Congratulations! You have finished the second layer of the cube! Good job. Now we will be moving onto the last layer of the cube. To do the third layer first we position the corners, then orientate the corners, then position the edges, and then orientate the edges.
To start the last layer we will first need to do the Corners of it. We need to make sure they are in the right place, in the right orientation whilst also not messing up any other part of the cube.
Before we do any algorithms, we need to turn the last layer around a bit to see how many corners we can get in the right places, Only position is important whilst doing this.
The third layer we will need a few algorithms for. Position is first, orientation is second (for the corners).First we need to make sure our cube is upside-down so that the Yellow face is on the top. The first algorithm we will need to learn is to swap two opposite corners, this meaning that it will swap the 2 corners on the B/Back Face, in this situation the Green Face is the F Face. The algorithm for this is:
F U' B' U F' U' B U U
After this algorithm has been done it should have swapped the two corners on the B Face of your cube. Now you will need to swap your cube back over so that the white face is facing up.
Now we will be moving on to Orientation of the Corner Pieces. The first algorithm we will be teaching you is to twist 3 corners.
Since you will be twisting 3 and not 4 corners you have to choose one that is in the right position as your starting point, it will also be the one you dont twist.
If none of the pieces are in the right orientation you can do this algorithm which will twist 3 pieces meaning that at least one of the corners will end up in the right orientation.
If one of the pieces is the right orientation you want to position it like in this picture before doing this algorithm, The Green face is the F Face.
R' D' R D' R' D' D' R D' D'
Now you should have one or more corner pieces in the right orientation.
If you started with one piece the right orientation and ended with the same thing, you did twist the corners but need to be twisted again. Which means you just need to do the algorithm again.
The Algorithm above has another version to it, which is the mirrored version of the Algorithm so you will go one direction or the other (the left or the right)
Just in-case you are unsure of how the mirrored version works, here is the notations for it:
L D L' D L D D L'
That algorithm should work in almost the same way as the right version of it except twisting every corner but the left corner rather than the right corner.
Doing this algorithm in both directions one after another will twist 2 corners.
To twist the 2 left corners you would need to start the algorithm from the right side, and if you wanted to twist the 2 right corners u will need to start on the left side.
Congratulations! This now means that you have all the algorithms needed to solve all the corners on the last layer.
We will now be moving on to the Edges of the last layer.
There are only 3 algorithms for these edges, so lets take a look at those.
The first algorithm will be swapping 3 edge pieces, The picture shows which edge pieces will be moving where. You should be looking at the face that has the edge piece in the correct place.
The algorithm to do this is:
L' R F L R' D D L' R F L R'
The three pieces in the picture should have moved, If they are still not in the right place you need to use the same algorithm again.
You can also do this algorithm in the opposite direction, which moves the edge pieces in the opposite direction. The opposite algorithm is:
L' R F' L R D D L' R F' L R'
Using this algorithm you should be able to get all the edge pieces in the right position if not also doing the orientation.
In this situation two of the pieces are in the right place, but wrong orientation.
I'm going to show you a couple of algorithms to solve this situation. To start hold the cube so that the third layer is on the bottom, one edge piece to twist is on the front face and the other is on the right face.
L' R F L R' D L' R F L R' D L' R F L R' D
This twists the two edge pieces, but it also swaps the edge pieces to opposite sides. This is easy to fix by doing:
L L R R U U L L R R D L L R R U U L L R R D
sometimes you will have two opposite edge pieces the wrong orientation, the way to fix this is to do the first part of the above algorithm twice. When done twice you dont need to swap the opposite edges. To start, one of the edge pieces should be on the front face and the other on the back face also with the white face facing up.
L' R F L R' D L' R F L R' D L' R F F L R' D L' R F L R' D L' R F L R' D D.
Congratulations! You now should be able to solve THE ENTIRE cube. Good job!