Roux method
The Roux Method is a relatively new method, invented by Gilles Roux and is becoming quickly popular. Unlike Fridrich and Petrus, the inventor of this method has gotten a sub-15 second average with it. It is also somewhat unique in that the last step is intuitive.
The Steps
1. Build a 1x2x3 block on the lower left face, and hold it so that the U, M, and R slices are free.
2. Build a second 1x2x3 block on the lower right face, so that U and M slices are free.
3. Simultaneously orient and permute the remaining 4 corners on the top layer, ignoring the middle layer.
4. Orient the 6 remaining edges.
5. Solve the remaining left and right layer edges . 6. Solve the centers and edges in the M slice.
Pros
Like the Petrus method, the Roux method uses fewer moves than the popular Fridrich method. It is also more intuitive and requires fewer algorithms. Despite the M-heavy last step, it can also be extremely good for fewest moves competitions.
Cons
Block building can be difficult for a beginner to get used to. The reliance on r and M moves may also be difficult for some people, so much so that cubers who have trouble with M turns should probably not use this as their main method.
