SOLUTION


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This is a simple and quick presentation of the different and mostly used methods of resolution.


 LAYER BY LAYER METHODS

Layer by layer methods are very various and it is the most used ones.
Classically you complete the first then the second and finally the last layer. However, very often you start solving the second layer before having finished the first one, and sometimes the last layer is also started before having completed the second one. Nevertheless these methods are classified in the layer by layer methods.

Among these methods, most amateur cubists use a method very similar to mine.
Speedcubists use for a majority Fridrich's method. It consists in making a cross on the first layer, then placing the corner-cubes of the first layer and the cubes of the second one at the same time. Concerning the last layer, there are 2 steps :

  • orientation of all cubes (you turn all cubes with one algorithm so that they all have the color of the last layer at the top, without worrying about their position).
  • permutation of all cubes in one go.
    Fridrich's method requires to learn more than 50 algorithms...


     CORNERS FIRST METHODS

    These methods consist in firstly placing the corner-cubes of the Rubik's Cube. In fact it is the same than solving a 2x2x2 cube since we can see a 2x2x2 cube as a 3x3x3 Rubik's Cube of which only corner-cubes would have been kept.
    In a second time you solve the rest of the cube.
    Corners are very quick to place (with Gaétan Guimond described on his site, placing corners is extremely quick). But the problem is lie in the resolution of central slices which is rather slow, principally due to the great number of central slices movements which are longer than the rotation of a face of the cube.

    These methods are very less spread than layer by layer methods, but a few very good cubists use them, in particular Minh Thai, the world champion, and Marc Waterman who average under 20s.


     EDGES FIRST METHODS

    Firstly you place central slices, and finally the corners.
    These method are not very spread at all, probably due to their lack of efficiency. I didn't find any on the web, but apparently some few people use them. Anyway you can solve the cube this way, it's indisputable. But as for being really efficient with such a method...


     SPECIAL METHODS

    I'm principally think to Lars Petrus' method (see his page), the Swedish champion. It could be classified in the layer by layer methods, of which it is the most similar. But it is really original.

    Here are the different steps:

  • build a 2x2x2 corner
  • expand to 2x2x3
  • twist the edges (anticipation on the solving of the last layer)
  • finish 2 layers
  • position the corners (of the last layer)
  • twist the corners (of the last layer)
  • position the edges (of the last layer)



    For more details on the different existing methods, I recommend you this site, very well detailed.


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