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Solving a 3x3 Rubik's Cube using the CFOP method, which stands for Cross, F2L (First Two Layers), OLL (Orientation of the Last Layer), and PLL (Permutation of the Last Layer), is a popular and advanced approach. Let's break down each part of the method and provide an overview of the algorithms.
1. Cross (CFOP - C):
The first step is to create a white cross on the first layer. Start by solving the white edge pieces around the white center. There are multiple algorithms for this step, which involve different sequences of moves. These algorithms aim to position the white edges correctly.
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
2. F2L (CFOP - F2L):
The F2L step involves solving the first two layers simultaneously. It's divided into 41 possible cases, and for each case, there's an algorithm that combines the pairing of a corner and an edge piece while maintaining the white cross. This requires a good understanding of cube theory. There are total 41 cases for F2L cases, so I have provided all 41 algorithms below for solving F2L cases.
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
| Corner on top, FL color facing side, edge colors match | ||||||
| Case # | Case Image | Algorithm | ||||
|---|---|---|---|---|---|---|
| 1 |  | U (R U' R') R' F R F' | y' U' (R' U R) F R' F' R |  | 2 | |
| 3 |  | U' R U R' U2 (R U' R') | d R' U' R U2' (R' U R) y' (U R' U' R) U2 (R' U R) |  | 4 | |
| 5 |  | U' R U2' R' U2 (R U' R') | d R' U2 R U2' (R' U R) R' F R F' |  | 6 | |
| 7 |  | y' R' U R U' d' (R U R') y L' U L U2 y (R U R') | R U' R' U d (R' U' R) R U' R' U2 y' (R' U' R) (R U' R') U2 (F' U' F) |  | 8 | |
| Corner on top, FL color facing side, edge colors opposite | ||||||
| 9 |  | y' (R' U' R) | (R U R') |  | 10 | |
| 11 |  | d R' U' R U'(R' U' R) U' R U' R' d R' U' R U' R U' R' U y' R' U' R | U' R U R' U (R U R') |  | 12 | |
| 13 |  | U' R U2' R' d (R' U' R) | R' U2 R2 U R2' U R *Last R' U R can be avoided if back slot is empty. R U' R' U R U' R' U2 (R U' R') d R' U2 R d' (R U R') |  | 14 | |
| 15 |  | d R' U R U' (R' U' R) | U' R U' R' U(R U R') |  | 16 | |
| Corner on top, FL color facing up | ||||||
| 17 |  | R U2' R' U' (R U R') | y' R' U2 R U (R' U' R) y (L' U2 L) U (L' U' L) |  | 18 | |
| 19 |  | U R U2 R' U (R U' R') U R U2 R2 F R F' | y' U' R' U2 R U' (R' U R) |  | 20 | |
| 21 |  | U2 R U R' U (R U' R') (R U' R') U2' (R U R') | y' U2 R' U' R U' (R' U R) y' R' U R U2 (R' U' R) |  | 22 | |
| 23 |  | y' U R' U2 R y R U2 R' U R U' R' U2 R2 U2 R' U' R U' R2 R U R' U2' R U R' U'(R U R') | U' R U2' R' y' R' U2 R U' R' U R R U R' d R' U R U' (R' U R) y' U2 R2 U2 R U R' U R2 |  | 24 | |
| Corner down, edge on top | ||||||
| 25 |  | U R U' R' d' (L' U L) U R U' R' U' y (L' U L) | y' U' R' U R r' U' R U M' d' L' U L d (R U' R') y U' (L' U L) y' U (R U' R') |  | 26 | |
| 27 |  | y' R' U' R U (R' U' R) | R U R' U' (R U R') |  | 28 | |
| 29 |  | R U' R' U (R U' R') | y' R' U R U' (R' U R) R U R' d (R' U2 R) |  | 30 | |
| Edge down, corner on top | ||||||
| 31 |  | U' R U' R' U2 (R U' R') d' L' U' R' U L U' R | d R' U R U2 (R' U R) U' (R U2' R') U (R U R') U R U R' U2 (R U R') |  | 32 | |
| 33 |  | U' R U R' d (R' U' R) | d R' U' R d' (R U R') y U2 (L' U L) U y (L U L') |  | 34 | |
| 35 |  | R U' R' d (R' U R) | [R U R' U'][R U R' U'](R U R') U [R U' R' U] [R U' R' U] (R U' R') |  | 36 | |
| Corner down, edge down | ||||||
| 37 |  | R U' R' U' R U R' U2 (R U' R') y' R' U' R U2 R' U R U' (R' U' R) | R U R' U2 R U' R' U(R U R') R U' R' U R U2' R' U (R U' R') |  | 38 | |
| 39 |  | R U' R' d R' U' R U' (R' U' R) | R U R' U' R U' R' U2 y' (R' U' R) R U' R' U d R' U' R U' (R' U R) |  | 40 | |
| 41 |  | R U' R' U y' R' U2 R U2' (R' U R) R U' R' d R' U2 R U2' (R' U R) [R' F R F'] [R U' R' U] [R U' R' U2] (R U' R') | ||||
3. OLL (CFOP) Orient Last Layer
OLL focuses on orienting the last layer pieces correctly. There are 57 different cases for this step, and each case has its own algorithm. These algorithms manipulate the orientation of the last layer pieces without disturbing the first two layers. There are total 57 cases for OLL cases, so I have provided all 57 algorithms below for solving OLL cases.
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
4. PLL (CFOP) Permutation of the Last Layer
Finally, PLL concentrates on permuting the last layer pieces. There are 21 PLL cases, each with its own algorithm. These algorithms rearrange the last layer pieces to complete the cube, ensuring all pieces are in their correct positions. There are total 21 cases for PLL cases, so I have provided all 21 algorithms below for solving OLL cases.
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
.jpg "How to solve 3×3 Rubik's Cube by advanced formula")
To solve the Rubik's Cube using CFOP, you'll need to learn a total of 78 algorithms (41 for F2L, 57 for OLL, and 21 for PLL). These algorithms can be challenging to memorize, but with practice and repetition, you can become proficient in solving the cube efficiently.
As you progress through CFOP, it's important to practice and develop your intuitive understanding of the cube's mechanics. Speedcubers often use dedicated notation to represent cube moves, which simplifies the algorithms and makes them easier to remember.
In summary, the CFOP method is a systematic approach to solving the 3x3 Rubik's Cube. It involves four main steps: Cross, F2L, OLL, and PLL. Each step has its set of algorithms that need to be memorized and practiced. While it may seem daunting at first, with dedication and practice, you can become skilled at solving the Rubik's Cube using CFOP.
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