I realized lots of people solve the last layer in a different way than mine, so I thought it would be interesting to post my method here.

*I DID NOT CREATE THIS METHOD* I learnt it from a friend and found some algorithms on the Internet.

After having the F2L solved, follow these steps:

-Make a cross on the last layer.

-Put the edges at the right place.

-Put the corners at the right place.

-Orient the corners.The cross: A few things may happen here, and all of them require this algorithm:

F R U R' U' F

(Oh, and I will assume you solve White first, and Yellow would be the last layer)

1. There are two edges with yellow up, forming an L like shape.

Turn the cube so that the L is pointing left and back ( like this: _| )

Apply F R U R' U' F twice (to gain speed, omit the last F', as you will have to make F again when repeating the algorithm)

2. There are two edges with yellow up, forming a line.

Turn the cube so that the line is horizontal ( like this: ---)

Apply F R U R' U' F once.

3. No edge has yellow facing up.

Apply F R U R' U' F once to have the L-like, or twice to the --- line.

Follow either 1. or 2.

4. All edges are with yellow facing up. Lucky!

Now for putting each edge at the correct place...There are only 3 possible cases here, and one is the "every edge correct" case.

Turn the UP face so that two edges are at the correct place.

1. The two right edges are adjacent.

Turn the cube so that these correct edges are facing back and right ( like this: |_ )

Apply R U R' U R U2 R' U

2. The two right edges are opposite.

Turn the cube so that the correct edges are facing back and front ( like this: | )

Apply R U R' U R U2 R' and follow step 1.

3. All edges are in the correct place. Lucky!

Now for putting each corner at the correct place, but without putting yellow up yet!

5 possible cases:

1. One corner is at the right place, others need to switch places in a clockwise movement

Turn the cube so that the correct corner is at the UFR (up, front, right) position.

Apply L' U R U' L U R' U'

2. One corner is at the right place, others need to switch places in a counter-clockwise movement

Turn the cube so that the correct corner is at the UFR (up, front, right) position.

Apply U' R' U L U' R U L' (or the alg. of step 1 twice)

3. No corners at the correct place, and they need to be switched in adjacent pairs.

Turn the cube so that the corners that need to be switched with each other are at F and B faces. In other words, UFR and URL switched, and UBR and UBL switched)

Apply F R U R' U' R U R' U' R U R' U' F'

(Easy way to memorize: F (R U R' U')*3 F' )

4. No corners at the correct place, and they need to be switched in diagonal pairs (imagine an X at the U face)

Apply R' B2 F R F' R' F R F' R' F R F' R' B2 R

(Easy way to memorize: R' B2 (F R F' R')*3 B2 R)

5. Every corner at the correct place. Lucky!

And finally, orient the corners:You only need to know these algorithms:

Turn clockwise: F D F' D' F D F' D'

Turn counter-clockwise: D F D' F' D F D' F'

Turn the cube so that one WRONG corner is at the UBR position and apply one of the above.

Then, turn ONLY THE UP FACE so that another wrong corner is at the UBR position.

Repeat for all wrong corners.

CONGRATS, YOU SOLVED THE LAST LAYER (and hopefully, the whole cube

)

Parts of my solve are at this site:

http://jeays.net/rubiks.htmSome algorithms are the same, but I hold the cube at a different position. For example, it's easier to make the corners with the cube at its side to use triggers (finger tricks).

I use this method and can solve the cube in between 40~50 seconds, less if I'm minimally lucky

I hope this was useful. Happy cubing!

EDIT: There may be some wrong algorithms, as I memorized the movements, but not the notation. I'm sure some of you do that too

Tell me if there's anything buggy.