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PapaSmurf

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Jan 4, 2018
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2016TUDO02
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I'd do
COLL cancel into RUS U perm. ((U') F U2 R' U' R F' R' U2 F U F' U' R also exists.)
COLL cancel into RUS U perm. (Inverse of the alg above also works).
Same priniciple as the last 2.
Same principle as the last 3.
F' r2 U2 R' F' R U2 r' U r'
F R U R' U' S D' R' F' R D f' R' F R (I should switch to this anyway).
Same principle as first 4.
R' U2 R' D' R U2 R' D R2
Same principle as first 4.
I use a bad alg for this case, but try F U' R' U R D R' U R D'U F' R' U R or f R U R2 F R f' R S U' S' R' F'
R2 D r' U2 r D' R' U2 R'
L' U2 R U' R' U2 L R U' R', inverse or (U) l' U2 L2 F' L' F L' U2 l
 

AlgoCuber

Member
Joined
Mar 12, 2021
Messages
267
Nb
R' U r' F2 R F' M' U r' F2 R F' r
13 moves STM (May require a starting regrip)

Ja
Make sure the bar of 3 is on the front
R' U r' F2 R F' R' F2 R r
10 moves STM (May require a starting regrip)

Jb
Make sure the bar of 3 is on the left
r' F R F' r U2 R' U R U2 R'

11 moves STM (No regrips whatsoever)

IMO, my Ja and Nb perms are better than the standard ones but the Jb perm is worse

Here is my PLL compilation that I made. I put some of the popular ones in, as well as some of my own and ones that I could not find online. Although this is not as thorough as some other compilations, I tried to include the best algorithms I know. Some of these can be used for OH and others are easy to learn. All the algorithms also include a link to an animation of the algorithm. Find the algorithms that work best for you! Read the notes in the documents before trying them. Learning finger tricks is recommended for these algorithms. Reply down below if you have any suggestions for algorithms and I will try to add in the best ones. Thanks!

This is a currently unfinished list, I will update it when I have the time. I will turn off viewing when I am editing.
Okay, I am now finished
 
Last edited:

xyzzy

Member
Joined
Dec 24, 2015
Messages
2,878
Adding on to an earlier post I made here:
For OH, this E perm actually seems good despite the length:
F U' R U' R' U2 R U' R' U R' U2 R U R' U R F'

If you take out the F moves, this is just solving the last slot's corner and then doing a back Antisune. It's the fastest one I've tried so far. And yes, I know about the one that starts with hedge and ends with some f moves.

The other PLL cases that can be solved with F-2gen-F' are U perms (useless), T perm (bad algs), G perms (haven't tried all bad) and V perm (meh algs).

It's probably common knowledge to people who've tried genning ZBLL algs that half of the diag ZBLLs can be solved with F-RU-F', with the only exceptions being those with pieces permuted like the N perms or Y perm. Most of these F-RU-F' diag ZBLL algs are awful (long and/or has overturning), but there are a few that aren't. Here are the F-RU-F' diag ZBLLs that I use (or used to use):

F U' R U' R' U2 R U' R' U R' U2 R U R' U R F' (E perm from the quoted post above; OH only)
F R U' R2 U2 R U R' U R2 U R' F' and inverse (ZBLL S/AS; OH only)
F R U R' U R U2 R U2 R2 U' R2 U' R2 F' and inverse (ZBLL S/AS)
F U' R2 U R' U R U2 R2 U' R U2 R' F' and inverse (ZBLL T)
F R U' R' U' R U2 R' U' R U' R' U' R U2 R' U' F' (ZBLL U)
F sexy3 F' and inverse (ZBLL H; F sexy3' F' solves same case but may be better depending on grip)
F R2 U' R U' R U' R' U2 R' U R2 F' and inverse (ZBLL pi; OH only)
F U R' U' R2 U' R2 U2 R U2 R U R' F' (ZBLL pi)

It's fairly easy to convert F-RU-F' algs to Fw-RU-Fw' algs too (replace F/F' with Fw/Fw' and swap U/U' with R/R'), but I don't like Fw moves so I don't know or care if any of the Fw versions are better (by having less regrips/overturning etc.).

Some adj ZBLLs can also be solved like that, but the proportion is smaller (5/12 = 42%). I haven't learnt the full set of adj ZBLLs, so obviously I can't give a full compilation of "good" F-RU-F' algs, but here are some examples:

F R U R' U' R U' R' U' R U R' F' and inverse (ZBLL T/U)
F U R U2 R' U R U R' F' and inverse (ZBLL T/L)
F U R U' R' U R U2 R' U' R U R' F' and inverse (ZBLL pi/H)

One interesting feature of the F-RU-F' ZBLL algs is that they always preserve the UF edge. This is because the F move flips it while moving it to RF, so it has to be flipped back, and the only way it can be flipped back is if after all the ⟨R,U⟩ moves it gets sent to RF; then after the F' move it's back where it started. This makes AUF prediction much easier to memorise. (This is not true of the F-RU-F' 1LLL algs in general, e.g. F R U R' U' F'.)

There are also some F-RUS-F' ZBLL algs that are worth using, such as F R2 U' R2 U R2 U S R2 f' = F R2 U' R2 U R2 U (S R2 S') F'. Since S R2 S' / S' U2 S preserve edge orientation, some of these algs also preserve the UF edge, but this is no longer guaranteed (because nobody said you had to use S moves only as part of S R2 S' or S' U2 S). Conversely, short F-RUS-F' ZBLL algs that preserve the UF edge are likely to use S moves only within S R2 S' or S' U2 S.

(edit: fixed a calculation error that led to the mistaken statement that most diag ZBLLs can be solved with F-RU-F', which was very incorrect. we regret the mistake etc.)
 
Last edited:
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Nb
R' U r' F2 R F' M' U r' F2 R F' r
13 moves STM (May require a starting regrip)

Ja
Make sure the bar of 3 is on the front
R' U r' F2 R F' R' F2 R r
10 moves STM (May require a starting regrip)

Jb
Make sure the bar of 3 is on the left
r' F R F' r U2 R' U R U2 R'

11 moves STM (No regrips whatsoever)
That Jb is used as an adjacent swap alg in 2x2 and its bad for 3x3. However, a variation of this alg, L' U R U' L U2 R' U R U2 R' is used by some people for OH, the Ja is a variation of R' U L' U2 R U' R' U2 R r but it's ok and the Nb is a variation of (R' U L' U2 R U' L)2 which I used to use. The M' isn't worth it though. You can write it as r R'.

My 2 cents.
 

Fyplus

Member
Joined
Apr 6, 2021
Messages
7
Using a stochastic program, I've just discovered an algorithm for OLL 29:

oll_66.png

R'U'F'UL'FRF'LF

The algorithm contains only 10 moves, shorter than any existing one that I've known.
However, I found it not very practical to use, very against human-nature, I mean..

On https://www.speedsolving.com/wiki/index.php/OLL, I see there it is documented: "Optimal moves: 10HTM", so I'm pretty sure someone else have found it before.

So I'm just wondering, is it very common that some short but unpractical algorithms exist?
 

rokicki

Member
Joined
Oct 31, 2008
Messages
301
Just running a new version of twsearch and found what I think is a new adjacent double-parity algorithm for the 4x4x4; it's only 17QTM.

2F 2F 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L

I make no claim this is particularly useful for speedsolving, but the algorithm itself is kind of cute.

For completeness, here are all optimal 17-move slice quarter-move solutions to this position:

Code:
 2F 2F 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L
 2F 2L' U' B' U' D' F 2U' F' U D B U 2L' 2F' 2L 2L
 2B 2B 2R 2B U R U D L' 2D L U' D' R' U' 2B 2R'
 2B' 2R U' B' U' D' F 2D F' U D B U 2R 2B 2R 2R

and here are all optimal 16-move slice half-move solutions to this position:

Code:
 2F 2L' U' B' U' D' F 2U' F' U D B U 2L' 2F' 2L2
 2F2 2L 2F' U2 L2 U' R' L' 2D' R L U L2 U2 2F' 2L'
 2F2 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L
 2F' 2L' U2 F2 U B F 2D' B' F' U' F2 U2 2L' 2F 2L2
 2B 2R U2 F2 U B F 2U B' F' U' F2 U2 2R 2B' 2R2
 2B2 2R 2B U R U D L' 2D L U' D' R' U' 2B 2R'
 2B2 2R' 2B U2 L2 U' R' L' 2U R L U L2 U2 2B 2R
 2B' 2R U' B' U' D' F 2D F' U D B U 2R 2B 2R2
 2L 2F U2 L2 U R' L' 2D R L U' L2 U2 2F 2L' 2F2
 2L2 2F' 2L U2 F2 U' B F 2D B' F' U F2 U2 2L 2F
 2R2 2B 2R' U2 F2 U' B F 2U' B' F' U F2 U2 2R' 2B'
 2R' 2B' U2 L2 U R' L' 2U' R L U' L2 U2 2B' 2R 2B2
 

rokicki

Member
Joined
Oct 31, 2008
Messages
301
Here's some optimal-in-a-blended-metric ones for checkerboard-in-opposite-dedges.
Only 13 QTM.

2L' 2F 2L' U2 s' 2L' s U2 2L' 2F' 2L'

Code:
2L' 2F 2L' U2 s' 2L' s U2 2L' 2F' 2L'
2L' 2F' 2L' U2 s 2L' s' U2 2L' 2F 2L'
2L' 2B 2L' U2 s 2L' s' U2 2L' 2B' 2L'
2L' 2B' 2L' U2 s' 2L' s U2 2L' 2B 2L'
2R' 2F 2R' U2 s' 2R' s U2 2R' 2F' 2R'
2R' 2F' 2R' U2 s 2R' s' U2 2R' 2F 2R'
2R' 2B 2R' U2 s 2R' s' U2 2R' 2B' 2R'
2R' 2B' 2R' U2 s' 2R' s U2 2R' 2B 2R'
 

Fyplus

Member
Joined
Apr 6, 2021
Messages
7
OLL/PLL algorithm discovered using Bidirectional BFS.
These algorithm are "optimal moves"(QTM). They consist of RR'LL'UU'DD'FF'BB' only, and all ending with R/R'.
Most of these need human processing (inserting some xyz moves for example) to be practical to use.


OLL 1:
F'U'LF'L'FFUFR'F'R
BUL'BLBBU'B'RBR'

OLL 2:
F'U'FRBULU'L'UB'R'
F'U'FRBUL'BLBBR'
FR'F'RURRB'R'BU'R'
B'RBR'U'RRFRF'UR
BUB'R'F'U'L'ULU'FR
BUB'R'F'U'LF'L'FFR
RBR'ULU'L'RUB'U'R'
R'U'F'UL'RU'LUR'FR
BUB'UR'F'L'U'LU'FR
R'F'RU'L'ULR'U'FUR
F'U'FU'RBLUL'UB'R'
RUBU'LR'UL'U'RB'R'
BLU'FU'F'L'B'UR'UR
BLU'FUF'U'L'B'R'UR
R'U'BFFLFL'B'UFR
BLLF'L'FU'L'B'R'UR
LFUF'U'L'RUBU'B'R'
RBUF'LU'L'UB'FU'R'
RBUF'L'BLBBFU'R'
RUBF'U'LUL'FU'B'R'
R'U'BF'UL'U'LB'UFR
F'LLBLB'ULFRU'R'
R'F'U'BL'ULU'B'FUR
R'F'U'BLF'L'B'FFUR
L'B'U'BULR'U'F'UFR
RUBBF'L'B'LFU'B'R'
F'L'UB'UBLFU'RU'R'
F'L'UB'U'BULFRU'R'

OLL 3:
R'UFR'F'R'DL'B'LD'R'
BLUL'U'B'R'U'F'UFR
B'U'R'URBRBUB'U'R'
F'U'L'UFR'F'LU'FUR
F'U'L'ULFR'F'U'FUR
FURU'BR'F'RUB'U'R'
FURU'R'F'RBUB'U'R'
BULU'L'B'R'F'U'FUR
R'D'LF'L'DRUFR'F'R
R'D'LF'L'DR'B'R'BUR'
RB'R'BURDL'B'LD'R'

OLL 4:
RU'B'RBRD'LFL'DR
F'L'U'LUFRUBU'B'R'
B'U'R'URBR'F'U'FUR
B'U'R'UF'RBR'U'FUR
F'U'L'ULFRBUB'U'R'
FURU'R'F'R'F'U'FUR
BULU'B'RBL'UB'U'R'
BULU'L'B'RBUB'U'R'
R'FRF'U'R'D'LFL'DR
RDL'BLD'RFRF'U'R
RDL'BLD'R'U'B'RBR'

OLL 5:
R'FFLFL'FR

OLL 6:
RBBL'B'LB'R'

OLL 7:
RBL'BLBBR'

OLL 8:
R'F'LF'L'FFR

OLL 9:
B'U'BRB'R'URBR'
R'F'UL'U'LU'FUR

OLL 10:
FUF'R'FRU'R'F'R
RBU'LUL'UB'U'R'

OLL 11:
B'R'U'RUBR'F'U'FUR
RD'BRULU'L'R'B'DR'
F'L'U'LUFRBUB'U'R'
BLUL'B'RDL'B'LD'R'
BLUL'UB'RRFRF'R
RRDL'B'LD'R'BUB'R'
F'UUFURBLUL'B'R'
R'F'UFRRDL'B'LD'R'
RU'LBUFU'B'F'L'UR'
RBL'BL'DLD'LBBR'
RBUB'U'BL'BLBBR'

OLL 12:
FRUR'U'F'RBUB'U'R'
R'DF'R'U'L'ULRFD'R
F'L'U'LFR'D'LFL'DR
F'L'U'LU'FRRB'R'BR'
RRD'LFL'DRF'U'FR
BLUL'U'B'R'F'U'FUR
R'F'U'FUF'LF'L'FFR
R'F'LF'LD'L'DL'FFR
R'UL'F'U'B'UBFLU'R
BUUB'U'R'F'L'U'LFR
RBU'B'RRD'LFL'DR

OLL 13:
FR'F'U'FRF'R'UR

OLL 14:
B'RBUB'R'BRU'R'

OLL 15:
BLB'R'BUL'U'B'R
R'F'L'RU'LUR'FR

OLL 16:
F'L'FRF'U'LUFR'
RBLR'UL'U'RB'R'

OLL 17:
FR'F'RUURU'BU'B'R'
RU'B'RBLRD'FDL'R
R'UFR'F'L'R'DB'D'LR'
B'RBR'UUR'UF'UFR
R'U'F'LUF'U'L'UFFR
LU'F'LFLRD'BDLR'
RUBL'U'BULU'BBR'
L'UBL'B'L'R'DF'D'L'R
F'U'L'ULU'FUFR'F'R
BULU'L'UB'U'B'RBR'
LF'L'FULR'DF'D'L'R
R'FRF'U'LR'D'FDL'R
RB'R'BUL'RDB'D'LR'
L'BLB'U'L'RD'BDLR'

OLL 18:
F'U'FRBLUL'UB'U'R'
FR'F'RURU'BUB'U'R'
B'RBR'U'R'UF'U'FUR
BUB'R'F'L'U'LU'FUR
F'L'U'LU'FUUFR'F'R
BLUL'UB'UUB'RBR'
F'U'L'UB'UBLFRU'R'
BULU'FU'F'L'B'R'UR
F'UUFRBLUL'UB'R'
BLU'FU'F'L'B'R'UUR
F'L'UB'UBLFRUUR'
BUUB'R'F'L'U'LU'FR

OLL 19:
RBBUL'U'B'ULB'U'R'
R'FFU'LUFU'L'FUR
LR'D'F'DL'RUFR'F'R
LR'D'F'DL'R'B'R'BUR'
L'RDBD'LRFRF'U'R
L'RDBD'LR'U'B'RBR'

OLL 20:
L'U'BULB'U'B'RUBU'R'
LUF'U'L'FUFR'U'F'UR
LR'U'F'UFUFUF'U'L'R
RUBF'ULUL'U'B'FU'R'
RUBF'ULU'L'U'B'FU'R'
L'RU'B'UBUBUB'U'LR'
LR'UFU'F'U'F'U'FUL'R
R'U'BF'U'L'ULUB'FUR
R'U'BF'U'L'U'LUB'FUR
L'RUBU'B'U'B'U'BULR'

OLL 21:
L'U'LU'L'U'RU'LUR'
LUL'ULUR'UL'U'R

OLL 22:
L'URU'LU'R'U'RU'R'
LU'R'UL'URUR'UR

OLL 23:
B'URU'R'U'BRUUR'
FU'R'URUF'R'UUR
FUUF'R'UFUF'U'R
B'UUBRU'B'U'BUR'

OLL 24:
FRB'R'F'RBR'
B'R'FRBR'F'R
BLB'RBL'B'R'
F'L'FR'F'LFR

OLL 25:
B'R'F'RBR'FR
F'LFR'F'L'FR
BL'B'RBLB'R'
FRBR'F'RB'R'

OLL 26:
L'URU'LUR'

OLL 27:
LU'R'UL'U'R

OLL 28:
B'RBLR'U'R'UL'R
FR'F'L'RURU'LR'
F'LFL'RU'L'ULR'
BLUL'B'R'F'U'FR
F'L'U'LFRBUB'R'
BL'B'LR'ULU'L'R
BUB'R'F'L'U'LFR
F'U'FRBLUL'B'R'
LDFD'L'RFU'F'R'
L'DB'D'LR'BUB'R
LD'FDL'RF'U'FR'
L'D'B'DLR'B'UBR
LFR'F'L'RURU'R'
B'FDRD'BF'RU'R'
B'FD'RDBF'R'U'R
B'FDR'D'BF'RUR'
B'FD'R'DBF'R'UR
L'B'RBLR'U'R'UR

OLL 29:
B'U'R'UF'RBR'FR

OLL 30:
FURU'BR'F'RB'R'

OLL 31:
R'U'FURU'R'F'R
LR'UFU'F'L'U'R

OLL 32:
RUB'U'R'URBR'
L'RU'B'UBLUR'

OLL 33:
F'U'FUFR'F'R
BUB'U'B'RBR'

OLL 34:
FUF'U'R'F'LFL'R
BUB'U'L'B'RBLR'
F'U'FULFR'F'L'R
B'U'BURBL'B'LR'

OLL 35:
RUURRFRF'RUUR'
R'UURRB'R'BR'UUR
RUB'RBRRURUUR'
RUB'RD'RDRRBU'R'
R'U'FR'F'RRU'R'UUR
R'U'FR'DR'D'RRF'UR
FUUF'U'R'FRU'R'F'R
B'UUBURB'R'URBR'

OLL 36:
R'B'RFR'F'U'R'UBR
R'F'UFU'F'L'U'LFR
L'B'UBLR'FU'F'UR
R'F'U'FFURU'R'F'R
BUB'R'UF'L'U'LFR

OLL 37:
FR'F'RURU'R'
B'RBR'U'R'UR

OLL 38:
RFR'B'RBURU'F'R'
RBUBBU'R'URBR'
LFU'F'L'RB'UBU'R'
RBU'B'UBLUL'B'R'
F'U'FRU'BLUL'B'R'

OLL 39:
RB'R'U'RUBU'R'
RU'L'B'U'BULR'
LU'R'F'U'FUL'R

OLL 40:
R'FRUR'U'F'UR
R'ULFUF'U'L'R
L'URBUB'U'LR'

OLL 41:
LRRD'F'DFRF'L'R
LLRD'B'DBLB'LR'
L'B'RDLBL'D'BLR'
R'F'LDRFR'D'FL'R
LR'F'U'R'F'RFUL'R
L'RB'U'L'B'LBULR'

OLL 42:
L'RRDBD'B'R'BLR'
LLR'DFD'F'L'FL'R
LFR'D'L'F'LDF'L'R
RBL'D'R'B'RDB'LR'
LR'FULFL'F'U'L'R
L'RBURBR'B'U'LR'

OLL 43:
R'U'F'UFR

OLL 44:
RUBU'B'R'

OLL 45:
R'F'U'FUR
RBUB'U'R'

OLL 46:
RBU'LUL'B'R'
RURB'R'BU'R'
R'F'UL'U'LFR
R'U'R'FRF'UR

OLL 47:
R'F'U'FUF'U'FUR

OLL 48:
RBUB'U'BUB'U'R'

OLL 49:
R'U'RRB'R'BU'B'RBR'
RB'RRBUUBUUB'R
RB'RRFRRBRRF'R
B'R'F'RBR'FU'F'UFR
F'LFR'F'LLULU'FR
RF'UUFUUFRRF'R
BUB'UBU'B'R'F'U'FR
BULU'L'UB'R'F'U'FR
LUFU'F'L'R'U'F'UFR
R'FR'F'RRUUB'RBR'
RBUB'U'RRU'F'UFR

OLL 50:
RURRFRF'UFR'F'R
R'FRRB'RRF'RRBR'
R'FRRF'UUF'UUFR'
BL'B'RBLLU'L'UB'R'
FRBR'F'RB'UBU'B'R'
F'U'L'ULU'FRBUB'R'
R'BUUB'UUB'RRBR'
L'U'B'UBLRUBU'B'R'
F'U'FU'F'UFRBUB'R'
R'F'U'FURRUBU'B'R'
RB'RBRRUUFR'F'R

OLL 51:
RUBU'B'UBU'B'R'
R'U'F'UFU'F'UFR

OLL 52:
RUBU'BL'B'LB'R'
RUR'URU'BU'B'R'
R'U'F'UF'LFL'FR
R'U'RU'R'UF'UFR
R'F'U'FU'RUR'UR
R'F'LF'L'FU'FUR
RBUB'UR'U'RU'R'
RBL'BLB'UB'U'R'

OLL 53:
R'FFLFL'F'LFL'FR
RF'U'L'UFRRF'LFR
R'FRF'UURRB'R'BR'
R'FRF'U'FR'F'RRU'R'
R'F'LF'L'FLF'L'FFR

OLL 54:
R'BULU'B'RRBL'B'R'
RBBL'B'LBL'B'LB'R'
RB'R'BUB'RBRRUR
RB'R'BUURRFRF'R
RBL'BLB'L'BLBBR'

OLL 55:
B'R'UF'U'FFRBR'F'R
FRU'BUBBR'F'RBR'

OLL 56:
F'L'U'LUL'FR'F'LFR
BLUL'U'LB'RBL'B'R'
R'F'L'FRRF'U'LUFR'
RBLB'RRBUL'U'B'R

OLL 57:
BLU'L'B'R'F'UFR
BLFU'F'L'B'R'UR
F'L'ULFRBU'B'R'
F'L'B'UBLFRU'R'
LUL'U'L'RBLB'R'
FUF'LR'DF'D'L'R
F'UFLR'D'F'DL'R
BUB'L'RDB'D'LR'
B'UBL'RD'B'DLR'
L'U'LULR'F'L'FR
FU'F'LR'DFD'L'R
F'U'FLR'D'FDL'R
BU'B'L'RDBD'LR'
B'U'BL'RD'BDLR'
L'FU'F'LR'DFD'R
L'F'U'FLR'D'FDR
BF'UB'U'B'FRBR'
BF'U'FUB'FR'F'R
LBUB'L'RDB'D'R'
LB'UBL'RD'B'DR'

PLL 1 (U Permutation : a):
R'F'LR'DFD'L'RFU'R
RRU'R'U'RURURU'R
RU'BL'RD'BDLR'B'R'
RU'RURURU'R'U'RR
R'B'D'URUR'DU'BU'R
LUFU'F'L'R'F'U'FUR
RU'FDU'R'URD'UF'R'
RRU'B'FRRBF'U'RR

PLL 2(U Permutation : b):
RBL'RD'B'DLR'B'UR'
RRURUR'U'R'U'R'UR'
R'UF'LR'DF'D'L'RFR
L'U'B'UBLRBUB'U'R'
R'UR'U'R'U'R'URURR
RFDU'R'U'RD'UF'UR'
R'UB'D'URU'R'DU'BR
RRUB'FRRBF'URR

PLL 3(H Permutation):
BFUUB'F'L'R'UULR
B'F'UUBFLRUUL'R'

PLL 4(Z Permutation):
UBL'B'LRB'L'RB'LBRR
FUFR'F'RU'F'RUBU'B'R'
U'FFR'B'RBF'RB'F'RBR'
U'F'LFL'R'FLR'FL'F'RR
UBBRFR'BF'R'BFR'F'R
B'U'B'RBR'UBR'U'F'UFR
F'L'U'LUFR'F'L'ULU'FR
F'L'U'LUFR'U'FR'F'RUR
B'R'UF'U'FRBR'U'F'UFR
FRU'BUB'R'F'RUBU'B'R'
BLUL'U'B'RBLU'L'UB'R'
BLUL'U'B'RUB'RBR'U'R'

PLL 5(A Permutation : a):
RBURU'L'UR'U'LB'R'
R'B'UR'D'RU'R'DRBR
RBFR'F'RB'R'FRF'R'
R'BFR'BRF'R'B'RB'R
RUBLB'R'BL'B'RU'R'
RDUL'D'LU'L'DLD'R'
R'DUL'DLU'L'D'LD'R
R'D'FL'B'LF'L'BLDR
R'F'LU'R'UL'U'RUFR
RBBU'F'UB'U'FUB'R'
RFRDR'U'RD'R'UF'R'
L'UR'DDRU'R'DDLR
R'D'LDL'U'LD'L'DUR
R'UL'DDLU'L'DDLR
LRDDL'U'LDDL'UR'
R'U'FDF'U'FD'F'UUR
RD'LD'L'U'LDL'DUR'
RU'FD'F'U'FDF'UUR'
R'FFD'BDF'D'B'DF'R
RDLFL'B'LF'L'BD'R'
RRFFR'B'RFFR'BR'
R'U'RF'L'FR'F'LFUR
RF'RF'R'B'RFR'BFR'
RB'DF'D'B'DFD'BBR'
R'B'RBR'F'RB'R'BFR
R'FR'BBRF'R'BBRR
R'F'UBU'F'UB'U'FFR
RUUB'D'BU'B'DBU'R'
R'UUB'DBU'B'D'BU'R

PLL 6(A Permutation : b):
RFU'RDR'URD'R'F'R'
RB'F'RF'R'BRFR'FR'
R'B'F'RBR'FRB'R'BR
R'F'U'R'ULU'RUL'FR
RD'U'LD'L'ULDL'DR'
R'D'U'LDL'ULD'L'DR
RDB'LFL'BLF'L'D'R'
R'U'F'L'FRF'LFR'UR
RBL'URU'LUR'U'B'R'
R'FFUBU'FUB'U'FR
LU'RDDR'URDDL'R'
RU'LDDL'ULDDL'R'
R'DL'DLUL'D'LD'U'R
L'R'DDLUL'DDLU'R
RBBDF'D'BDFD'BR'
R'UB'DBUB'D'BUUR
R'B'R'D'RUR'DRU'BR
RDL'D'LUL'DLD'U'R'
RUB'D'BUB'DBUUR'
RB'RFFR'BRFFRR
RUUFD'F'UFDF'UR'
R'UUFDF'UFD'F'UR
RFR'F'RBR'FRB'F'R'
RBU'F'UBU'FUBBR'
RUR'BLB'RBL'B'U'R'
R'BR'BRFR'B'RB'F'R
R'FD'BDFD'B'DFFR
RRBBRFR'BBRF'R
R'D'L'B'LFL'BLF'DR

PLL 7(E Permutation):
FRBR'F'LRFL'B'LF'L'R'
BLFL'B'LRBR'F'RB'L'R'
F'L'B'LFL'R'F'RBR'FLR
B'R'F'RBL'R'B'LFL'BLR
BFRF'LFR'B'F'RBL'B'R'
B'F'R'BL'B'RBFR'F'LFR

PLL 8(T Permutation):
FRU'R'F'URU'BL'ULB'UR'
B'R'URBU'R'UF'LU'L'FU'R
F'UL'BUB'LU'FUR'F'U'FR
BU'LF'U'FL'UB'U'RBUB'R'
FRU'R'URURRF'RURU'R'
ULFU'F'RUR'FUF'L'RU'R'
UL'U'LR'F'UFL'ULF'U'FR
B'R'URU'R'U'RRBR'U'R'UR
U'L'B'UBR'U'RB'U'BLR'UR
U'LUL'RBU'B'LU'L'BUB'R'
FR'DR'BRDB'D'B'D'RRF'R'
BRBBDLDLD'B'L'BD'BR'
RDBBLBDLD'B'L'BD'BR'
RB'DB'LBDL'D'B'L'BBD'R'
B'RD'RF'R'D'FDFDRRBR
F'R'FFD'L'D'L'DFLF'DF'R
R'FD'FL'F'D'LDFLFFDR
R'D'FFL'F'D'L'DFLF'DF'R
F'U'FUFR'FFUFUF'U'FR
F'R'FFD'LFUL'U'L'F'DF'R
RFUURUFRF'U'R'UF'UR'
RU'FU'RUFR'F'U'R'UUF'R'
B'RD'RFUFU'R'F'DRRBR
BUB'U'B'RBBU'B'U'BUB'R'
BRBBDL'B'U'LULBD'BR'
R'B'UUR'U'B'R'BURU'BU'R
R'UB'UR'U'B'RBURUUBR
FR'DR'B'U'B'URBD'RRF'R'

PLL 9(F Permutation):
BUB'UUL'UR'U'LRUB'RBR'
BLB'RBR'UL'U'LRU'L'UB'R'
B'RBR'UBFU'B'UF'UUR'UR
B'R'UF'U'BFU'F'UB'RBR'FR
R'URU'RRF'U'FURFR'F'RR
RU'FRUFRDF'U'FD'F'R'F'R'
RRB'R'BRUBU'B'RRU'RUR'
R'B'R'B'D'BU'B'DRBURBU'R

PLL 10(V Permutation):
R'B'R'BU'BUBBRBURU'R
RFRF'UF'U'FFR'F'U'R'UR'
RU'RUFRFFUFU'FR'F'R'
RU'RUFD'FDFFRFR'F'R'
RU'RUFD'FL'FLFFDF'R'
RFRF'R'FFD'F'DF'U'R'UR'
RFD'FFL'F'LF'DF'U'R'UR'
R'UR'U'B'R'BBU'B'UB'RBR
R'B'DBBLBL'BD'BURU'R
R'B'R'BRBBDBD'BURU'R
R'UR'U'B'DB'D'BBR'B'RBR
R'UR'U'B'DB'LB'L'BBD'BR

PLL 11(Y Permutation):
RRU'RB'D'RDRFR'F'R'BR
R'B'RFRF'RBUR'U'RURR
RFR'B'R'BRDRD'F'RU'RR
RRURRB'RFDR'D'BRF'R'
RRUR'FDR'D'R'B'RBRF'R'
RRU'RRFR'B'D'RDF'R'BR
R'B'RFRF'R'D'R'DBR'URR
RFR'B'R'BR'F'U'RUR'U'RR
RRURU'R'UFRB'RBRF'R'
RRU'RF'R'URUFU'F'U'FR
LRBUUL'ULUB'L'BUB'R'
R'F'UFL'F'ULUL'UUFLR
RBU'B'U'BURUR'B'RU'RR
L'B'UBR'B'URUR'UUBLR
RRU'R'URU'B'R'FR'F'R'BR
RRUR'BRU'R'U'B'UBUB'R'
L'R'F'UULU'L'U'FLF'U'FR
LFU'F'RFU'R'U'RUUF'L'R'
R'F'UFUF'U'R'U'RFR'URR
RBU'B'LBU'L'U'LUUB'L'R'
R'B'RFD'R'DBRF'RRURR
RFR'B'DRD'F'R'BRRU'RR
R'F'UFR'D'FLFL'FFDRR
RRD'FFLF'L'F'DRF'U'FR
RRDBBL'BLBD'R'BUB'R'
RBU'B'RDB'L'B'LBBD'RR

PLL 12(J Permutation a):
B'RBRRUF'L'ULFU'R
URRFRFFL'ULFU'R
B'D'RFRF'RRDBR'UR
U'R'U'BRB'U'BR'B'UUR
B'URUR'UUBRB'UBR'
B'RFDR'D'BRF'RURR
F'L'U'FR'F'LF'D'F'DF'R
FFL'U'LFFR'DR'D'RR
FFU'F'LF'R'DFD'L'F'R
LU'R'UL'UURU'R'UUR
FDFD'L'FU'F'LF'R'F'R
U'R'UF'L'U'LFFR'F'RR
U'L'UR'UULU'L'UULR
L'UULUL'UURU'LUR'
U'R'UL'UURU'R'UULR
UL'R'UURUR'UULU'R
F'R'UFUF'UURFR'UR
F'L'U'FUF'U'F'LF'R'F'R
UR'UB'URUR'U'BUUR
F'UL'B'U'BLU'FFR'F'R
UR'U'B'U'BRB'UBR'UR
B'RD'RDRF'RBR'UFR
B'RBRD'F'RUR'FDRR
F'U'FR'D'FFLF'L'F'DR
BBDBD'BRRF'UFRR
FFD'L'FU'F'LDF'R'F'R
FR'U'RF'R'UUFU'F'U'R
B'RBRF'RURU'R'UFR
B'RBRF'RUR'FDR'D'R'
UR'UUBRB'UBR'B'UR
U'R'U'RB'U'BR'B'UBUR
B'U'BR'B'UURU'R'U'BR
U'R'UUB'URU'R'U'BU'R

PLL 13(J Permutation b):
FR'F'RRU'BLU'L'B'UR'
FU'R'U'RUUF'R'FU'F'R
FR'B'D'RDF'R'BR'U'RR
BLUB'RBL'BDBD'BR'
URUF'R'FUF'RFUUR'
U'RRB'R'BBLU'L'B'UR'
FDR'B'R'BRRD'F'RU'R'
L'URU'LUUR'URUUR'
B'D'B'DLB'UBL'BRBR'
URU'BLUL'BBRBRR
BBLUL'BBRD'RDRR
BBUBL'BRD'B'DLBR'
ULU'RUUL'ULUUL'R'
URU'LUUR'URUUL'R'
U'LRUUR'U'RUUL'UR'
BU'LFUF'L'UBBRBR'
U'RUFUF'R'FU'F'RU'R'
LUUL'U'LUUR'UL'U'R
U'RU'FU'R'U'RUF'UUR'
BLUB'U'BUBL'BRBR'
BRU'B'U'BUUR'B'RU'R'
BUB'RDBBL'BLBD'R'
FR'F'R'DBR'U'RB'D'RR
FFD'F'DF'RRBU'B'RR
FR'DR'D'R'BR'F'RU'B'R'
FUF'RFUUR'URUF'R'
URUR'FUF'RFU'F'U'R'
URUUFU'R'URUF'UR'
U'RUUF'R'FU'F'RFU'R'
B'RUR'BRUUB'UBUR'
FR'F'R'BR'U'RB'D'RDR
FR'F'R'BR'U'R'URU'B'R'
BBDLB'UBL'D'BRBR'

PLL 14(R Permutation : b):
UR'UF'LFRF'L'FUR'UUR
UR'URULR'D'L'ULDL'UR
B'RBR'UBULUL'B'R'UUR
RRFRUR'U'R'UF'R'FU'F'R'
U'R'U'LD'L'U'LDL'RU'R'U'R
RFUF'RFU'RURU'R'F'RR
F'UUFRBU'B'U'R'U'FR'F'R
U'R'UURU'F'LFR'F'L'FU'R

PLL 15(R Permutation : a):
U'RU'R'U'L'RDLU'L'D'LU'R'
U'RU'BL'B'R'BLB'U'RUUR'
RRB'R'U'RURU'BRB'UBR
URUL'DLUL'D'LR'URUR'
BUUB'R'F'UFURUB'RBR'
R'B'U'BR'B'UR'U'R'URBRR
FR'F'RU'F'U'L'U'LFRUUR'
URUUR'UBL'B'RBLB'UR'

PLL 16(G Permutation : c):
R'FFL'FRF'U'LUFR'FR
FFD'LU'LUL'DFFRU'R'

PLL 17(G Permutation : d):
R'F'RF'U'L'UFR'F'LFFR
BUB'RRD'FU'F'UF'DRR

PLL 18(G Permutation : a):
RBBLB'R'BUL'U'B'RB'R'
BBDL'UL'U'LD'BBR'UR

PLL 19(G Permutation : b):
RBR'BULU'B'RBL'BBR'
F'U'FRRDB'UBU'BD'RR

PLL 20(N Permutation : a):
LU'RUUL'ULR'U'RUUL'UR'
BUBU'B'UL'D'RB'R'DLRB'R'
FRB'F'D'FRF'DBU'RUR'U'R'

PLL 21(N Permutation : b):
L'UR'UULU'L'RUR'UULU'R
F'U'F'UFU'LDR'FRD'L'R'FR
B'R'BFDB'R'BD'F'UR'U'RUR
 
Last edited:

xyzzy

Member
Joined
Dec 24, 2015
Messages
2,878
1LLL / pure OLL I guess:
r U' r' S' r' U r2 S' U r' S r' U' R

(I had this in a Notepad++ tab and I forgot what I was doing with it.)

edit: The mirror r' U r S' r U' r2 S' U' r S r U R' actually seems… good? Definitely faster than doing the normal OLL into a Z perm.
 
Last edited:

xyzzy

Member
Joined
Dec 24, 2015
Messages
2,878
Some ELL + PLL parity case
visualcube.php

2R U 2R' U' 2R' U' 2R U 2R U' 2R' U' 2R' U 2R
(also works if you invert the directions of all the 2R moves, or of all the U moves, or of all the moves, thanks to the layer-swapping automorphisms)

Alternatives(?):
2R2 U2 2R2 u2 2R2 u2 M' U M2 U M U2 M' U M' (opp swap into normal ELL)
r2 B2 r2 b2 2R2 b2 M' U M2 U R2 B2 R2 U' M' (lots of left hand regrips)
x' r2 U2 r2 u2 2R2 u2 M' F M2 F R2 U2 R2 F' M' (x) (or a single initial regrip with lots of F moves)
3r U R' U 2R2 U2 2R2 u2 2R2 u2 U R U' R' U M (set up to adj swap)
 
Last edited:

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
1,184
Location
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(Awesome new algs!)
I added them to this section of the wiki. (There were 4 duplicates, FYI.)

I had to also update this table/section in the wiki too. (Adjacent double parity used to be the number 1 rank -- for the worst case!) And it's interesting that these algs are also 22 OBTM (like my 23,16). When I saw @qwr 's thread, about his 1.5 half turn metric idea, I remembered my move count ranking system (this table)!

Is the adjacent checkerboard next?:cool:

(Awesome new algs!)
I added them to this section of the wiki.

(Awesome new alg!)
I added it to this section of the wiki.
 

AlgoCuber

Member
Joined
Mar 12, 2021
Messages
267
Algs genned by Hagis: https://basilio.dev/cubing/
Potentially good V perms? Here they are:
F' R' F' R U' R U R2 F R U F U' F
R' F R' U R' U' R2 F2 R' F U R' F' R2 F
R' D2 R D R' U R D2 R D R2 D' R U' D' R
R D R2 D' R2 U R D R' D2 R U' R' U D R2
R U R D R2 U' R D' R U R U' R' D R2 D' R

I really like the first one, as it is completely regripless and without overwork if you fingertrick it correctly. The RUD ones flow very nicely as well. However, I'm not so sure about the second one...
 
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