A Collection of Algorithms

[CLL Smooth]

yeah, the algorithm you wrote can solve OLL, but for solving OLL only, but not PLL skip,

You said OLLCP. Nothing about PLL skip

 

[LightFlame_]

I need a new algorithm for this case

I use f sexy f' F sexy F'
( Fw R U R' U' Fw' F R U R' U' F' )

help its terrible

This is the Ja Perm that I discovered myself. Curious if anyone else uses it.
[F U' R'F] [R2 U'R' U'] [R U R' F']x2

I just use a lefty alg

 

[Duncan Bannon]

I need a new algorithm for this case

I use f sexy f' F sexy F'
( Fw R U R' U' Fw' F R U R' U' F' )

help its terrible

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

 

[xyzzy]

You said OLLCP. Nothing about PLL skip

Actually, he did say "see , the bar is in behind, regular oll bar is in left". I just didn't parse the full post after seeing "ollcp" and recalling that he didn't seem to know what OLLCP was earlier in the thread.

The real question is, why? What's special about the alg he posted? It's a decent 1LLL alg, sure, but what about the eleven other other 1LLL cases for the same OLLCP? (This is also why I think random "PLL skip" algs are completely useless for cases that aren't special enough (e.g. having two or more blocks, or belonging to a specific OLLCP subset); you're never going to be able to recognise the case when you encounter it. If you want to learn 1LLL, it'd make way more sense to learn it systematically.)

I need a new algorithm for this case
help its terrible

algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net

 

[mencarikebenaran]

Actually, he did say "see , the bar is in behind, regular oll bar is in left". I just didn't parse the full post after seeing "ollcp" and recalling that he didn't seem to know what OLLCP was earlier in the thread.

The real question is, why? What's special about the alg he posted? It's a decent 1LLL alg, sure, but what about the eleven other other 1LLL cases for the same OLLCP? (This is also why I think random "PLL skip" algs are completely useless for cases that aren't special enough (e.g. having two or more blocks, or belonging to a specific OLLCP subset); you're never going to be able to recognise the case when you encounter it. If you want to learn 1LLL, it'd make way more sense to learn it systematically.)

sorry im not native speaker of english,
and i think that OLL CP is not regular OLL
maybe u can tell me what OLL CP is

 

[LightFlame_]

sorry im not native speaker of english,
and i think that OLL CP is not regular OLL
maybe u can tell me what OLL CP is

OLLCP is an experimental LL method which orients the LL and solves the corners.

algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net algdb.net

ok ok sorry i watched this one jkc oll thingeringy and i did the alg that i did the doing the alg good
i know english ok

 

[xyzzy]

Some fancy regripless big cube ELL alg (from Christopher Mowla's 4-cycle list):

r U2 2R2 U2 r' U2 2R U2 r' U2 2R2 U2 r (and the inverse, which is just inverting the directions of all the r/2R moves)

This is the same alg as the "standard" one, but with every other slice move replaced by a wide move. It also works for solving inner parity L2E on 666/777. Needless to say, this is actually fast, unlike the one with pure slice turns; I can execute this sub-3 despite my garbage tps, whereas Kevin Hays does the pure slice turn one in 3.3 seconds.

Also, for inner parity, with either lucasparity or the r2 B2 alg, you can replace the first and last moves with wide turns. Specifically for lucasparity, there's another pair of moves that can be replaced with wide turns, but I find that it doesn't flow as well despite being shorter in ETM/OBTM.

 

[mencarikebenaran]

I have cool OLS, OLS is orientation of last slot (last pair) to skip OLL

see this :

https://alg.cubing.net/?setup=(F_R-_F-_R)3&alg=(R-_F_R_F-)3

do Sledgehammer 3 times to get OLL Skip

ELL ALgorithm Special case :

M' U' M' U' M' U' M2 U' M' U' M' U' M'

https://alg.cubing.net/?setup=M-_U-...-&alg=M-_U-_M-_U-_M-_U-_M2-_U-_M-_U-_M-_U-_M-

 

[Thom S.]

I have cool OLS, OLS is orientation of last slot (last pair) to skip OLL

see this :

https://alg.cubing.net/?setup=(F_R-_F-_R)3&alg=(R-_F_R_F-)3

do Sledgehammer 3 times to get OLL Skip

Sune or Antisune (both work ) with only R2s.
Less moves and Regripless.

R U' R' U R U2 R' U' R U R' is also good.

 

[mencarikebenaran]

My PLL algorithm :

Aa : x' R' D R' U2 R D' R' U2 R2

Ab : y x R2 D2 R U R' D2 R U' R

E : x' R U' R' D R U R' D' R U R' D R U' R' D'
Big Cubes : R2 U R' U' y R U R' U' R U R' U' R U R' F U' F2

F : R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R

Ga : R2 u R' U R' U' R u' R2 y' R' U R
Big Cubes : R2 D y R' U R' U' R D' F2 L' U L

Gb : F' U' F R2 u R' U R U' R u' R2
Big Cubes : F' U' F R2 D y R' U R U' R D' F2

Gc : R2' F2 R U2 R U2 R' F R U R' U' R' F R2

Gd : R U R' F' R U R' U R U' R' U' R F R2 U R' U' R U' R

H : M2 U' M2 U2 M2 U' M2
Big Cubes : R2 U2 R U2 R2 U2 R2 U2 R U2 R2

Ja : R' U L' U2 R U' R' U2 R L

Jb : R U R' F' R U R' U' R' F R2 U' R'

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

Nb : (R' U L' U2 R U' L)2

Ra : R U R' F' R U2 R' U2 R' F R U R U2 R'

Rb : R' U2 R U2 R' F R U R' U' R' F' R2

T : R U R' U' R' F R2 U' R' U' R U R' F'

Ua : R U' R U R U R U' R' U' R2

Ub : R2 U R U R' U' R' U' R' U R'

V : R' U R' U' y R' F' R2 U' R' U R' F R F

Y : F R U' R' U' R U R' F' R U R' U' R' F R F'

Z : M2 U' M2 U' M' U2 M2 U2 M' and M' U' M2 U' M2 U' M' U2 M2
Big Cubes : R' U' R2 U R U R' U' R U R U' R U' R'

 

[xyzzy]

4-flip U perm algs~
ccw: S U2 R U R' U' R' U' S' R' U R
cw: S U2 R' U' R U R U S' R U' R'

Should be better than the current MU algs or Kirjava's MRrU algs. Found these algs on Birdflu and either I'm really bad at searching or nobody else has found these algs before.

(I tried submitting these algs to AlgDb and it looked like the submission succeeded, but I don't know if it actually did since the submit button also looked greyed out (??) and the alg preview definitely wasn't working.)

---

Completely unrelated: a weird L2E alg I found by messing with my reduction solver.
Rw U2 D' Rw U2 Rw' F2 D Rw2 U2 Rw U2 Rw

I'm trying to see if any of the parity L2E cases have speedsolving-usable algs that aren't just domino algs, although the search hasn't turned up much else so far. This particular alg is 1 move longer than optimal (the usual 12-move alg turns out to be optimal in OBTM), and I can execute it at about the same speed as the usual alg.

Another weird alg (this one isn't even close to being as nice as the standard domino algs, but it's an honorable mention):
B' Rw U2 D' x U2 Rw' U2 Rw2 U2 Rw' U2 Rw' F x' U2 Rw'

Non-domino algs for the "double parity" L2E case (in ⟨U, D, L, R, F, B, Rw⟩):

Spoiler

14 moves (optimal within the move set)
Rw2 U2 Rw U2 Rw U2 Rw U2 D' Rw F' U2 F Rw'
(U2) Rw2 U2 Rw' U2 Rw' U2 Rw' U2 D Rw' B U2 B' Rw
(B') Rw' U F2 U' Rw F2 B' Rw F2 Rw F2 Rw F2 Rw2

15 moves
Rw U2 F2 Rw F2 Rw2 U L2 B' L B U Rw' F2 Rw2
Rw U2 F2 Rw F2 Rw2 U B' L' B L2 U Rw' F2 Rw2
Rw U2 F2 Rw F2 Rw2 U' R2 B R' B' U' Rw' F2 Rw2
Rw U2 F2 Rw F2 Rw2 U' B R B' R2 U' Rw' F2 Rw2
Rw U2 Rw' U2 D' Rw D F2 Rw F2 Rw F2 Rw' D' Rw'
Rw D' B2 D Rw' D' Rw' U2 Rw' B2 U2 Rw U2 B2 Rw2
Rw2 U2 B2 Rw B2 U2 Rw' B2 Rw' F' Rw' F U2 F' Rw
Rw2 U2 Rw U2 Rw U2 Rw U2 D L' Rw F U2 F' Rw'
Rw2 U2 Rw U2 Rw U2 Rw D L' U2 Rw F U2 F' Rw'
Rw2 U2 Rw' F2 Rw2 U F R' L U F' Rw U2 F2 Rw
Rw2 U2 Rw' F2 Rw2 U' F R' L U' F Rw U2 F2 Rw
Rw2 F2 Rw F2 Rw F2 Rw' F2 U2 Rw' U2 Rw U2 F2 Rw2
Rw2 F2 Rw' D L2 B L' B' D Rw2 F2 Rw F2 D2 Rw
Rw2 F2 Rw' D B L B' L2 D Rw2 F2 Rw F2 D2 Rw
Rw2 F2 Rw' D2 B2 Rw' D B R' D F2 B' Rw2 B2 Rw'
Rw2 F2 Rw' D2 B2 Rw' D' B' L D' F2 B Rw2 B2 Rw'
Rw2 F2 Rw' D2 B2 Rw' F D' L F' D' F2 Rw2 B2 Rw'
Rw2 F2 Rw' D2 B2 Rw' F' D R' F D F2 Rw2 B2 Rw'
Rw2 F2 Rw' D' R2 B' R B D' Rw2 F2 Rw F2 D2 Rw
Rw2 F2 Rw' D' B' R' B R2 D' Rw2 F2 Rw F2 D2 Rw
Rw' U2 Rw' U2 Rw' U2 Rw2 B R D' Rw B' U2 B Rw'

All of these seem worse than the standard alg (r2 B2 r' blahblahblah). Maybe it's possible to execute the first one slightly faster, but I definitely can't. None of the other parity L2E cases have "nice" ⟨U, D, L, R, F, B, Rw⟩ algs that aren't already domino algs. I can't reasonably search with the full move set since that takes forever, unfortunately.

 

[Christopher Mowla]

Very nice, xyzzy. As you can probably tell, I too loved finding parity algs for OLL parity cases which were not merely confined to the move set <U2,F2,D2,B2,l,r>.

Probably one of my favorite algorithms (that I found with Cube Explorer) is:
Rw2 F2 U2 Rw' F' Uw L' U2 L Uw' F' Rw' U2 Rw2 F2 Rw
which I clearly made a special note of in the wiki (and explained why it's significant).

Also, is your previous collection of 6-cycles complete now?

In addition, you may have probably noticed that I have recently added several more (19,18) and (19,19) single dedge flip algorithms as well as several brief "non-symmetrical" algorithms for the other 2-cycle cases. (r' Uw Rw Bw' r F' R' r Uw' r' Uw r' R F Bw Rw' Uw', for example.) I have been putting off a video explanation of my solver which found all of these recent additions (as well as all wide-turn-based 2-cycle parity algorithms that I found since 2010--with the sole exceptions of Challenger and Reverter--of which I am unsure why my solver missed them). Are you interested?

 

[xyzzy]

Also, is your previous collection of 6-cycles complete now?

My search was never specifically for 6-cycles, so I guess it's as complete as it'll ever be. It'd be interesting to see your thought process on coming up with all these weird parity algs.

 

[Christopher Mowla]

@xyzzy,
If you would have only been around a few years earlier (when I was still researching parity algs) than what you were, we would have had a lot of fun together! But I will try to recall my enthusiasm with posts like this one.

Also, here's some more adjacent PLL parity algs (originally posted a few pages back, but I think you might've missed it):
[Uw' R U' R' Uw' Rw2 U2 : 2R2]
y [Uw' R U R' Uw' Rw2 U2 : 2R2]
y2 [Uw R U' R' Uw Rw2 U2 : 2R2]
y' [Uw R U R' Uw Rw2 U2 : 2R2]

Added to the wiki.

I also added the PLL parity algorithms you listed in this post.

Completely unrelated: a weird L2E alg I found by messing with my reduction solver.
Rw U2 D' Rw U2 Rw' F2 D Rw2 U2 Rw U2 Rw

In single slice turns, this becomes: r U2 D' r U2 r' F2 D r2 U2 r U2 r D' F2 U2 D U2 (27,18)

I don't think I will add this to the wiki though, since shorter algs such as l' B2 l D r' D' l' B2 l D l r F2 r' F2 l' D' (21,17) are already in it.

I'm trying to see if any of the parity L2E cases have speedsolving-usable algs that aren't just domino algs, although the search hasn't turned up much else so far. This particular alg is 1 move longer than optimal (the usual 12-move alg turns out to be optimal in OBTM), and I can execute it at about the same speed as the usual alg.

Perhaps you have seen my (23,16) for the above case? It's not entirely a domino alg and thus maybe you can use it as a model for a custom search?
Rw U2 r U2 Rw U2 Rw2 F r F' Rw2 U2 Rw2 F r' F'

Also, I have been told this (16,15) algorithm of mine (if mirrored) is pretty fast for the diagonal 2-cycle case.
Uw Lw' Uw' l' Uw Lw Fw' Lw2 Uw' l' Uw Lw' L' Fw Uw'

Another weird alg (this one isn't even close to being as nice as the standard domino algs, but it's an honorable mention):
B' Rw U2 D' x U2 Rw' U2 Rw2 U2 Rw' U2 Rw' F x' U2 Rw'

Indeed it is.

It makes a decent adjacent checkerboard algorithm. (Added to the wiki.)
(Rw R U2 D' x)(r U2)2 r2 U2 r U2' (x' D U2 Rw' R')

as well as an interesting opposite hourglass algorithm. (Added to the wiki)
(B' Rw U2 D' x) U2 r' U2 r2 (U2 r')2 (x' D U2 Rw' B)

I have also added your 14 and 15 move Non-domino algs for the double parity L2E case (in ⟨U, D, L, R, F, B, Rw⟩) to the double parity subsection of this section in the wiki.


Lastly, I will be making a new section in the wiki for your collection.

I will notify you in an edit of this post when I make the addition in the wiki.

I didn't miss any other algorithms, did I?

 

[xyzzy]

I didn't miss any other algorithms, did I?

There's this weird E perm + parity (xi permutation in your list) I posted in another thread: Uw2 Rw2 U2 Rw2 R' D R' U' R (U2 D') R' D' R U2 R' (U' D) Rw2 Uw2.

Similar in spirit to FB13 on the wiki but slightly longer (it's a (27,19) by your metric) and it can be executed regripless, although the third and fourth D-layer moves are difficult nigh impossible to execute quickly and reliably.

 

[lucarubik]

I've been toying with this 4 insertion technique for comms tonight, the only reasonable aplication seems to be when the interchange is in F or B, so far this is the best one i've got
D' B2 D R' D' l U2 l' D R
you push D' with the left ring finger as you regrip with your right to do B2

and at the end of my list i got

U B2 U' R U l' D2 l U' R'
D' B2 D R' D' l U2 l' D R

l U2 l' D R D' B2 D R' D'

U' l' U2 l D' R' D F2 D' R D U
U l U2 l' D R D' B2 D R' D' U'

D2 l U2 l' D R D' B2 D R' D
U2 l D2 l' U R U' F2 U R' U

also B2 R' U R D R' U' R D' B2 exclam

 

[xyzzy]

There's this weird E perm + parity (xi permutation in your list) I posted in another thread: Uw2 Rw2 U2 Rw2 R' D R' U' R (U2 D') R' D' R U2 R' (U' D) Rw2 Uw2.

The other E perm + parity case, which most people solve with [first half of Y perm] [PLL parity] [second half of Y perm]:
z r2 u2' R2' u2' F (R U R' U')3 F' U2' R2 u2' r2'

Apart from the z rotation at the start, this alg is regripless if you start with thumb on bottom for the first r2 move. This is around half a second faster than the Y perm + insertion alg for me.

For pure diag corner swap, here's a minor variation of the Y perm + insertion alg (which I first posted in another thread):
u F R U' R' U' R U R' F' u r2 U2 2R2 U2 r2 u' R U R' U' R' F R F' u'

(Needless to say, this is also somewhat faster for me than AUFing around the parity alg. The AUFs are annoying for the PLL parity alg I use because it already starts and ends with Uw2 moves, but this is less of an issue if you use the 2R2 U2 … alg instead.)

(pinging @Christopher Mowla if he wants to add these to the wiki page)

 

[CreepersTKOED]

So I believe I have discovered a new fast Ja perm alg, you hold the solved bar on the right and you do

x r' U' r U r' U' L U r U' r2 F r U,

I have no idea if this was a known alg or not but I discovered it without looking online.

 

[h2f]

x r' U' r U r' U' L U r U' r2 F r U

It's just Jb perm on left hand. Many people use it (including me). If you rewrite it without using wide moves you will have this: L' U' L F L' U' L U L F' L2 U L U.

 

[CreepersTKOED]

It's just Jb perm on left hand. Many people use it (including me). If you rewrite it without using wide moves you will have this: L' U' L F L' U' L U L F' L2 U L U.

Thats how I figured it out, I just wasn't sure if it was widly known that it could be done cause I haven't seen anyone talk about doing it that way online.