CFOP method


CFOP (Cross, F2L, OLL, PLL, pronounced CFOP or Cfop) is a 3x3 speedsolving method proposed by several cubers around 1981. It is also known as the Fridrich Method after its popularizer, Jessica Fridrich. In part due to Fridrich's publication of the method on her website in 1995, CFOP has been the most dominant 3x3 speedcubing method since around 2000, with it and its variants used by the vast majority of the top speedcubers such as Feliks Zemdegs, Max Park, Sebastian Weyer, Mats Valk, etc.
Origin and Naming Dispute
Jessica Fridrich is often erroneously credited as the sole inventor of CFOP. In reality, many developments were made in the early '80s by other cubers who have contributed to the method in its current form. The constituent techniques and their original proposers are as follows:
 Cross: David Singmaster
 F2L (4x corner + edge pairs): René Schoof
 OLL/PLL: Hans Dockhorn, Kurt Dockhorn, Anneke Treep, with many algorithms developed by Jessica Fridrich
During the resurgence in speedcubing's popularity in the late '90s and early 2000s, there was a general lack of information on the sport. Fridrich's website offered a vast wealth of information for those entering the sport, including a full description of CFOP with complete lists of algorithms. As a result, many who learned from her website began to call this method the "Fridrich Method."
Several highprofile cubers have long disputed this terminology; Ron van Bruchem, famously, has publicly written that he will never call CFOP the "Fridrich Method." This issue has become welladvertised within the cubing community around the year 2008, likely because of this. The term "CFOP" has become more popular since then.
While some cubers still insist on the term "CFOP," Fridrich's contribution to the popularization of the method is undeniable, and many others accept the term "Fridrich Method" as established terminology and a perfectly valid synonym for "CFOP."
Steps
CFOP can be viewed as an advanced version of a LayerByLayer method. It takes the same steps, but combines some of them, solving more of the cube at once.
Cross
Virtually all top CFOP solvers nowadays solve the cross on bottom to avoid doing a z2 or x2 cube rotation. Previously in the 2000s it was also popular to solve on a different face, for example Cross on left. Many top solvers are also color neutral, meaning they are able to solve the cross on any color. This allows them to find better solutions in many cases. 
F2L (First Two Layers)

OLL (Orientation of the Last Layer)
Those new to OLL break up the step into two. This greatly reduces the number of cases; 2look OLL has 9 cases. However, note that this is a few seconds slower 
PLL (Permutation of the Last Layer)
Those new to PLL break up the step into two. This greatly reduces the number of cases; 2look PLL has 6 cases. However, note that this is a few seconds slower 
Pros
 Easy to learn  CFOP is widely considered to be the easiest method to learn, as it transitions easily from beginner's methods.
 Doesn't require a large understanding of how the cube works  Due to the lack of blockbuilding or edge orientation needed in CFOP, the method relies more on pattern recognition and algorithms. Although the cross and F2L are solved intuitively, they are more straightforward than the blockbuilding with Roux or the edge orientation and blockbuilding with ZZ.
 Is by far the most researched method  As CFOP is the most widely used method and has been for many years, there has been far more research done on CFOP than any other method, which means more resources, a larger variety of algorithms to choose from, and more community members to assist and give advice. All world records for the 3x3 Rubik's Cube since 2003 have been set with CFOP, with the exclusion of Kian Mansour's 9.54 onehanded Ao5 in May 2018.
 Statistically the fastest speedsolving method  Statistically speaking, CFOP has proven to currently be the fastest method, despite the move count. As of June 1, 2016, the top four speedsolvers in 3x3 average use the method, as well as the top fifteen speedsolvers in 3x3 single.
Cons
 Algorithms  CFOP with 4 Look last layer makes a total of 16 algorithms (10 2look OLL algs and 6 2look PLL algs). Full CFOP has 57 OLLs and 21 PLLs for a total of 78 algorithms. If a person learned one full CFOP alg a day (OLL and PLL), it would take a bit over 2 and a half months to learn all of them.
 Move count  CFOP has a slightly higher average movecount than that of ZZ and much higher movecount compared to Roux.
 Reliance on Inspection  CFOP relies on the use of inspection time, in order for the cross (and the first pair, depending on how advanced the user is) to be solved quickly. In instances where there is no inspection time, such as big cube solves where one must transition between the cube's reduction and 3x3x3 steps, this can be a drawback as the cross has to be done on the fly rather than being planned out. Although this may be the case, CFOP is still the most popular choice for the 3x3x3 stage on big cubes as the planning and execution of a Roux or ZZ solve is typically more difficult than doing CFOP.
 Difficulty of Cross  Planning the cross during inspection can take a while to master. It requires a fair amount of experience, similar to planning the first block with Roux or the EOLine with ZZ.
 Rotations  Unlike Roux or ZZ, CFOP has rotations, which may slow one down.
See also
F2L 
Permutations of corners only 

Permutations of edges only 

Permutations of corners and edges 

External links
 CubeRoot CFOP algs
 Joël van Noort's tutorial (broken link, see archive.org)
 Erik Akkersdijk's tutorial (broken link, see archive.org)
 Shotaro Makisumi's tutorial
 Jessica's Homepage
 Badmephisto's Intuitive F2L Tutorial
 Speedsolving.com: Fridrich Method  info on its origin.
 All CFOP algorithms and more
 Tutorial in French by speedcubingtips.eu
 J Perm's Website
 Speedcubedb 3x3 algs