Roux Misoriented Centers Table

[Athefre]

For years, on the official Roux site, there has been a short list of EO + LR cases that take advantage of misorienting the centers. I have completed a table for all of the cases. While it's always great for FM, of course you wouldn't memorize all of these for speedsolves. Many are easy to recognize and can take off as many as 4+ moves compared to the path you would normally take. Those are the ones you should learn. Not all will purposefully change the center orientation. The goal is to orient the edges and solve UL+UR in as few moves as possible. Sometimes it's possible to solve a case in fewer moves when R, r, or F are added, but for now I kept the table MU based. After performing each one the edges will be left in a three misoriented on U state or, in a few cases, all edges oriented. I have placed letter codes beneath each sequence to show the total move count not including the initial AUF. The G means the guaranteed length and P is for the potential length. This is because UL+UR will be slotted either with the final move or will require a placement on D then U2M2. The top row shows the edge orientation and the left column shows the UL+UR location.

2 Misoriented

[TABLE="class: outer_border, width: 1000, align: center"]
[TR]
[TD][/TD]
[TD]

a[/TD]
[TD]

b[/TD]
[TD]

c[/TD]
[TD]

d[/TD]
[TD]

e[/TD]
[TD]

f[/TD]
[TD]

g[/TD]
[TD]

h[/TD]
[TD]

i[/TD]
[/TR]
[TR]
[TD]

1[/TD]
[TD]UM'UM
G9 P9[/TD]
[TD]M'UM'UM'
G11 P9[/TD]
[TD]MUM'UM'
G11 P9[/TD]
[TD]UMUM'UM
G11 P9[/TD]
[TD]U'MU'M'U'M
G11 P9[/TD]
[TD]UMUM
G9 P7[/TD]
[TD]UM'
G9 P9[/TD]
[TD]UM'UM'
G9 P7[/TD]
[TD]UM
G9 P9[/TD]
[/TR]
[TR]
[TD]

2[/TD]
[TD]M'U2M'UM'
G11 P9[/TD]
[TD]M'UM
G9 P7[/TD]
[TD]UM'UMUM'
G11 P11[/TD]
[TD]M'UMUM'
G11 P9[/TD]
[TD]M'U'MU'M'
G11 P9[/TD]
[TD]M'UMU2M'
G11 P9[/TD]
[TD]MU'M'
G9 P9[/TD]
[TD]U2MUMU2M
G11 P11[/TD]
[TD]M'U'M
G9 P9[/TD]
[/TR]
[TR]
[TD]

3[/TD]
[TD]MU2M'UM'
G11 P9[/TD]
[TD]UM'U2M'UM
G11 P11[/TD]
[TD]M'UM'
G9 P7[/TD]
[TD]UM'U'M'
G9 P7[/TD]
[TD]U'M'UM'
G9 P7[/TD]
[TD]M'UM'U2M
G11 P9[/TD]
[TD]UM'
G9 P9[/TD]
[TD]U2MUM'
G11 P11[/TD]
[TD]UM
G9 P9[/TD]
[/TR]
[TR]
[TD]

4[/TD]
[TD]UM'UM
G9 P9[/TD]
[TD]M'U'M
G9 P7[/TD]
[TD]UM'
G7 P5[/TD]
[TD]M'UM'UM'
G11 P9[/TD]
[TD]UM'
G7 P7[/TD]
[TD]U'MU'M
G9 P7[/TD]
[TD]U2MUM'
G9 P9[/TD]
[TD]U2M
G7 P7[/TD]
[TD]U'M
G7 P5[/TD]
[/TR]
[TR]
[TD]

5[/TD]
[TD]U'M'U'M
G9 P9[/TD]
[TD]M'UM
G9 P7[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]U'M'
G7 P7[/TD]
[TD]M'U'M'U'M'
G11 P9[/TD]
[TD]UMUM'
G9 P7[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]U2M
G7 P7[/TD]
[TD]M'U'M
G9 P9[/TD]
[/TR]
[TR]
[TD]

6[/TD]
[TD]U'M'UM
G9 P9[/TD]
[TD]MU'M'
G9 P7[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]UM'U'M'UM
G11 P9[/TD]
[TD]M'
G5 P5[/TD]
[TD]U2M'
G7 P7[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]U'M'U'M'
G9 P7[/TD]
[TD]U2M'UM
G9 P9[/TD]
[/TR]
[TR]
[TD]

7[/TD]
[TD]UM'U'M
G9 P9[/TD]
[TD]MUM'
G9 P7[/TD]
[TD]UM'
G7 P5[/TD]
[TD]M'
G5 P5[/TD]
[TD]U'M'UM'U'M
G11 P9[/TD]
[TD]U2M'
G7 P7[/TD]
[TD]MU'M'
G9 P9[/TD]
[TD]UM'UM
G9 P7[/TD]
[TD]U'M
G7 P5[/TD]
[/TR]
[TR]
[TD]

8[/TD]
[TD]UM'
G7 P5[/TD]
[TD]MUM'
G9 P7[/TD]
[TD]MUM
G9 P7[/TD]
[TD]U2MUM'
G9 P9[/TD]
[TD]U2MU'M'
G9 P9[/TD]
[TD]U2M'UM
G9 P7[/TD]
[TD]U'M'U'M
G9 P9[/TD]
[TD]UM'UMUM
G11 P11[/TD]
[TD]U'M'
G7 P5[/TD]
[/TR]
[TR]
[TD]

9[/TD]
[TD]U'M'
G9 P9[/TD]
[TD]M'
G7 P7[/TD]
[TD]U2M'UM'
G9 P7[/TD]
[TD]M'UM'
G9 P9[/TD]
[TD]UMUM
G9 P7[/TD]
[TD]U2M'U'M
G9 P7[/TD]
[TD]M
G5 P5[/TD]
[TD]U2M'
G7 P7[/TD]
[TD]UM2UM
G7 P7[/TD]
[/TR]
[TR]
[TD]

10[/TD]
[TD]UM'
G7 P5[/TD]
[TD]U2MUM'
G9 P7[/TD]
[TD]U2MUM
G9 P7[/TD]
[TD]UM'
G9 P9[/TD]
[TD]U'M'
G9 P9[/TD]
[TD]UM'
G7 P7[/TD]
[TD]U'M'UM
G9 P9[/TD]
[TD]UM2UM
G7 P7[/TD]
[TD]U'M'
G7 P5[/TD]
[/TR]
[TR]
[TD]

11[/TD]
[TD]UM'
G9 P9[/TD]
[TD]M'
G7 P7[/TD]
[TD]M'UM'
G9 P7[/TD]
[TD]U'MU'M
G9 P7[/TD]
[TD]M'U'M'
G9 P9[/TD]
[TD]U2M'UM
G9 P7[/TD]
[TD]U'M'UM
G9 P9[/TD]
[TD]U2M'
G7 P7[/TD]
[TD]M'U2MUM
G11 P9[/TD]
[/TR]
[TR]
[TD]

12[/TD]
[TD]UM
G7 P5[/TD]
[TD]U2M'UM
G9 P7[/TD]
[TD]U2M'UM'
G9 P7[/TD]
[TD]M'UM'
G9 P9[/TD]
[TD]M'U'M'
G9 P9[/TD]
[TD]UM2UM'
G7 P7[/TD]
[TD]U'M
G7 P5[/TD]
[TD]UM
G7 P7[/TD]
[TD]U'MUM'
G9 P9[/TD]
[/TR]
[TR]
[TD]

13[/TD]
[TD]UM'
G9 P9[/TD]
[TD]M
G7 P7[/TD]
[TD]MUM
G9 P7[/TD]
[TD]U2MUM'
G9 P9[/TD]
[TD]U2M2U'M
G9 P7[/TD]
[TD]U2M
G7 P7[/TD]
[TD]MU2M'UM'
G11 P9[/TD]
[TD]U2MUM'
G9 P7[/TD]
[TD]U'MUM'
G9 P9[/TD]
[/TR]
[TR]
[TD]

14[/TD]
[TD]UM
G7 P5[/TD]
[TD]M'UM
G9 P7[/TD]
[TD]M'UM'
G9 P7[/TD]
[TD]U'MU'M'
G9 P7[/TD]
[TD]UMUM'
G9 P7[/TD]
[TD]UMUM'UM'
G11 P11[/TD]
[TD]U'M
G7 P5[/TD]
[TD]U2MUM'
G9 P7[/TD]
[TD]U'MU'M'
G9 P9[/TD]
[/TR]
[TR]
[TD]

15[/TD]
[TD]U'M'
G9 P9[/TD]
[TD]M
G7 P7[/TD]
[TD]U2MUM
G9 P7[/TD]
[TD]U2M2UM
G9 P7[/TD]
[TD]U2MU'M'
G9 P9[/TD]
[TD]U2M
G7 P7[/TD]
[TD]UM2UM'
G7 P7[/TD]
[TD]U2MU'M'
G9 P7[/TD]
[TD]M'
G5 P5[/TD]
[/TR]
[/TABLE]

4 & 6 Misoriented

[TABLE="class: outer_border, width: 1000, align: center"]
[TR]
[TD][/TD]
[TD]

j[/TD]
[TD]

k[/TD]
[TD]

l[/TD]
[TD]

m[/TD]
[TD]

n[/TD]
[TD]

o[/TD]
[TD]

p[/TD]
[TD]

q[/TD]
[TD]

r[/TD]
[TD]

s[/TD]
[/TR]
[TR]
[TD]

1[/TD]
[TD]UM'
G5 P5[/TD]
[TD]M'UM'
G7 P7[/TD]
[TD]UM'UM'
G7 P7[/TD]
[TD]MUM
G7 P7[/TD]
[TD]UMUM
G7 P7[/TD]
[TD]M2UM'
G7 P7[/TD]
[TD]UM'U2M'
G13 P13[/TD]
[TD]UM'
G7 P5[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]U'MU2M'UM'
G13 P13[/TD]
[/TR]
[TR]
[TD]

2[/TD]
[TD]M
G7 P7[/TD]
[TD]M2UM'
G9 P7[/TD]
[TD]MU'M'
G9 P7[/TD]
[TD]M2UM
G9 P7[/TD]
[TD]M'U'M
G9 P7[/TD]
[TD]M'UM'U2M'UM'
G11 P9[/TD]
[TD]M2UM'
G7 P7[/TD]
[TD]M'
G7 P7[/TD]
[TD]M'
G7 P7[/TD]
[TD]M'UMUM'UM'
G13 P13[/TD]
[/TR]
[TR]
[TD]

3[/TD]
[TD]M'U2M'
G11 P11[/TD]
[TD]UM
G7 P5[/TD]
[TD]UM'UM
G7 P7[/TD]
[TD]UM'
G7 P5[/TD]
[TD]U
G7 P7[/TD]
[TD]M'
G7 P7[/TD]
[TD]UM'
G5 P5[/TD]
[TD]M'UM'
G9 P7[/TD]
[TD]M'U'M'
G9 P7[/TD]
[TD]UM'U2M'UM'
G13 P13[/TD]
[/TR]
[TR]
[TD]

4[/TD]
[TD]UM'U'M'U'M'
G11 P9[/TD]
[TD]UM'
G7 P7[/TD]
[TD]M'
G7 P5[/TD]
[TD]M
G5 P3[/TD]
[TD]UM
G5 P5[/TD]
[TD]M'U2M'
G9 P7[/TD]
[TD]U'M'U2M'
G9 P9[/TD]
[TD]UM2
G9 P9[/TD]
[TD]M2
G9 P9[/TD]
[TD]M
G9 P9[/TD]
[/TR]
[TR]
[TD]

5[/TD]
[TD]U'M'UM'UM'
G11 P9[/TD]
[TD]U'M'
G7 P7[/TD]
[TD]UM'
G5 P5[/TD]
[TD]M
G5 P3[/TD]
[TD]U2M
G7 P5[/TD]
[TD]M'U2M'
G9 P7[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]M2
G9 P9[/TD]
[TD]U'M2
G9 P9[/TD]
[TD]M
G9 P9[/TD]
[/TR]
[TR]
[TD]

6[/TD]
[TD]U'M'U'M'U'M'
G11 P9[/TD]
[TD]M'
G5 P3[/TD]
[TD]UM'
G5 P5[/TD]
[TD]UM
G7 P7[/TD]
[TD]M
G7 P5[/TD]
[TD]M'U2M'
G9 P7[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]M2
G5 P3[/TD]
[TD]M2
G9 P9[/TD]
[TD]M'
G9 P9[/TD]
[/TR]
[TR]
[TD]

7[/TD]
[TD]UM'UM'UM'
G11 P9[/TD]
[TD]M'
G5 P3[/TD]
[TD]U2M'
G7 P5[/TD]
[TD]U'M
G7 P7[/TD]
[TD]UM
G5 P5[/TD]
[TD]M'U2M'
G9 P7[/TD]
[TD]U'M'U2M'
G9 P9[/TD]
[TD]M2
G9 P9[/TD]
[TD]M2
G5 P3[/TD]
[TD]M'
G9 P9[/TD]
[/TR]
[TR]
[TD]

8[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]M
G3 P3[/TD]
[TD]UM'UM'
G7 P7[/TD]
[TD]MUM
G7 P7[/TD]
[TD]UM
G5 P5[/TD]
[TD]UM
G9 P9[/TD]
[TD]U2M'
G9 P9[/TD]
[TD]UM2UM'
G7 P5[/TD]
[TD]U'M2U'M'
G7 P5[/TD]
[TD]UM
G11 P11[/TD]
[/TR]
[TR]
[TD]

9[/TD]
[TD]M'
G9 P9[/TD]
[TD]UM2U'M'
G9 P7[/TD]
[TD]UM'UM'
G7 P7[/TD]
[TD]M
G5 P3[/TD]
[TD]U
G7 P7[/TD]
[TD]UM'
G11 P11[/TD]
[TD]UM'UMUM
G11 P9[/TD]
[TD]U2M'
G7 P5[/TD]
[TD]UM
G7 P5[/TD]
[TD]M
G9 P9[/TD]
[/TR]
[TR]
[TD]

10[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]UM'U2M
G9 P7[/TD]
[TD]UM'U'M'
G7 P7[/TD]
[TD]MUM
G9 P9[/TD]
[TD]UM
G5 P5[/TD]
[TD]UM
G9 P9[/TD]
[TD]M'
G9 P9[/TD]
[TD]U'M'
G7 P7[/TD]
[TD]UM'
G7 P7[/TD]
[TD]UM
G11 P11[/TD]
[/TR]
[TR]
[TD]

11[/TD]
[TD]M'
G9 P9[/TD]
[TD]U'M2UM'
G9 P7[/TD]
[TD]U
G3 P1[/TD]
[TD]M
G5 P3[/TD]
[TD]U
G9 P9[/TD]
[TD]U'M'
G11 P11[/TD]
[TD]U'M'UMUM
G11 P9[/TD]
[TD]U'M
G7 P5[/TD]
[TD]U2M'
G7 P5[/TD]
[TD]M
G9 P9[/TD]
[/TR]
[TR]
[TD]

12[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]M'UM'
G9 P9[/TD]
[TD]UM'
G5 P5[/TD]
[TD]UMU2M'
G9 P7[/TD]
[TD]UMU'M
G7 P7[/TD]
[TD]UM'
G9 P9[/TD]
[TD]M'
G9 P9[/TD]
[TD]UM2
G7 P5[/TD]
[TD]U'M2
G7 P5[/TD]
[TD]UM'
G11 P11[/TD]
[/TR]
[TR]
[TD]

13[/TD]
[TD]M
G9 P9[/TD]
[TD]M'
G5 P3[/TD]
[TD]U
G9 P9[/TD]
[TD]U'M2UM
G9 P7[/TD]
[TD]U
G3 P1[/TD]
[TD]U'M'
G11 P11[/TD]
[TD]U'MUM'UM'
G11 P9[/TD]
[TD]M'
G7 P5[/TD]
[TD]U'M'
G7 P5[/TD]
[TD]M'
G9 P9[/TD]
[/TR]
[TR]
[TD]

14[/TD]
[TD]UM'U2M'
G9 P9[/TD]
[TD]M'UM'
G7 P7[/TD]
[TD]UM'
G5 P5[/TD]
[TD]M'
G3 P3[/TD]
[TD]UMUM
G7 P7[/TD]
[TD]UM'
G9 P9[/TD]
[TD]U2M'
G9 P9[/TD]
[TD]UM'
G7 P7[/TD]
[TD]U'M'
G7 P7[/TD]
[TD]UM'
G11 P11[/TD]
[/TR]
[TR]
[TD]

15[/TD]
[TD]M
G9 P9[/TD]
[TD]M'
G5 P3[/TD]
[TD]U
G7 P7[/TD]
[TD]UM2U'M
G9 P7[/TD]
[TD]UMUM
G7 P7[/TD]
[TD]UM'
G11 P11[/TD]
[TD]UMUM'UM'
G11 P9[/TD]
[TD]UM'
G7 P5[/TD]
[TD]M'
G7 P5[/TD]
[TD]M'
G9 P9[/TD]
[/TR]
[/TABLE]
​

I found these by hand and spent a lot of time on each, but I think some can still be improved. I plan to run all of these through a solver and may add it to the wiki sometime soon. If you find a mistake or something better for a case, post to let me know.

 

[Cool Frog]

I was actually working on this for a while (But you published it first!)

Will look over this in more detail/ trade and shtuff.

 

[A Leman]

Great Work! You found 285 cases by hand. I am going to look through this although I always finish F2B with the centers correct or opposite (helps my recognition).

 

[PandaCuber]

What, yesssssssssss.

 

[waffle=ijm]

thanks athefre. I look forward to taking these in.

 

[PandaCuber]

Example solve please. I dont understand.

 

[pijok]

Example solve please. I dont understand.

Scramble: M' U M2 U2 M2 U M2 U M U' M U M2 U2 M U2 M U2 M2 U2 M' U' M U' M'
2 Misoriented:
AUF: U2
Alg from table: UM2UM'
Now all edges are oriented, continue with 4b

Scramble: U' M2 U2 M U' M U2 M U M' U' M' U M2 U2 M' U M U' M U2 M' U' M' U2
4 Misoriented:
AUF: U
Alg from table: M'
Now 3 edges on top are misoriented, continue with:
U M' U M'
4c

 

[PandaCuber]

Im not seeing the solution...

 

[Athefre]

Scramble: M' U M2 U2 M2 U M2 U M U' M U M2 U2 M U2 M U2 M2 U2 M' U' M U' M'
2 Misoriented:
AUF: U2
Alg from table: UM2UM'
Now all edges are oriented, continue with 4b

Close, but notice the orientation relative to the corners. The solution would instead be:

AUF: U
Alg: UM2UM' (notice this puts the LR edges in a better position than your solution)
Finish: UM'U2M UM2U2M

Scramble: U' M2 U2 M U' M U2 M U M' U' M' U M2 U2 M' U M U' M U2 M' U' M' U2
4 Misoriented:
AUF: U
Alg from table: M'
Now 3 edges on top are misoriented, continue with:
U M' U M'
4c

AUF: U2
Alg: U'M'
Finish: UM'UM' UMU2M2U2

 

[Renslay]

Aaaaaw... Now I see it!

 

[5BLD]

better alg for one of the cases RUr'MUM'U'rU'R' and inverse
i know more will post later maybe

thumbs up for putting the effort into that

 

[Athefre]

Thanks. I added it to the table but it didn't look right. When I edit this into the wiki, I should be able to make this easier to understand and include both RrMU and MU. Also, the inverse has a 7 move MU solution.

 

[5BLD]

Yeah you're right about the inverse whoops
Also RU'r'U'M'UrUR' and inverse
R'FRU:M2 is same as optimal
Theres obviously M':B'RB or the A9 for the ELL etc

 

[pijok]

Close, but notice the orientation relative to the corners. [..]

Wow, didn't noticed there are multiple AUF's including corner orientation

 

[Athefre]

Yeah you're right about the inverse whoops
Also RU'r'U'M'UrUR' and inverse
R'FRU:M2 is same as optimal
Theres obviously M':B'RB or the A9 for the ELL etc

These are showing their potential for fewest moves. Though R'FRU:M2 can be (U2)MUM'U2M'U2M' and M':B'RB is MU'M'UMUM'.

One thing I should note is that this is LR neutral. If you really cared about the individuality of the LR edges relative to the corners, there would be another set of cases sometimes slightly different. So far I'm unsure if it matters because any Roux user experienced enough to understand this would probably know to invert a U move.

 

[Renslay]

Are you sure g1 is correct?

 

[pijok]

Are you sure g1 is correct?

Set up: U M' U2 M2 U M' U M' U2 M U M U M U'

From the table:
U M' Three missoriented on top
U2 M U M orient
U' M' U2 M' Finish 4b


I would do:
U M U M'
U' M U' M'
U M2

 

[Renslay]

Set up: U M' U2 M2 U M' U M' U2 M U M U M U'

From the table:
U M' Three missoriented on top
U2 M U M orient
U' M' U2 M' Finish 4b


I would do:
U M U M'
U' M U' M'
U M2

Exactly. I think some of the recommended solutions are long/wrong/weird/etc. I would check them all, but I'm not good in searching alternatives.

 

[Athefre]

No. As I mentioned a couple times, many don't solve the orientation and instead just solve up to the three misoriented on U case. This is a good thing because it allows you to learn only what is necessary to get to the point where you make your decision for where to place the LR edges. Instead of finishing 4a+4b with M'UM', sometimes you want to do MU2M2(UM') or something similar.

When I find the time, I'll finish the other half of this so I'll no longer have to explain that this is LR neutral.

 

[andrjob]

Great work! Today I try to use it when I was solving cube - fewes moves (with Roux). At the end I redused lse algorithm by 4 moves.

But I dont understand what explain G and P? (under algorithm). For example: G8 P7