Yet another OLS subset: OLS-FE

[Escher]

what is the total number of algorithms? for the OLS and its subsets?

Hard to say really, easily in the thousands - it would be a complete waste of time to learn it all.

RV covers a bit, MGLS a few more, this a little... There are only 3-5 more f2l cases I would even consider generating and learning besides.

[sa11297]

Hard to say really, easily in the thousands - it would be a complete waste of time to learn it all.

RV covers a bit, MGLS a few more, this a little... There are only 3-5 more f2l cases I would even consider generating and learning besides.

well yes, I just thought that someone had the exact number, anyways, it does not really matter. Either way full OLS would be impractical to say the least.

[Divineskulls]

I like all the last slot/oll options that are popping up. Very good to know for the more advanced cubers that want an extra edge for every few solves. Thanks for posting Rowan.

well yes, I just thought that someone had the exact number, anyways, it does not really matter. Either way full OLS would be impractical to say the least.

I believe a lot of this is still being experimented with. Someone (I think it was aronpm) posted a list of LS->LL possibilities, and and that is, I believe, a more general term than OLS. Someone should create one master diagram of all the methods/subgroups/steps/pseudo-steps. I think I might do that, actually... Sorry, I'm getting off on a tangent. :P

[Bob]

thank you, and yes this does sound VERY advanced. what is the total number of algorithms? for the OLS and its subsets?

thank you, and yes this does sound VERY advanced. what is the total number of algorithms? for the OLS and its subsets?

I did a quick calculation on this. If you take each F2L case, you just have to look at the number of distince edge orientations and the number of distince corner orientations.

For most F2L cases (36 of 41), there are 8 distinct edge orientations each with 27 distince corner orientations.

For three cases, there are only 2 distinct edge orientations (because the edge and corner are both permuted, and the edge is flipped in the F2L), and those have 27 corner orientations each.

There are also two F2L cases in which the edge and corner are permuted but the corner is misoriented. This allows (assuming I have counted symmetric cases correctly) only 57 cases for each of these last two F2L cases.

Therefore, we have 36*8*27 + 3*2*27 + 2*57 = 7776 + 162 + 104 = 8042 distince OLS cases (not including regular OLL).

In other words, OLS on its own is extremely impractical. I think the only practical subsets would be RV (and its mirror), the RV equivalent of Summer Variation (and its mirror), the OLS-FE cases, the CLS cases from MGLS (the ones with corner permuted but twisted would be okay with flipped edges because of the limited number of cases--the ones with the corner in the LL would probably not be worth it except for when all edges oriented), and perhaps the case with a flipped edge and twisted corner both permuted. The last case has the advantage of having only 54 cases because the F2L pieces are both in the F2L. In general, if you have any LS piece in the LL, it makes for a bad OLS case except for WV/SV cases because it's natural to turn those other F2L cases into these.

[Rubiks560]

So, I've learned about 3-4 sets of 1FE, and I'm trying to figure out when exactly this should be used. Do you think it's something that should be used every solve? Or just when it's easy to insert the flipped edge pair?

[Robert-Y]

I would personally only use it when the flipped edge pair is already in place.

[Bob]

I have actually liked this case for a last slot for a long time. There are only two ZBLS algs required for it because you always have 1 or 3 flipped edges. You just need to know where to put the 1 good/bad edge. Man, there's so many things I want to learn right now. :/

[Robert-Y]

Bump.

I've added almost 45-50 new and mostly better algorithms. Enjoy.

[Ranzha V. Emodrach]

For A-1FE, the alg I use is (R2 U R' U') r' U2 (R U R U') (R2' U2' M').

A lot of these algs are fantastic! =O

[advincubing]

So, I asked this on the one-answer-thread (here), and got great answers already. But that's not a great place for follow-up. So, here's a thread dedicated to it.

I was looking for a better F2L edge flip algorithm than this: (R U' R') d (R' U2 R) U2' (R' U R). Based on the responses, it seems that this is the most efficient/common, and is the first listed on the wiki (#38):

(R' F R F') R' U2 R2 U R2' U R

OTHER OPTIONS ARE:

Optimal Algorithms (9 HTM):
F2 U2 R' F2 R U2 F U' F
F' U F' U2 R' F2 R U2 F2
R U' R U2 F R2 F' U2 R2
R2 U2 F R2 F' U2 R' U R'

RrU Algorithms (10 HTM):

R U' r' R' U2 R2 U R2 U r
r' U' R2 U' R2 U2 r R U R'

RFU Algorithms (9 HTM):

F2 U2 R' F2 R U2 F U' F
F' U F' U2 R' F2 R U2 F2
R U' R U2 F R2 F' U2 R2
R2 U2 F R2 F' U2 R' U R'

I'm having a really tough time figuring out a rhythm/finger placement, etc. for (R' F R F') R' U2 R2 U R2' U R. I looked on Youtube for videos on this algorithm, but haven't found any. Anyone have good suggestions on technique/finger-tricks? Or a video?

Thanks.