So, I almost finished a rubik’s cube, but the last 3 pieces are not in their places (green on red face, blue on green face, and red on blue face). Apart from these, the other faces are done.

The proof

How can I finish solving the cube?

  • 2
    $\begingroup$ This was closed as a duplicate of a question about a situation where just two cubelets were swapped. It is not a duplicate of that question; here the permutation is a 3-cycle. I've reopened it. $\endgroup$ – Gareth McCaughan Apr 29 '19 at 16:09

If the three edge pieces you want to rotate are on the top layer at front, left and right, then the move $F^2UM^{-1}U^2MUF^2$ will permute them cyclically where $F$ means rotating the front face $90^{\circ}$ clockwise (so $F^2$ means rotating it $180^{\circ}$), $U$ means rotating the top (upper) face $90^{\circ}$ clockwise, and $M$ means rotating the vertical "middle slice" perpendicular to the front face $90^{\circ}$ towards you. See here for an animation.

This will move front $\rightarrow$ left $\rightarrow$ right $\rightarrow$ front which is actually the reverse of the direction you want; so either do it twice or do it backwards meaning $F^2U^{-1}M^{-1}U^2MU^{-1}F^2$. (Take the steps in reverse order, inverting each one, noting that e.g. $F^2$ is its own inverse.)

  • $\begingroup$ Thank you!I solved the cube without help,but thanks for sharing a few minutes to help me!I really appreciate it!I forgot an essential detail:after finishing the second layer i forgot to make sure i have the second square on the third layer on their right faces(that's after i made the yellow cross).And right after that i did the R algorithm for every unfinished corner and that's it.I had the cube solved for the first time conscious. $\endgroup$ – Adrian U. Apr 29 '19 at 15:57
  • $\begingroup$ @AdrianU. Tip: Use the check mark under the voting buttons to mark Gareth's answer as accepted. $\endgroup$ – CStafford-14 Apr 29 '19 at 20:04

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