rice
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- Joined
- Mar 8, 2012
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- 29
Out-of-date OP below. See this post for the complete revamp and tutorial.
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CFL stands for
Step 1: Corners
Step 2: First Six Edges
Step 3: Last Six Edges
We are already familiar with Corners, just use your favorite 2x2 method. LSE should be familiar to most of us also, refer to any rouxtorial for a refresher if you need it.
FSE is divided into 3 sub-steps: solving 2 adjacent E layer edges, solving the other E layer edges, then DL/DR or DF/DB while solving for the L/R or F/B centers. To solve for these edges, we will pair them up and then insert them into the correct position. While FSE is meant to be executed intuitively, some algorithms are provided below for illustrative purposes.
For the entirety of FSE, the following applies. U and D turns, as well as any slice moves, can be freely performed without affecting the corners. This may lead to some confusion at first as the U and D layers won't necessarily be aligned with each other and the centers will be all over the place. All other turns X that precede an algorithm must conclude with X'. Since there is no EO in FSE, some pairs will have skips or shorter solutions than others.
Step 2a
There are four possibilities for the first pair: FL/FR, RF/RB, BR/BL, and LB/LF.
Both edges will be in the U or D layer 42.42% of the time, so our job will be easy here. All we need to do is execute U/D/slice moves to pair up the edges. Let's say we opted to pair up the FL and FR edges and the pair is on the U layer. AUF to put the pair in the UF/UB position, then execute M' F M2 F' or M' F' M2 F.
24.24% of the time, one edge will be in the U or D layer and the other edge will be the E layer. To solve for the pair, move the first edge into a position that would allow you to R' E' R or L E L'. Hopefully, our pair will be in the correct position, as indicated by corner alignment. If not, move the pair to the FL/FR position, then F M2 F2 M2 F or F' M2 F2 M2 F'.
If both edges are in the E layer unoriented, it would be best to choose another pair. There is a 6.06% chance of this occurring.
Step 2b
Assuming our first pair is in the FL/FR position, perform an E2 or y2 to store it in the back. Now, E moves are forbidden and R/L moves only should be used in conjugates, such as R U' M2 U R', L F' M2 F L', and their many varients.
Both edges will be in the U or D layer 62.22% of the time, so Step 2a can be repeated.
17.77% of the time, one edge will be in the U or D layer and the other edge will be the E layer. Use a conjugate, then execute M F M2 F' or M F' M2 F to store our second pair in the front.
If both edges are in the E layer unoriented, that really sucks. There is a 2.22% chance of this occurring.
Step 2c
We are now confined to U/D/M/S moves. There are two possibilities for the last pair: DF/DB and DL/DR.
Pair up two edges of whatever the D color is and move it to the U layer. Align the D-layer corners with the E-layer edges. Suppose that we paired up edges that belong in the DF/DB position. The center of the F layer must be the opposite color of the corner/edge pairs in the F layer. If not, move the center into position without breaking up the third edge pair.
To insert our third pair, AUF the FU sticker to match with the center and then perform M2. An E slice can be done if the center is already positioned and the pair is in the BU/BD position to preserve the center. Do a y/y' turn to move on to LSE.
Optimization
With Steps 1 and 3, our work is already cut out for us. Step 2 can be improved by positioning pairs without needing to align corners, reducing cube rotations, pairing edges from different angles, and finding shortcuts. The example FSE solve shown below is not particularly optimized, but we can assume the average move count of CFL to be around 45 to 55 STM.
tl;dr FSE example solve
Another solution for the example scramble
Video example of edge pairing: http://www.speedsolving.com/forum/s...he-rice-method&p=727926&viewfull=1#post727926
List of insightful solves
1. Cool Frog - 43 moves
2. Kirjava - 35 moves
3. Ranzha V. Emodrach - 37 moves
4. Cool Frog - 33 moves
5. Ranzha V. Emodrach - 32 moves
6. y235 - 38 moves
7.
8.
9.
10.
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CFL stands for
Step 1: Corners
Step 2: First Six Edges
Step 3: Last Six Edges
We are already familiar with Corners, just use your favorite 2x2 method. LSE should be familiar to most of us also, refer to any rouxtorial for a refresher if you need it.
FSE is divided into 3 sub-steps: solving 2 adjacent E layer edges, solving the other E layer edges, then DL/DR or DF/DB while solving for the L/R or F/B centers. To solve for these edges, we will pair them up and then insert them into the correct position. While FSE is meant to be executed intuitively, some algorithms are provided below for illustrative purposes.
For the entirety of FSE, the following applies. U and D turns, as well as any slice moves, can be freely performed without affecting the corners. This may lead to some confusion at first as the U and D layers won't necessarily be aligned with each other and the centers will be all over the place. All other turns X that precede an algorithm must conclude with X'. Since there is no EO in FSE, some pairs will have skips or shorter solutions than others.
Step 2a
There are four possibilities for the first pair: FL/FR, RF/RB, BR/BL, and LB/LF.
Both edges will be in the U or D layer 42.42% of the time, so our job will be easy here. All we need to do is execute U/D/slice moves to pair up the edges. Let's say we opted to pair up the FL and FR edges and the pair is on the U layer. AUF to put the pair in the UF/UB position, then execute M' F M2 F' or M' F' M2 F.
24.24% of the time, one edge will be in the U or D layer and the other edge will be the E layer. To solve for the pair, move the first edge into a position that would allow you to R' E' R or L E L'. Hopefully, our pair will be in the correct position, as indicated by corner alignment. If not, move the pair to the FL/FR position, then F M2 F2 M2 F or F' M2 F2 M2 F'.
If both edges are in the E layer unoriented, it would be best to choose another pair. There is a 6.06% chance of this occurring.
Step 2b
Assuming our first pair is in the FL/FR position, perform an E2 or y2 to store it in the back. Now, E moves are forbidden and R/L moves only should be used in conjugates, such as R U' M2 U R', L F' M2 F L', and their many varients.
Both edges will be in the U or D layer 62.22% of the time, so Step 2a can be repeated.
17.77% of the time, one edge will be in the U or D layer and the other edge will be the E layer. Use a conjugate, then execute M F M2 F' or M F' M2 F to store our second pair in the front.
If both edges are in the E layer unoriented, that really sucks. There is a 2.22% chance of this occurring.
Step 2c
We are now confined to U/D/M/S moves. There are two possibilities for the last pair: DF/DB and DL/DR.
Pair up two edges of whatever the D color is and move it to the U layer. Align the D-layer corners with the E-layer edges. Suppose that we paired up edges that belong in the DF/DB position. The center of the F layer must be the opposite color of the corner/edge pairs in the F layer. If not, move the center into position without breaking up the third edge pair.
To insert our third pair, AUF the FU sticker to match with the center and then perform M2. An E slice can be done if the center is already positioned and the pair is in the BU/BD position to preserve the center. Do a y/y' turn to move on to LSE.
Optimization
With Steps 1 and 3, our work is already cut out for us. Step 2 can be improved by positioning pairs without needing to align corners, reducing cube rotations, pairing edges from different angles, and finding shortcuts. The example FSE solve shown below is not particularly optimized, but we can assume the average move count of CFL to be around 45 to 55 STM.
tl;dr FSE example solve
Another solution for the example scramble
Video example of edge pairing: http://www.speedsolving.com/forum/s...he-rice-method&p=727926&viewfull=1#post727926
List of insightful solves
1. Cool Frog - 43 moves
2. Kirjava - 35 moves
3. Ranzha V. Emodrach - 37 moves
4. Cool Frog - 33 moves
5. Ranzha V. Emodrach - 32 moves
6. y235 - 38 moves
7.
8.
9.
10.
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