The Last Layer
The last layer is solved on the top face. In our case, flip the cube so that the yellow center is on the top face.
Hold the cube so that the color you solved first is on the bottom. In our case white should be on bottom, and yellow will be on top.
The edges will be in one of the following patters. The diagrams below show the top face of the cube.
- Turn the top layer so the L is in the top left corner.
- Do F U R U' R' F'
- Turn the top layer so the line is horizontal.
- Do F R U R' U' F'
- Do the either the L algorithm to make a line appear.
- Solve the Line using the previous step.
Rotate the yellow face and try to get as many yellow corner pieces in place as possible. To make it easy just focus on one corner piece and rotate the yellow face until it is in the right spot.
The cube will be in one of the following states.
- All of the yellow corners are in the right spot. If this is the case then continue to corner orientation.
- Two adjacent corners are solved.
- Hold the cube so that the two edges you need to swap are in the front top right, and back front top positions.
- Do L U' R' U L' U' R U2
- Two diagonal corners are solved. You need to swap the other corners to get them in the right spot.
- Swapping two diagonal corners is done by performing the adjacent swap algorithm twice.
- Hold the cube in any position with yellow on top.
- Do L U' R' U L' U' R U2. There will now be two adjacent corners solved.
- Follow the steps for swapping two adjacent corners.
There are 8 orientation states for the last layer. (Including the solved state) All of them can be solved with one algorithm.
- Find which state the corners of your cube match with.
- Hold the cube according to the pattern in the table below.
- Do R U R' U R U2 R U
- If your corners aren't solved yet, repeat steps 1-3.
There are four different permutation states the last layer edges can be in, not including the solved state.
- Find the state that matches your cube.
- Hold the cube like shown in the picture.
- Perfom the algorithm that corrensponds to your state.
After this step your cube should be solved. Congratulations, you just solved your first cube. Don't worry if it isn't solved. You probably just made a small mistake.
With some practice you can solve the cube in under 60 seconds using this method. Using an advanced method you can achieve times of around 20 seconds with practice.