Here I have documented the method that I use to solve the 3x3x3 Rubik's Cube.

This method could be described as a "belt method". Many of the ideas and algorithms come from another method called LCBM.

I came upon this method while trying to optimize HTA for speed solving.

I hope that these documents will be useful to others interested in this method.

Overview of method:

1. Edge orientation - place edges in the group <F2, B2, L, R, U, D> (or equivilant)

2. Belt - solve 4 edges of the equator (E slice)

3. Parity - create a situation in which corners can be solved with OCLL cases

4. EPOCBL - orient all corners while preserving equator and edge orientation

5. Seperation - permute corners to their correct layers

6. EPPCBL - permute all corners while preserving equator and edge orientation

7. L8E - solve the remaining eight edges

I am no teacher, so I will simply provide links that can explain each step better than myself.

Step 1: Edge Orientation:

This is the same as EOLine without the line.

http://cube.crider.co.uk/zz.php?p=eoline

http://www.youtube.com/watch?v=a6tkUlkjnOE

Step 2: Belt:

Intuitive. Remember not to use single turns on F and B.

Step 3: Parity:

If you do not have OCLL cases on U/D:

Step 4: EPOCBL:Originally Posted byqqwref

Memorize the algorithms for each case.

Step 5: Seperation:

Intuitive. Use only moves of the group <F2, B2, L2, R2, U, D>. I recommend only using <L2, R2, U, D>.

Do not forget that you must restore the equator after breaking it.

For example instead of bringing 2 U face corners from positions DLF and DLB to the top face with L2 you must do

something that will not destroy the belt such as:

U2 L2 U2 L2 U2

Step 6: EPPCBL:

Memorize the algorithms for each case.

Step 7: L8E:

I solve these using the exact same system used in Roux for LSE minus the edge orientation

http://grrroux.free.fr/method/Step_4.html (4b and 4c)

http://wafflelikescubes.webs.com/rouxmethod.htm (4b and 4c)

http://rouxtorial.webs.com/lse.htm (4b and 4c)

Example solves:

F2 R2 D2 R2 F2 D R2 U B2 L2 F U' R2 B' R' B F2 L2 U L'

EO: R' D R U2 B

Belt: U2 D' R' D' L

Parity: none

EPOCBL: U2 D2 L' U' L' U2 L U' L

Seperation: D' L2 U D L2

EPPCBL: D x2 R U R' F' R U R' U' R' F R2 U' R' x2

L8E: U2 M U2 M' D' M2 D M2 U M U2 M U M2 U x U2 M2 U2 M2

B' U2 B' L' R D2 F L R2 D2 U2 B' U' B' U' R2 F2 R D B U2 R U2 F2 L'

EO: D F' R2 D F2 D F'

Belt: U' D2 R' B2 L2

Parity: none

EPOCBL: D' L' U' L2 U' L' U2 D' L2 U' L'

Seperation: L2 U' L2

EPPCBL: D x2 F' L U L F D2 F' L' U' L' F U D x2

L8E: M2 U M U2 M' D M2 D' M2 U' M U2 M U' M2 U' M' U2 M'

U F2 D F2 U2 F2 L2 U' F2 U' R U' L2 D R U2 B' R2 B' R2 F'

EO: F D' B' D B

Belt: F2 R' U R L' D' L

Parity: L2 U' L2

EPOCBL: f R U R' U' f' F R U R' U' F'

Seperation: U2 L2 D' U2 L2

EPPCBL: U F' L U L F D2 F' L' U' L' F U D2

L8E: M' U2 M D M2 D' U M2 U2 M2 U' M U2 M' U2 M2

Algs:

Spoiler:

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