Permute Last Layer Corners
Permuting means to rearrange the cubies into the right position. This is the second last step and it solves the corners. This step only requires the learning of one algorithm (yay!).
One of three things can happen. The first is if all the corners are solved (this includes just needing to rotate the yellow layer to make it solved). Nothing needs to be done and continue to the last step of Permuting Last Layer Edges.
The second is if you have two cubies with a color that is parallel. Two examples is shown below:
If they are not in line like the case on the left, then just turn the up layer until it becomes right. An example is the image on the right and all you have to do is make a U turn (no pun intended). To solve this case, hold the two parallel corners on the left and then perform the algorithm (R U R’ F’) (R U R’ U’ R’) F (R2 U’ R’ U’). The algorithm has been broken down into sections to make memorization easier. Below are two diagrams of what this algorithm does:
The third case is if there is are no two pieces parallel, then just use the algorithm that was just shown (it doesn’t matter from where the pieces are, juts make sure the last layer (yellow) is on the top). Then, it becomes reduced to the second case (as shown above).
If finished with this step correctly, it should look like the diagram below:
Now, you can continue to solve the last step: Permuting the Last Layer Edges.
Footnote: For the third case, there is a shorter way to do it. But, it requires learning another algorithm. If you are hoping to become fast at solving cubes, then this algorithm should be learned. F R U’ R’ U’ R U R’ F’ R U R’ U’ R’ F R F’. This algorithm switches the two diagonal corners (in specific top-right and bottom-left) which will directly solve case three.
Another footnote: The second case above is called the Jb Permutation. It comes with a side effects of two edges being switched. Try to discover what the side effect is or, cheat and go to the speedsolving.com wiki.
