M2 tutorial + Progression

Zane_C

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A tutorial for cubers who already have some experience with blindfold solving, this does not cover the fundamental basics.
M2 is a relatively fast method that is popular for blindfold solving the edges on the 3x3 Rubik's Cube.

Setup moves and algorithms for all the targets:
Shooting to targets outside M-slice:
UL = L U' L' U (M2) U' L U L'
UR = R' U R U' (M2) U R' U' R
FL = U' L' U (M2) U' L U
FR = U R U' (M2) U R' U'
LU = x' U L' U' (M2) U L U' x
LF = x' U L2 U' (M2) U L2 U' x
LD = x' U L U' (M2) U L' U' x
LB = x' L' U L U' (M2) U L' U' L x
BL = U' L U (M2) U' L' U
BR = U R' U' (M2) U R U'
RU = x' U' R U (M2) U' R' U x
RB = x' R U' R' U (M2) U' R U R' x
RD = x' U' R' U (M2) U' R U x
RF = x' U' R2 U (M2) U' R2 U x
DL = U' L2 U (M2) U' L2 U
DR = U R2 U' (M2) U R2 U'

An alternative for shooting to RB and LB are:
u R u'
u' L u

M-slice targets:
UB = M2
BU = B' R B U R2 U' (M2) U R2 U' B' R' B
UF = U2 M' U2 M'
FU = D M' U R2 U' M U R2 U' D' M2
DB = M U2 M U2
BD = M2 D U R2 U' M' U R2 U' M D'

Example solve:
It's a good habit to memorise in pairs, because you know the M-slice will be misaligned if the first target of the pair has been executed.

(Methods for memorising in pairs)

RF = x' U' R2 U (M2) U' R2 U x
FU: Since this is the second target of a pair, the M-slice is misaligned so you must shoot to BD: M2 D U R2 U' M' U R2 U' M D'

BR = U R' U' (M2) U R U'
UB = M2

UR = R' U R U' (M2) U R' U' R
FL = U' L' U (M2) U' L U

DB = This is the first target of a pair, so we know that the M-slice is not misaligned, therefore we shoot to DB: M U2 M U2
UL = L U' L' U (M2) U' L U L'

RD = x' U' R' U (M2) U' R U x
DL = U' L2 U (M2) U' L2 U

LB = x' L' U L U' (M2) U L' U' L x
UB = M2

Parity:
-If you solve corners first:
Leave UBL and UBR swapped. Then once you've finished the edges, apply: M2 y L2 (T-perm) L2

-If you solve edges first:
Once you've solved all the edges, apply: D' L2 D M2 D' L2 D.
Then solve an odd number of corners with Classic Pochmann.

----------------------------------------------------


NOTE: Even though this tutorial involves the use of commutators, you are not required to understand how they work.

The general idea:
Apply a setup move that transforms 2 targets, so that one target is UB and the other target (previous or preceding) is outside the M-slice.
The resultant solution will be a conjugated commutator. 'M2' will always be the interchanging move, (in other words: 'M2' will always appear twice).

The commutator will be similar to the one below:

Cycle = DF>FL>UB
Code:
U' L' U (M2) U' L U (M2)
   A     B      A'   B'

Examples:
Example #1: DF>LD>UR
U' - B L B' (M2) B L' B' M2 - U

Example #2: DF>RF>DB
B2 - B' R2 B (M2) B' R2 B M2 - B2

Example #3: DF>UF>DR
U2 - M2 U R2 U' (M2) U R2 U' - U2

Example #4: DF>FL>RB
B - U' L' U (M2) U' L U M2 - B'

Example #5: DF>UL>FR
U - M2 U R U' (M2) U R' U' - U'

Example #6: DF>RF>LB
B' - B' R2 B (M2) B' R2 B M2 - B
 
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Currently at work so cannot watch but I can already say this:

THANK YOU!

Going to switch to M2 in due time but first wanted to set a comp result with full OP.
If this tutorial is as good as your previous one I might switch sooner :)
 
For those special commutator techniques you showed in the progression video, it is impossible to use it when there are 2 edges in the M-slice to solve, right? Also, thanks for your very helpful tut!
 
For those special commutator techniques you showed in the progression video, it is impossible to use it when there are 2 edges in the M-slice to solve, right? Also, thanks for your very helpful tut!
If there are originally 2 targets in the M-slice, they can still be setup to one of these commutators, but the setup may be quite complicated (well over 1 move). You're welcome.
 
To shoot to RB and LB do:
u R u'
u' L u
Much better, isn't it?

Instead of u' L' u you can do u R' u'.

I have seen these before but I didn't really like them because I had to move where my fingers grip the cube to do u moves. I use u moves sometimes now so this insertion could be useful
 
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