The first two levels are restored together. There are many ideas and types of formulas here
The 41 standard formulas basically have no core ideas and need to be memorized by heart.
The bug's f2l formula is based on the idea of ??restoration. You will understand it after taking a look at it.
On average, a group of restorations can be restored in 6-8 steps, which is still very good.
I know you use your mobile phone, so I will bring you the bed bug stuff, but it’s a bit awkward without a picture.
I played the entire F2L by myself, so I have a relatively deep understanding of F2L, and my results on the first two levels are pretty average. There are many web pages about F2L on the Internet, but most of them do not explain it. This article attempts to give some simple explanations, hoping to be of some help to the newbies who are learning F2L, haha.
The main content and viewpoints of this article were written down when I was studying F2L seven years ago. However, the draft at that time was long ago thrown away, and it took a lot of effort to finally get it out again. F2L focuses on understanding. Many formulas can be used naturally once you understand them. This article divides all 41 F2L into three forms according to your own understanding, and classifies the formula reduction ideas in F2L in order to explain some of the rules of F2L. .
First of all, let me talk about my classification of formula reduction ideas in F2L. I divide this into two categories. The first type I call ordinary ideas. The core of the idea is to maintain the integrity of the first two layers to the highest degree throughout the entire formula process. That is, during the entire reduction process, there are no two or more Corners (including completed and unfinished) participate in the top layer at the same time. Only one of the four blocks of the bottom cross is always in a non-reduction state. The step structure is as follows: adjust the top layer---corners participate in the top layer- --A rotation of the top layer---New corners return to the bottom layer---Other corners join the top layer... The second type is what I call the direct restoration idea, which is an idea that does not care about whether the first two layers are complete during the restoration process, but directly restores it in the most recent way.
The formulas of ordinary ideas are usually very simple and direct. Once you understand them, you will basically never forget them. At the same time, they are extremely flexible and the techniques are simple. They occupy a major position in F2L, such as the Rubik's Cube tutorial. Among the 41 F2Ls, 29 belong to this kind of restoration idea. The disadvantages of the direct restoration idea are that it is more complicated, requires some memory, and generally lacks flexibility. There are also some application restrictions. Its advantage is reflected in its number of steps, which is higher than that of the ordinary idea. The formula has some advantages. In addition, the formula that directly restores the idea often flips the bottom surface to the top surface during rotation, so it actually has the effect of changing the field of view.
Having talked about the idea of ??formula reduction, here I will talk about my classification of 41 F2L graphics.
If you use the ordinary restoration idea to rotate, the two graphics A1 and A2 in the following table are the first changes in the "restoration state". They are formed by a process of "corners participating in the top layer---a rotation of the top layer---new corners returning to the bottom layer". They are the simplest change of the restored state, that is, the first change. Continuing this step, the secondary and tertiary changes of the reduction state will also be produced. All F2L graphics can be simply classified as the primary, secondary and tertiary changes of the reduction state. They respectively represent the three changes of F2L. Difficulty levels.
Secondary forms include the following B1, B2 graphics, etc. If these types of graphics are restored using ordinary ideas, it will require two processes of "converting to the primary form---converting to the restored form", which generally requires Steps 6-8. If you use the direct reduction method to restore, it usually takes steps 6-7. Tertiary forms such as C1, C2, etc. If these types of graphics are restored by ordinary methods, they require three processes of "converting to the secondary form---converting to the primary form---converting to the restored form", which usually takes 9 -12 steps, while the direct restoration method usually requires 8-9 steps.
This kind of classification is very suitable for beginners to proceed step by step. The three changes of the restored form are inherited and changed. It will be easier to understand and get started if you follow the learning.
It should also be noted that the formula that directly restores the idea will have application limitations under certain conditions. This restriction only exists if one or two of the missing corners or edges are in the underlying graphics (***9: B1-B5, C2-C5).
The conventional F2L formula in these figures places the missing corners and edge blocks in their original positions (what I call it refers to the relative position of the Rubik's Cube blocks when they are restored to their original state. Including when it is rotated at this position), the restoration effect is to restore the defective block directly to the defective corner. However, in actual situations, the majority of cases are that the missing blocks are not in their original positions. For these cases, if these formulas are still used to deal with them, erroneous restoration will occur.
This article colors the formulas to distinguish various types of formulas: green formulas represent formulas with common ideas. These formulas are simple and flexible, without any restrictions. Anyone who has time may wish to learn them all, which will help improve overall ability. It is very beneficial; the blue-gray formulas represent direct reduction ideas without application restrictions, and the blue ones are those that I think are relatively simple and easy to remember or have a particularly small number of steps; the black formulas represent direct reduction ideas with application restrictions. The formulas in red are ones that I think are relatively simple and easy to remember or have very few steps. It is not recommended to learn too many formulas. Except for the six figures B11 and C1-C5, there is actually no need to learn the formulas that directly restore the idea.
Previous note:
1. Most of the following figures have several formulas to solve. Except for the two basic formulas A1 and A2, as a beginner, each figure only has Just learn a formula. You can choose the simplest and easiest one or the one with the least number of revolutions, but it must not be a formula with restrictions on use. For each of the following figures, I will indicate the name of the figure in the Rubik's Cube F2L tutorial in brackets after the name of the figure. The number after the dash indicates that the formula under the figure is the formula recommended in the Rubik's Cube F2L tutorial. This list is for reference by learners. In addition, the first formula under each graph is the simplest and easiest formula in my opinion, and is for reference by lazy people.
2. This article is quite special in the statistics of revolutions and the writing of formulas. In addition, the generally mentioned 41 F2L formulas actually include symmetrical or repeated graphics, and there are actually only 22. This article will only select one of the repeated figures and list them, and the symmetrical formulas will not be repeated in this article. There is a list of symmetrical figures attached at the end of this article, you can take a look.
1. One-time change form (2 types)
A1 (I1-1)
A2 (T1-1)
< U'>F' U F (3-1)
F R' F' R (4-1) R U R' ( 3-1)
There are only two forms of change at a time, which are the most basic forms in F2L and play the most important role in F2L. The latter part of many F2L formulas actually apply these two formulas. Learning these two F2Ls first can help you learn other F2Ls later more easily. It is strongly recommended to learn all four solutions.
In the above figure, the parentheses before the formula indicate the adjustment steps, because it is undetermined where the top-level block will appear, and these steps may or may not be needed. The number listed after the formula represents the number of steps of the formula. There are two values ??in the column. The first number represents the number of steps of the pure formula, and the latter number is the number of adjustment steps that may be needed to clearly compare the true state of the steps. .
Second, secondary change forms (15 types)
1. The situation where the corners are on the bottom layer and the edges are on the top layer (3 types)
These three shapes It is relatively easy to learn in F2L except for the two basic figures A1 and A2. The first figure is actually the middle-level formula in the conventional layer-first method. If you are already proficient in A1 and A2, you only need to use a little spatial imagination. It is easy to imagine the solutions to these three graphics. The basic key point of cracking these three graphics is to use the corner block to form the edge block. According to the shape of the corner block, simulate the shape of A1 or A2, rotate the top edge block to a certain position, and then move the corner block to form the top edge block.
B1 (A1-1)
B2 (E2-2)
B3 (F2-2)
R U ' R' (A1 6-2)
R U R' (A2 6-2)
R U2 R' (A2 6-2)
p>R' U2 B' R B U2 R (7-1)
F U2 L F L' U2 F' (7-1)
B L2 D F D' L2 B ' (7-1)
L F2 U F U' F2 L' (7-1) F' U2 F (A1 6-2)
F' U' F (A1 6 -2)
R U' R' (A1 6-2)
R U2 B' R B R2 (6-1)
R U' R' (A2 6-2)
F' U' F (A2 6-2)
F2 L F L' U2 F (6-1)
There are names of some formulas before the step statistics in parentheses after some formulas. For example, there is (A1 6-2) after formula 1 in B1 above, which means the previous The steps do not complete the entire restoration, and the formulas indicated in parentheses need to be continued to finally complete the restoration. A1 means that after completing the previous steps, you need to continue to use the formula A1 (A1*** has three formulas to solve, you can choose arbitrarily) to finally complete the restoration of the entire defect angle.
The common thinking method is actually F2L’s silly claw restoration method, which is the cyclic process of “rotating the top layer---the missing corners enter the top layer---rotating the top layer---returning the new corners”. The purpose is to transform the third form into the secondary form, transform the secondary form into the primary form, and finally transform the primary form into the restored form. As long as you understand the principle, you can be deceived. As shown in the three figures listed above, you must first know that the position of the top layer can be adjusted. There are four positions to choose from. Then you must know that the corners that can be entered into the top layer are F-R, and the ways to enter are R and F' two kinds. At this time, you can keep adjusting the top layer, and rotate R and F' every time you adjust it. Imagine simulating the shape of the two basic graphics A1 and A2 in your mind, and then choose the top layer connected to U, U' or U2. Rotate, and finally retract the new corners. All F2L can be restored with this simple idea.
2. The corner is on the top layer and the edge is on the middle layer (3 types)
B4 (G1-2)
B5 (H1-3)
p>
B6 (B2-1)
R U R' (A2 6-2)
F' U F (A2 6-2)
p>
R U2 R' (A2 6-2)
R U2 B U2 B' R' (6-1)
L D ' L' U L D L' (7-1)
B D2 B' U2 B D2 B' ( 7-1)
F' U ' F (A2 6-2)
F' L F' L' F U' F (7-1) R U' R' (A1 6-2)
R U2 R' (A1 6-2)
R U2 R' (A2 6-2)
In the quadratic form of F2L, it is basically an ordinary formula. Tianxia, ??the key point of cracking B4 and B5 here is to use edge blocks to form corner blocks. According to the current state of the edge blocks, simulate the shape of A2 in your mind, move the top corner block to a certain position, and then place the edge block on top of the top corner block. . Most people start learning to solve the Rubik's Cube using the layer-by-layer method. They may feel a little uncomfortable if they are used to the idea of ??using corners to fit edges. Please try it more.
3. The corners and edges are on the top layer and separated from each other (5 types)
B7 (Q1-1)
B8 (R1-1)
B9 (S1-1)
F' U' F (A1 6-2)
R2 B U B' U' R2 (6- 1)
R U R ' (A2 6-2)
F' U' F (A2 6-2)
F2 U' L' U L F2 (6-1) R U' B U B' U2 R' (7-1) F2 L2 D' L' D L' F2 (7-1) F' U2 F (A1 6-2) F' U' L' U2 L U' F (7-1) B' R' U' R2 U R' B (7-1) L' B2 R2 B R2 B L (7-1) R2 U2 F R2 F' U2 R2 ( 7-1) These three figures can be transformed into two basic forms by first lifting the corner blocks and then adjusting the position of the top edge block. The restoration process is very clear. The solutions to these three figures They are all very similar, so it is recommended to study all three together at the same time. B10 (U1-1) B11 (V1-4) F' U2 F (A1 6-2) F' U' L F' L' F2 (6-1) R U' R' (A2 6-2) R B U2 B' R' (5-1) R B U' B' U' R' (6-1) In the F2L tutorial of the Rubik's Cube Bar, there are only seven shapes (excluding symmetry The recommended reduction method is the direct reduction method. The B11 graphic here is one of them (the other six are B12, C1-C5). The recommended reduction method of the Rubik's Cube Bar is the fourth formula here. In fact, this formula It is also a simple change of the ordinary restoration method. B10 and B14 and B15 below are three graphics that require more imagination in F2L. It is very nerve-wracking to use your imagination to come up with cracking methods. Just memorize them while simulating them. However, these graphics are especially suitable for B10. It feels particularly pleasing to the eye when you wake up, and it is also very easy to remember that if you lose something, you must gain something. 4. The corners and edges are on the top layer and stuck to each other (4 types) B12 (J1-2) B13 (L1-1) F' U2 F (A2 6-2) R U' B U2 B' U2 R' (7-1) R' U2 R2 U R2 U R (7-1) R U' R' (A2 6-2) R2 D R' U R D' R2 (7-1) F' U' F2 R' F' R2 U R' (8-1) R B L' B L B2 U2 R' (8-1) F R B' R' F' R2 B R2 (8-1) F' R B' R' F R2 B R2 (8 -1) R B' U' R' U R2 B R2 (8-1) F' U L' U L2 F' L' F2 (8-1) p> These two figures are relatively clear to decipher with the common ideas, which is to lift the corner blocks and then move the edge blocks, which can be easily mastered. The Rubik's Cube Bar recommends the second solution for B12 which is a direct reduction method, but it does not have the advantage in number of steps compared to the ordinary method. I prefer flexible formulas, so I almost always use Formula 1. B14 (K1-1) B15 (N1-1) R U' R' (A2 6-2) F' L' B' U B L F (7-1) R U' B U' B' U2 R' (7-1) F' U2 L' U' L U' F (7-1) R2 B' D B' D' B2 R2 (7-1) F' U2 F (A2 6-2) Same as B10, simulate while Remember it. To describe it in simple words, the common solution to the three figures B10, B14, and B15 is to lift the edge blocks and use "push (pull) + rotation of the top layer" to cause the corner blocks to have the dual effect of "revolution and rotation" , which finally becomes the form of A1 and A2. Three or three changing forms (5 types) 1. The top layer has corners and edges (2 types) C1 (M1-3) C2 (B1-2) R U2 R' (B8 9-3) R U R B' R' B U2 R' (8-1) R2 U R2 U R2 U2 R2 (7-1) 2. The corners and edge blocks are both on the first two layers (3 types) C3 (A0-2) C4 ( C2-3) C5 (D2-3) R U' R' (B9 9-3) R2 U2 F R2 F' U2 R' U R' (9-0) R U' R U2 F R2 F' U2 R2 (9-0) R U' R' (B7 9-3) R2 U B U' B ' R2 (A2 9-1) R2 U2 R' U' R U' R' U2 R' (9-0) F' U2 F' U' F U' F ' U2 F2 (9-0) F2 U2 F R2 B' R' B R' F (9-0) F2 L' B L' B' L2 F U2 F ( 9-0) F2 U2 R' F R U2 F U2 F (9-0) R U2 R B2 L' B' L B' R2 (9-0) p> R U2 R U2 F R F' U2 R2 (9-0) R F' L F' L' F2 R U2 R2 (9-0) F' U F (B11 9-3)< /p> F' L' U2 L F (A2 8-1) R U' R U B U' B' R2 (8-0) F2 L' U' L U F U ' F (8-0) F2 L F L2 U L U2 F (8-0) R U2 B U B2 R B R2 (8-0) There are one to five three-dimensional change forms, which are the most complex in F2L and have the highest average number of steps. The formula that directly restores the idea is originally more suitable for large-scale OLL situations, but its power can also be shown here. , the number of steps is much more advantageous than the formulas based on ordinary ideas. The Rubik's Cube Bar recommends formulas that directly restore the ideas for these five figures. C1 is the only one among the five three-dimensional changes that has no restrictions on the use of formulas. The formula that directly restores the idea is of course the best. C4 and C5 each have a formula that combines the advantages of direct reduction ideas and ordinary ideas. The number of steps is short and there are no application restrictions, so you can also learn it. C2 and C3 do not have such flexible and short-step formulas. In addition to learning a direct reduction formula each, you should also be familiar with formulas based on common ideas to deal with situations with application restrictions. There are many ways to solve the three-dimensional forms with ordinary thinking. If you turn around with your eyes closed, there is a 100% (for C2, C3, C4) and 60% (for C1, C5) possibility of solving them. It is transformed into a quadratic form of graphics, so there is no need to specialize in formulas to solve it with ordinary ideas. Here I only list one formula of ordinary ideas for reference. Later Notes: 1. This article is entirely my personal opinion. If you find any mistakes or anything worthy of improvement, please feel free to tell me. Corrections are welcome. If you write well, please praise it. If you write poorly, please don’t kick it, haha. 2. The previous article mentioned "symmetrical formulas", such as C3 formula 1: R U' R'. Here, F'U F is the symmetrical form of the previous formulas, and their influence on this corner It's the same. If you cannot handle symmetrical graphics and symmetrical formulas after learning a formula, it means that you do not really understand and master the formula. 3. Use your brain more and compare more. F2L actually has many similar formulas that can be learned at the same time. For example, B2 and B3 can be learned at the same time, B4 and B5; B7, B8, B9; B12 and B13. Several groups can also be learned at the same time, so it is easy to get started, it is just a matter of practice. 4. This article *** has collected 35 ordinary formulas (excluding those with three changes), 62 direct reduction formulas, and *** 97 formulas. The formulas with the shortest number of steps should all be considered. Come on. In addition, the conventional F2L only lists the situation of the defective block in the original position for the figures B1-B5 and C2-C5, but does not list the best treatment plan when it is not in the original position, nor does it list the defective edges. The best way to deal with the two corners is when the two blocks are located on two corners. In fact, many of these are best handled by flexible use of formulas. The flexibility of ordinary formulas is most suitable for handling these situations. Attachment: List of symmetrical figures A1 A2 B1 B2 B3 B4 B5 B6 (no symmetry) B7 B8 B9 B10 B11 B12 B13 B14
C1
C2 (no symmetrical form)
C3 (no symmetrical form)
C4
< p>C5