KBCM step 5

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Kenneth's Big Cubes Method
KBCM Step 1	KBCM Step 2	KBCM Step 3	KBCM Step 4	KBCM Step 5
Create 2 columns	Complete F2B	CMLL	Complete F2L	ELL

ELL algorithms:

ELL 1:

case number: (nr of moves) (cube orientations) alg

The numbering in the case descrition tells which two edges that are being solved, nr 1 and 2. These edges initially are palced at positions 1-8. Even edges (really only nr 2) are oriented at even places and the other way around at odd places. Same thing goes for the odd edge (nr 1).

The cases:

1-1 + 2-2 : (0) Solved
1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U
1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r'
1-1 + 5-2 : (8) (y x') r U L' U' r' U L U'
1-1 + 6-2 : (8) (y x') U L' U' r U L U' r'
1-1 + 7-2 : (8) (y2 x') l' U L' U' l U L U'
1-1 + 8-2 : (9) (x') U2 l2 U L U' l2 U L' U

2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2
2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2
2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M'
2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2
2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M'
2-1 + 7-2 : (10) r U2 l D2 l' U2 l D2 l' r'
2-1 + 8-2 : (10) r' l' D2 r U2 r' D2 r U2 l 

3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M'
3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l
3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r
3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l
3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U
3-1 + 7-2 : (10) (x') l' U' R U l r U' R' U r'
3-1 + 8-2 : (9) (y) Ra' u2 R U' R' u2 R U L

4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2
4-1 + 2-2 : (8) (y x') l' U L' U' l U L U'
4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2
4-1 + 5-2 : (8) (y x') M' U L' U' M U L U'
4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r'
4-1 + 7-2 : (10) (y2 x') l' U' R U l r U' R' U r'
4-1 + 8-2 : (11) (x') U2 l2 U' L' U M2 U' L U r2 U2

5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M'
5-1 + 2-2 : (8) (x') l' U L' U' l U L U'
5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l
5-1 + 4-2 : (8) (y x') M' U L' U' M U L U'
5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2
5-1 + 7-2 : (10) (x') l' U L' U' l r U L U' r'
5-1 + 8-2 : (14) (y' x') L' U' r U' R U r' l' U' R' U l U L

6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2
6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U
6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U
6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r'
6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2
6-1 + 7-2 : (10) (y2 x') l' U L' U' l r U L U' r'
6-1 + 8-2 : (11) (x) U2 l2 U' R' U M2 U' R U r2 U2

7-1 + 1-2 : (10) r l D2 l' U2 l D2 l' U2 r'
7-1 + 2-2 : (9) (x') U2 r2 U' R' U r2 U' R U'
7-1 + 3-2 : (11) (x) U2 r2 U' R' U M2 U' R U l2 U2
7-1 + 4-2 : (14) (y' x') L' U' l' U' R U l r U' R' U r' U L
7-1 + 5-2 : (11) (x) U2 r2 U L U' M2 U L' U' l2 U2
7-1 + 6-2 : (14) (y x') R U l' U L' U' l r U L U' r' U' R'
7-1 + 8-2 : (6) r2 U2 r2 Uu2 r2 u2

8-1 + 1-2 : (10) l' U2 r' D2 r U2 r' D2 r l
8-1 + 2-2 : (8) (y2 x') r U' R U r' U' R' U
8-1 + 3-2 : (10) (y2 x') r U L' U' r' l' U L U' l
8-1 + 4-2 : (10) (x') r U L' U' r' l' U L U' l
8-1 + 5-2 : (10) (y2 x') r U' R U r' l' U' R' U l
8-1 + 6-2 : (10) (x') r U' R U r' l' U' R' U l
8-1 + 7-2 : (8) (y2 x') M' U' R U M U' R' U

ELL 2:

Cases here are the same as for ELL 1 but after a y2 cube orientation minus all cases that has got an 7 or an 8 in the number.

1-1 + 2-2 : (0) Solved
1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U
1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r'
1-1 + 5-2 : (8) (y x') r U L' U' r' U L U'
1-1 + 6-2 : (8) (y x') U L' U' r U L U' r'

2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2
2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2
2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M'
2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2
2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M' 

3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M'
3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l
3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r
3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l
3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U

4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2
4-1 + 2-2 : (8) (y x') l' U L' U' l U L U'
4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2
4-1 + 5-2 : (8) (y x') M' U L' U' M U L U'
4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r'

5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M'
5-1 + 2-2 : (8) (x') l' U L' U' l U L U'
5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l
5-1 + 4-2 : (8) (y x') M' U L' U' M U L U'
5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2

6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2
6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U
6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U
6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r'
6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2

ELL 3:

Images shows the stickers of the U-layer (assumes white on top and green on front), grey pieces are solved. There are arrows in the images so you can follow the directions the pieces moves but there is no real need for them because all cases are easy to recognise just from looking at the patterns of the stickers, all are uniqe and easy to learn.

Group 1; Solve as a 3x3x3.
Solved Stop the timer! PLL-parity r2 U2 r2 Uw2 r2 u2 OLL-parity F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'	Orientation only M' U M' U M' U2 M U M U M U2 Orientation + PLL-parity x' U 3R' U x' (PLL-parity) x U' 3R U' x O+P (both paritys) r U2 r' E2 F2 l' F2 l F2 r F2 r' D2 l'
Group 2; 3-cycle commutators.
Ubl solved r l D2 l' U2 l D2 l' U2 r' Ubl inverse r U2 l D2 l' U2 l D2 l' r'	Ubr solved l' r' D2 r U2 r' D2 r U2 l Ubr inverse l' U2 r' D2 r U2 r' D2 r l
Group 3; Odd paritys.
Orient mixed r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' Orient mixed mirror l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l Swap opposites r2 D2 r' D2 l D2 l' D2 B2 l' B2 r'	Swap R diagonals l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r Swap L diagonals r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l' Swap opposites + deges F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l'

Faster turns

To get faster turning it is possible to use double layers at some points of the algs. Take for example the case Ubl solved from ELL 3, it can be done like this:

• r l D2 l' U2 l D2 l' U2 r' ... original
• (Rw l) D2 l' U2 l D2 l' U2 Rw' ... tweaked

It is also pretty obvious that you can do the first two turns at once and directly trig in the D2 turn if you are a little skilled. doing the alg like that it is almost twice as fast as it is if do all as separate turns. Examine the algorithms to find the double layer possibilitys.