Playing With Roux Orientations

M' U2 M' U2 M' U M' U2 M' U2 M' (11,15)
M'UMU2MUM'U2MU'M (or symmetrical friend) in only 13-SQTM long.

It's slightly harder to memorize but definitely is faster than mine.

M'UM'UMUMUM'UM' is very nice too.

I think I have been too hasty in printing out my cheat sheet. Nice alternatives. I think I will have to reprint, or edit with my pen ;).

I still have a hard time pulling off M smoothly. I do M' by pulling at the B facelet of DB with my left ring finger, and M2 by first pulling with my left ring finger, then pulling again with my left middle finger.

What is the least clumsy way of doing M? Right now, I tend to do (L M) L', using my right thumb to catch the M layer while I do L'.
 
I still have a hard time pulling off M smoothly. I do M' by pulling at the B facelet of DB with my left ring finger, and M2 by first pulling with my left ring finger, then pulling again with my left middle finger.

What is the least clumsy way of doing M? Right now, I tend to do (L M) L', using my right thumb to catch the M layer while I do L'.

That's the way most people do it. But for M, some use r'R, some use lL'. Bob Burton has said a couple of times that he uses his thumb to push FD.

Since we are talking about faster solutions now:

2. M'UM'U2M'U'M'

4. M'U2M'UM'UM'U2M'

5. MUM'UM

6. M'U2MUM'UM'U2M'

8. M'UM'U'MUM

Didn't spend much time on them, but they are faster than the originals. Set up Case 3 then do E'M'EM, annoying isn't it?.
 
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The new revised list (revised):

1. M' U2 M' U M U M' U' M' (9,10)
2. M' U M' U2 M' U' M' (7,8)
3. M' U M' U M U M U M' U M' (11,11)
4. M' U2 M' U M' U M' U2 M' (9,11)
5. M U M' U M (5,5) A rotation instead of a reflection of case 7.
6. M' U2 M U M' U M' U2 M' (9,11)
7. M' U M U M' (5,5)
8. M' U M' U' M U M (7,7)
9. M' U2 M' U2 M' (5,7)
10. M' U M' U M' U M' (7,7)
11. M' U M' U M U M' U2 M' U M (11,12)

That's the way most people do it. But for M, some use r'R, some use lL'. Bob Burton has said a couple of times that he uses his thumb to push FD.

I've looked at BB's suggestion to push at FD. I can't quite figure out how to complete the turn (ie, align the layers in preparation for a U move) without contorting my hand position/grip.

I am going to experiment between doing lL' , and doing about a 1/8th of L', pulling at UF with my left thumb, and realigning both layers with my left hand.
Set up Case 3 then do E'M'EM, annoying isn't it?.

I have wondered about E layer moves. I think that they would likely be more ergonomic than F layer moves.
 
I have been revisiting an old idea I was playing with when I used to do corners first, and checking its feasibility with Roux.

The idea is to solve the final 6 edges in 2 steps.

Step 1

Solve RU and place the LU edge in the LU slot, but flipped.

Step 2

Orient LU and solve the M slice, with 1 of 24 algorithms.

The rationale behind placing LU in the flipped position in Step 1 is to force the orientation pattern of the M edges into one of two patterns: one flipped or 3 flipped. This seems to help a bit with pattern recognition.

If you were to direct solve RU and LU, there would be 28 different algorithms for Step 2. For the cases with 2 adjacent edges flipped, there would be eight 3 edge cycles to learn, which could get confusing, as you would also have eight other 3 edge cycles to learn,

For Step 2, all you need to do is park the odd M edge at UF, identify where it belongs by comparing it to the U and F centers, and identify the edge at DF. The UB and DB edges don't need to be considered, as they can only be in one position (you can't swap 2 edges, and since you know UF and DF, knowing the BU and BD edges give you no additional information). In fact, you don't even need to know what permutation pattern you are looking at (3 cycle, double diagonal swap, double adjacent swap, permuted)-just identify the front 2 edges and execute the right algorithm.

You will have to adjust the M slice in 3/4 cases, but that is trivial.

I looked at my old algorithms when I worked this system out a few years ago, and wasn't sure if the algorithms were any good. I searched them again with cube explorer 5.0 and found much better algorithms.

The first column identifies which edge is at UF. The second column identifies which edge is at DF

UF Oriented, Remaining M Edges Flipped

UF DF M' U M' U M' U M' U (8f*)
UF DB U' M U M' F2 U' M' U F2 (9f*)
UF UB U M' U2 M U M U' M U (9,10)
DF UF U' M U M2 U2 M U M' U (9,11)
DF DB U M' U' M U2 M2 U' M U' (9f*)
DF UB U' M U' M U' M U M U2 (9,10)
DB UF M' U' M U M U M U' (8f*)
DB DF U M' U' M' U' M' U (7f*)
DB UB U M' U M2 U2 M' U M U M' U2 (11,14)
UB UF U M' U' M' U' M' U' M2 U2 (9f*)
UB DF U' M U2 M' U M' U' M' U' (9f*)
UB DB U M' U' M' U' M' U' M U2 (9f*)

UF Flipped, Remaining M Edges Oriented

UF DF M2 U M U2 M' U M' U M' U2 M U (12,15)
UF DB M U' M' U2 M U M U M U2 M' U' (12,14)
UF UB M U M' U M' U2 M U2 M' U M' U (12,14)
DF UF F' L F' M2 F2 M F' L' F (9f*)
DF DB M F L F' M2 F2 M F' L' F' (10f*)
DF UB F' L F' M F2 M2 F' L' F (9f*)
DB UF B2 M' B L' B M' B2 M2 B L B (11f*)
DB DF F' L F' M2 F2 M F' L' F' M F2 (11f*)
DB UB F' L F' M F2 M2 F' L' F' M F2 (11f*)
UB UF M' B L' B M' B2 M2 B L B' (10f*)
UB DF F' L F M2 F2 M' F L' F (9f*)
UB DB F' L F M' F2 M2 F L' F (9f*)

Some of the algorithms in the last set of 12 work best by rotating the cube with x or x', but doesn't require a last x or x', as the cube will be solved at the end of this step.

Looking at all the cases which use L, U, and M turns makes it tempting to mirror both steps ( solve LU, insert RU flipped in Step 1), so that these cases are in the RMU group of moves.

Step 1 should be solved intuitively. There are a few cases which can take up to 7 moves to solve optimally, but some can be solved in 3 moves.

In the event of LU and RU getting solved accidentally during CMLL, just orient the M layer and solve it in 2 steps.

In any case, this gives a true 2 look solve of the last 6 edges.
 
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