[2×2] BV method

BV

This is my first 2×2 method I ever invented and it’s flexible in the way that it can be used in the Ortega way as well as the CLL way.

Get it here.
The make a summary about it: it’s a method where you can 1-look the OBL (Orientation of Both layers) when using one of the 81 cases (including mirrors) as well as having one of them solved and having 1 chances out of 3 to have the cube completely solved with a layer built or simply 1/9 to get a PBL skip when using that method which is really nice.

Berkmann’s Method

CLL

I came up with this method few days ago having the idea to combine Roux with M2 and Corner First and I’ve also though of having three variations that are obviously: beginner’s, intermediate and advanced;

If you already know Roux, M2 and eventually CF (Corner First), you’ll get the hang of this method quite quickly.

n.b: if you don’t know how to solve a Rubik’s cube, I suggest you check it out on my upcoming LbL tutorial or my videos on YouTube.

Beginner’s variation

the steps are the following ones:

First Block
Left Block

LCFL
LCFL

DR bar
RD edge

COLL
COLL

CLL
CPLL

Last 2 Edges of FB
Last Edges of F2B

Left and Right Layers
Side Layers

EOML
OEML

PEML
PEML+L4Centres

1. First Block

This step is quite intuitive, you can either build the block by solving the LD edge than the pairs (any LbL methods) or build as you would do with Roux or ZZ.

tips for building the block faster and more efficiently:

1. Consider using either cross edge + F2L pairs as well as 1x1x2 blocks + edge + F2L pair

2. when pairing and F2L pair, do not use rotations but <F, B, M, U> move group or <F, M, U> move group (when the 1x2x2 block is built on the back: orange-white-green block;) to pair and insert the pair.

3. when the D sticker of the corner of the block that need to be paired with the corresponding edge (to form the block/pair) is facing the side, place it in a way that it face either toward L or R and having the edge on the M layer for easier pairing (unless the F2L case can be done without any rotations and any long and complex algs).

2. Last 2 Corners of the First Layer

This step can be done using 2×2 FL building technics and obviously basic LbL algos.

3. RD edge

This step is fairly simple, you just have to solve the RD edge to complete the bar.

Here some case (the rest can be easily brought to one of those or be mirrored .

"DF "FD "UR "RU "DR "FR "RF "UL "LU

4. Corner Orientation of Last Layer

H
H: F (R U R’ U’)3 F’

Pi
Pi: F (R U R’ U’)2 F’

T
T: U’ r U R’ U’ r F R F’

Back Headlights/U
U: U’ F (R U R’ U’) F’

L
L: F’ r U R’ U’ r F R

Sune
Sune: R U R’ U R U2 R’

Anti-Sune
Anti-Sune: R U2 R’ U’ R U’ R’

5. Corner Permutation of Last Layer

Diag
Diagnal: F (R U’ R’ U’) (R U R’) F’ (R U R’ U’) (R’ F R F’)

Adj r
Adjacent right: (R U R’ U’)  R’ F (R2 U’ R’) (U’ R U R’) F’

Adj b
Adjacent back: (R’ U L’)(U2 R U’ R’ U2)(R L U’)

Adj l
Adjacent left: (L’ U’ L U) L F’ (L2 U L) (U L’ U’ L) F

Adj f
Adjacent front: (R’ U2 R’ d’) (R’ F’ R2 U’) (R’ U R’ F) (R F)

6. Last Edges of the First Blocks

Here is the cases for the FR edge, to solve the RB edge just mirror the casse on S (S slice) or do y2 and mirror them on M

LEFB DF
R U’ M2 U R’

LEFB FD
R U M’ U’ R

LEFB UL
U’ M R U M’ U’ R’ U

LEFB LU
R U’ M’ U R’

LEFB UB
r U’ M U R’

LEFB BU
U’ R U’ M’ U R’ U

LEFB RF
R U M U2 M2 U R’

7. Side Layers

This step let’s you choose between: solving the 2 remaining edges at the same time, orienting both than permuting them, solving one than the other.

M2 UR
R U R’ U’ M2 U R U’ R’

M2 RU
B’ R B M2 B’ R’ B

M2 UL
L’ U’ L U M2 U’ L’ U L

M2 LU
B L’ B’ M2 B L B’

Placed
(M’ U)3 M2 U (M’ U)2 M’ U2

One placed
R U R’ U’ r’ U2 R U R U’ R2 U2 r

Up Oppositz
U M2 U2 M2 U

Up Adj
M2 U’ M’ U2 M’ U’

Up & Down
U2 M’ U2 M’ U’ M2 U

2 Down
U M2 U’

8.  Orientation of the Edges of the Middle Layer

eo-vertical
(M’ U)3 M’ U2 (M’ U)3 M’

eo-4-on-m
U R U R2 F’ L2 D R’ L’ D’ L2 B R2 U’ L U’

eo-cross
B’ R B U R2 U’ M2 U R2 U’ B’ R’ B M2

n.b: you can finish this step by just using the first case 1-2 times.

9. Permutation of the Edges of the Middle Layer+Last 4 Centres

U2 M U2 M'
U2 M U2 M’

M' U2 M U2
M’ U2 M U2

(U2 M2)2
(U2 M2)2

M' E2 M E2
M’ E2 M E2

Intermediate variation

First Block
Left Block

DR bar
RD bar

CLL
CLL

Last 2 Edges of FB
LEF2B

Left and Right Layers
Side Layers

EOML
OEML

PEML
PEML+L4Ce

1. Left Block

Exactely the same as with the Beginner’s variation.

2. RD bar

3. Corner of Last Layer

COLL and CPLL in one step:

COLL\CPLL

Diag
Diagnal

Adj r
Adjacent right

COLL
No permutation needed

Adj b
Adjacent back

Adj f
Adjacent front

Adj l
Adjacent left

H
H
F (R U R’ U’)3 F’ y’ F R U’ R’ U R U2 R’ U’ R U R’ U’ F’ R U2 R’ U’ R U R’ U’ R U’ R’ y R U R’ U R
U L’ U R’ U’ L
y’ R U R’ U R
U L’ U R’ U’ L
y F R U’ R’ U R U2 R’ U’ R U R’ U’ F’

Pi
Pi/Dead guy
R U D’ R U R’ D R2 U’ R’ U’ R2 U2 R y F U R U’ R’ U R U2 R’ U’ R U R’ F’ F (R U R’ U’)2 F’ or R U2 (R2 U’)2 R2 U2 R R’ F2 R U2 R U2 R’ F2 U’ R U’ R’ y’ R U R’ U F2 R U2 R’ U2 R’ F2 R y2 L’ U R U’ L U’ R’ U’ R U’ R’

T
Back Hammerhead/T
R’ U R2 D r’ U2 r D’ R2 U’ R y l’ U’ L U R U’ r’ F R’ U R U2 L’ R’ U R U’ L y’ R’ U’ R F R2 D’ R U R’ D R2 U’ F’ y R U2 R’ F2 R U2 R’ U2 R’ F2 R y’ r U R’ U’ r’ F R F’

Back Headlights/U
Back Headlights/U
U’ F R U R’ U’ F’ U L2 D L’ U2 L D’ L’ U2 L’ y’ R U R’ U’ R U’ R’ U2 R U’ R’ U2 R U R’ y’ R’ U’ R F R2 D’ R U R’ D R2 U’ F’ y2 R’ F2 R U2 R U2 R’ F2 R U2 R’ R2 D’ R U2 R’ D R U2 R

L
Sidewinder/Bowtie/L
y’ L’ U2 R U’ R’ U2 L R U’ R’ y’ R U2 R D R’ U2 R D’ R2 y’ R U2 R’ U’ R U R’ U’ R U R’ U’ R U’ R’ y2 R’ U2 R’ D’ R U2 R’ D R2 y’ F R’ F’ r U R U’ r’ F’ L F l’ U’ L’ U l

Sune
Sune
 y2 R U R’ U L’ U R U’ L U2 R’ y2 R2 D’ R U2 R’ D R2 U R’ U R R U R’ U R U2 R’ y2 R’ U2 R U2 L U’ R’ U M x y’ F R’ U2 R F’ R’ F U2 F’ R R U’ L’ U R’ U’ L

Anti-Sune
Anti-Sune
y R’ U’ R U’ L U’ R’ U L’ U2 R y2 F’ L U2 L’ F L F’ U2 F L’ R U2 R’ U’ R U’ R’ y L’ U R U’ L U R’ y R2 D R’ U2 R D’ R2 U’ R U’ R’ y R U2 R’ U2 L’ U R U’ M’ x’

COLL
Oriented
F R U’ R’ U’ R U R’ F’ R U R’ U’ R’ F R F’ R U R’ U’ R’ F R2 U’ R’ U’ R U R’ F’ skip R’ U L’ U2 R U’ R’ U2 R L U’ R’ U2 R’ d’ R’ F’ R2 U’ R’ U R’ F R U’ F L U2 L’ U’ L U2 R’ U L’ U’ R

4. LEF2B

It’s basically the same thing as for the previous variation but you will need to insert both edges in one motion, what I mean by that is that you should prepare both edges in way that you can insert them just with one M move after getting their place on the M slice (both or one after the other) than after just undoing the placement setup like if you would do a commutator on FR and RB with the M slice free.

5. Side Layers

You just have to do the commutators the same way as above except that you would have to align both places on M.

6. OEML

This time you’ll need to know the three cases

7. PEML+L4Ce

Yeah !! Nothing to learn for this step !!

Advanced variation (in development)

First Block
Left Block

DR bar
RD bar

CLL
CLL

Left and Right Layers
L4SE

EML
EML

1. Left Block

still the same except that you should think in an FMC way such as you built it in the least move possible.

2. RD bar

n.b: if you solve one corner and the RD edge, make sure that when you insert the last corner to form the bar while orienting the CLL (or at least influence it to get the COLL set you want) by using either WV or SV.

3. CLL

Same as the previous variation.

4. Last 4 Side Edges

There isn’t any algs for this step (yet). But by using 3-cycles and insertions influencing (basically trying to make the insertion of one/two of those edges easier)

5. Edge of Middle Layer+L4Ce

EOML and EPML in one step including the L4Ce.

Orient2upCWcycle
F2 U F B’ R’ F2 R F’ B U’

Orient2upCCWcycle
U2 F2 U F B’ R’ F2 R F’ B U

Orient2upH
U R U R2 F’ L2 D2 R2 B’ L2 U R’ U’

Orient2upCe
R2 F R’ L U B2 L2 F2 D R’ L F L2 U2

Orient4CWcycle
R’ D’ R B’ U’ D2 F D’ F’ R U D2 B D

Orient4CCWcycle
R D’ B’ U’ D2 R’ F D F’ U D2 B R’ D

Orient4H
F U2 R L’ F2 U’ R2 L2 D F2 R L’ D2 F’

Orient4Ce
U R L F’ U2 R2 U2 L2 D2 L2 F R’ L’ U’ R2 L2

Orient2DiagCWcycle
F U D’ L’ U2 L U’ D F’ U2

Orient2DiagCCWcycle
U F B’ R’ F2 R F’ B U’ F2

Orient2DiagH
U R’ F D’ F B’ L F’ L F’ B D’ R U

Orient2DiagCe
U R U’ B2 L2 D2 R2 F’ L2 U2 D’ R’ D B L2

Orient2BackCWcycle
U2 B2 U L’ R B’ L2 R2 U2 F’ L’ R U’
Orient2bkCCWcycle

D2 F’ R’ L D’ R2 L2 F2 U’ R’ L F

Orient2BackH
U R B’ D F B’ L’ B L’ F’ B D R’ U’
Orient2bkCe

U R’ L F R2 U2 L2 B R’ L U R2 B2 L2

Orient2dgbkCWcycle

F R L’ U’ F2 R2 L2 D’ R L’ F D2

Orient2dgbkCCWcycle

U R’ L F’ U2 R2 L2 B’ R’ L U B2

Orient2dgbkH

U R’ D F B’ L’ F L’ F’ B D F’ R U’

Orient2dgbkCe

U R’ L F’ R2 U2 L2 B’ R’ L U’ R2 B2 L2 D2

Orient2ftCWcycle

U F’ B L F2 L’ F B’ U F2 U2

Orient2ftCCWcycle

U2 F U D’ L’ U2 L U’ D F’

Orient2ftH

U R D’ F B’ L B’ L F’ B D’ B R’ U’

Orient2ftCe

U R L’ F U2 R2 D2 B R L’ U L2 F2 R2

Orient2dnCWcycle

B2 U R L’ B’ R2 L2 U2 F’ R L’ U

Orient2dnCCWcycle

U2 B2 U R L’ B’ R2 L2 U2 F’ R L’ U’

Orient2dnH

U F D F2 R’ B2 U2 F2 L’ B2 D F’ U’

Orient2dnCe

U2 R2 F R L’ U L2 F2 R2 D R L’ F L2