SOLUTION


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To solve the last layer, turn again the cube upside down with the uncompleted face on the top:


 FIRST STEP : MAKING A CROSS

We are going to make a blue cross, without worrying about the order of the cubes that form the cross.
One algorithm and its reverse are necessary:

If you have no blue cubes on the top (except the center piece), then you'll have to do firstly one of the algorithms (it doesn't matter the one you choose).


 SECOND STEP : ORIENTING THE CROSS

The following algorithm has this effect :
The front cube of the cross doesn't move and the other 3 switch round clockwise.



If you want the 3 cubes to turn counter-clockwise, apply 2 times the algorithm or apply the reverse algorithm (R U R' U R U2 R').
Another solution is to turn the upper face and to put another cube in the place of the front cube. It is ALWAYS possible to apply only one time the previous algorithm, all you have to do is to find how the cube and its upper face have to be turned.
You can also have a look at tricks section.
Train a little, and you'll see it's not really hard.


 THIRD STEP : PLACING CORNERS

The purpose of this step is to place each corner-cube in its final place, but without worrying about its orientation for the moment. Thus, for example, the blue-orange-yellow corner-cube has to go in its final place, but not necessarily well turned on itself.



If you want the corners to switch counter-clockwise, apply the algorithm 2 times or apply the reverse algorithm (U R U' L' U R' U L').

Repeat this step as many times as necessary (when you are used to solve the cube you'll see that 2 times is sufficient).


 FOURTH STEP : ORIENTING THE CORNERS

The algorithm is a little long, but maybe you'll notice that in fact you already know the first part (algorithm of the second step).



Repeat this step as many times as necessary.
Have a look at the next page (tricks) if you want to optimise this step and the other ones.


Tricks


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