A simple blindfold problem

[XXGeneration]

I'm pretty sure that you can solve a 2cycle in 2-3cycles.

Copy pasted from Macky's site:

...
In effect, we replace the double transposition (XY)(ZW) with two 3-cycles, (XYZ)(XWZ). This is especially useful for 4x4, where double transpositions are hard to set up.

Keep in mind that sometimes (XZW)(XZY) is also useful.

Chris

Ah, that would be very helpful; Personally, I haven't tried using two 3-cycles in place of a double transposition, but remembering all the tough ones I've had, I'll try to use them. They seem much easier than awkward double transpositions.

 

[reThinking the Cube]

The whole cube is solved except EP(1 7)(2 6). The orientation of the edges is alright - by the definition of the 3-cycle method (that's what I use). Now this should have been a simple double transposition problem. But think it over and you will see that setting it up is an involved process.

The relative orientation for edges (in this case UF<>BR) can be made different from the F2B2 orientation.

Well, *assuming* he's using Macky's guide so he's talking about F2B2 orientation and (UF BR)(UL BL), I'd say R'U'LU(Zperm)U'L'UR is obvious and U2lB(Hperm)B'l'U2 is shortest.

For this problem, I would do the 10-move DTcommutator [zF;M',U':M'] written out is, zF(M'(U'M'U)M(U'MU))F'z'

z F M' U' M' U M U' M U F' z'

Note that the setup (zF) places the pieces that need to be exchanged in the same spots as the common edge orientation alg (M'U')4, but I prefer by force of habit (M'U)4, and usually locate this and all double transpostions at (UL<>UB,DF<>DB), rather than (UR<>UB,DF<>DB). Therefore the alg that I use for simul swapping+ orientation on all 4 edge pieces is [S;M',U':M'] which written out is S(M'(U'M'U)M(U'MU))S'. Leaving out the *S* setup will prevent the top two edges (UR<>UB) from flipping, and is equivalent (less setup zF) to the original DTcommutator given earlier [zF;M',U':M'].

 

[XXGeneration]

I would do:
R' U' L (H-perm) L' U R.
It's not too hard, and pretty quick lol.

 

[qqwref]

Personally I don't like to set up to Z perms. H perms can be setup to on any face (like N perms) and are faster as well as harder to mess up.

Assuming the edges are (UF BR) (UL BL):
- If you are allowed to do R/L quarter turns, I'd do something like U R' U L setup to H-perm on U. Stefan's 3-mover is fewer moves but more confusing.
- If you are allowed to do F/B quarter turns, I'd do B U' B2 setup to H-perm on U.

 

[XXGeneration]

Personally I don't like to set up to Z perms. H perms can be setup to on any face (like N perms) and are faster as well as harder to mess up.

Assuming the edges are (UF BR) (UL BL):
- If you are allowed to do R/L quarter turns, I'd do something like U R' U L setup to H-perm on U. Stefan's 3-mover is fewer moves but more confusing.
- If you are allowed to do F/B quarter turns, I'd do B U' B2 setup to H-perm on U.

F/B turns are not allowed for 3OP; they'll mess up the orientation.

 

[Stefan]

z F M' U' M' U M U' M U F' z'

That is quite nice, didn't know that yet.

I would do:
R' U' L (H-perm) L' U R.

And you'd DNF.

F/B turns are not allowed for 3OP; they'll mess up the orientation.

Wrong.

 

[Sakarie]

I looked it up with ACube, and there are a lot of 10 STM algorithms:

Spoiler

U L E2 L' U' B2 L E2 L' B2 . (18q, 12f, 10s)
U R S2 R' U' B2 R S2 R' B2 . (18q, 12f, 10s)
F L' E' L F' E' L' E L E . (14q, 14f, 10s)
F L' E' L E' L' E L E F' . (14q, 14f, 10s)
F E F' E' L' F E' F' L E . (14q, 14f, 10s)
F E' L' E' L E L' E L F' . (14q, 14f, 10s)
B M B' R' B U M' U' B' R . (12q, 12f, 10s)
B2 L E2 L' B2 U L E2 L' U' . (18q, 12f, 10s)
B2 R S2 R' B2 U R S2 R' U' . (18q, 12f, 10s)
L2 U' L' E L2 S' L' S D F2 . (16q, 13f, 10s)
L2 U' R E R2 S' R S D F2 . (16q, 13f, 10s)
L2 D' M' B M B2 E' B U B2 . (16q, 13f, 10s)
L2 D' M' F' M F2 E' F' U B2 . (16q, 13f, 10s)
R' B U M U' B' R B M' B' . (12q, 12f, 10s)
E M S D R E2 R' U' S' M . (18q, 16f, 10s)
E' L' F E F' L E F E' F' . (14q, 14f, 10s)
E' L' E' L E F L' E L F' . (14q, 14f, 10s)
S M U F E2 F' D' M' S E' . (18q, 16f, 10s)
S M U F E2 F' U' M S' M2 . (20q, 16f, 10s)
S M U B M2 B' U' S2 M' S . (20q, 16f, 10s)
S2 M S' U F E2 F' U' S' M' . (20q, 16f, 10s)
S' M S2 U B M2 B' U' M' S' . (20q, 16f, 10s)
M S U F E2 F' U' S M' S2 . (20q, 16f, 10s)
M2 S M' U F E2 F' U' M' S' . (20q, 16f, 10s)

The one that seems the best is the one I've bolded, with a cuberotation.
x' U M U' R' U F M' F' U' R x

 

[qqwref]

Personally I don't like to set up to Z perms. H perms can be setup to on any face (like N perms) and are faster as well as harder to mess up.

Assuming the edges are (UF BR) (UL BL):
- If you are allowed to do R/L quarter turns, I'd do something like U R' U L setup to H-perm on U. Stefan's 3-mover is fewer moves but more confusing.
- If you are allowed to do F/B quarter turns, I'd do B U' B2 setup to H-perm on U.

F/B turns are not allowed for 3OP; they'll mess up the orientation.

I gave two options for a reason. Some people allow R/L but not F/B; some people allow F/B but not R/L. You choose one and neither is really better. I personally use 3OP and allow F/B.

 

[XXGeneration]

Personally I don't like to set up to Z perms. H perms can be setup to on any face (like N perms) and are faster as well as harder to mess up.

Assuming the edges are (UF BR) (UL BL):
- If you are allowed to do R/L quarter turns, I'd do something like U R' U L setup to H-perm on U. Stefan's 3-mover is fewer moves but more confusing.
- If you are allowed to do F/B quarter turns, I'd do B U' B2 setup to H-perm on U.

F/B turns are not allowed for 3OP; they'll mess up the orientation.

I gave two options for a reason. Some people allow R/L but not F/B; some people allow F/B but not R/L. You choose one and neither is really better. I personally use 3OP and allow F/B.

Ah, now that I think about it, that makes sense. Using F/B would be like using R/L except with a y/y' turn.