RD' R'D2RD2
    5. To twist DFR+, DRB+, DBL+do D2R'D2R DR'DR
    6. To twist DFR-, DRB+, DBL-, DLF+do R2D2 R D2R2 D
    7. To twist DFR+, DRB-, DBL-, DLF+do RDF R2D2F2 DF'DR2

This solution takes at most 24+8+10=42 moves. The other solution included in the Solving section is loosely based on the "thistlewaite" algorithm adapted for the 2󫎾 cube. It uses fewer moves than this solution, but is far more complicated since it uses a large table of sequences.