A Collection of Algorithms

Kirjava · Dec 1, 2011

15:43:57 <+Kirjava> http://i.imgur.com/pWB4d.png
15:44:16 <+Kirjava> [R'U'RU,lr']

I wants one

qqwref · Dec 6, 2011

Dumping some optimal 2-F-move PLLs (there are probably a few optimal ones I missed but the optimal lengths should be accurate):

Code:

[B]A-perm a[/B]
HTM-optimal: 11f
 R U' R F2 R' U R' U' R2 F2 R2

QTM-optimal: 15q
 R U' R F2 R' U R' U' R2 F2 R2

[B]A-perm a[/B]
HTM-optimal: 11f
 R2 F2 R2 U R U' R F2 R' U R'

QTM-optimal: 15q
 R2 F2 R2 U R U' R F2 R' U R'

[B]E-perm[/B]
HTM-optimal: 18f
 R' U2 R U' F' R' U R' U2 R U R' U R2 F R' U' R
 R' U R F' R2 U' R U' R' U2 R U' R F U R' U2 R
 R U R' U R' F U' R2 U' R2 U2 R' U' R F' R' U R2
 R2 U F' U R' U' R U R' U' R U R' U' R F U' R2
 R2 U F' R' U R U' R' U R U' R' U R U' F U' R2
 R2 U' R F R' U R U2 R2 U R2 U F' R U' R U' R'
 R2 U2 F' U' R' U R U' R' U R U' R' U R F U2 R2
 R2 U2 F' R' U' R U R' U' R U R' U' R U F U2 R2
 F U R2 U' R U R' U R2 U' R' U R' U' R U' R F'
 F U' R U' R U R' U R U2 R' U R' U' R U2 R' F'
 F U' R U' R' U2 R U' R' U R' U2 R U R' U R F'
 F U' R' U R' U' R2 U R' U R U' R2 U R U' R F'
 F R U2 R' U R U' R U2 R' U' R U' R' U R' U F'
 F R' U R' U R U' R U R2 U' R U' R' U R2 U' F'
 F R' U R' U' R2 U R' U' R U' R2 U R U' R U F'
 F R' U' R U' R' U2 R U' R U R' U2 R U R' U F'

QTM-optimal: 20q
 R2 U F' U R' U' R U R' U' R U R' U' R F U' R2
 R2 U F' R' U R U' R' U R U' R' U R U' F U' R2
 F U R2 U' R U R' U R2 U' R' U R' U' R U' R F'
 F U' R U' R U R' U R U2 R' U R' U' R U2 R' F'
 F U' R U' R' U2 R U' R' U R' U2 R U R' U R F'
 F U' R' U R' U' R2 U R' U R U' R2 U R U' R F'
 F R U2 R' U R U' R U2 R' U' R U' R' U R' U F'
 F R' U R' U R U' R U R2 U' R U' R' U R2 U' F'
 F R' U R' U' R2 U R' U' R U' R2 U R U' R U F'
 F R' U' R U' R' U2 R U' R U R' U2 R U R' U F'

[B]F-perm[/B]
HTM-optimal: 15f
 R2 U R2 U2 F2 U R2 U2 R2 U R2 U' R2 U2 F2
 R2 U R2 U' R2 U2 R2 U' F2 U2 R2 U' R2 U' F2
 F2 U R2 U R2 U2 F2 U R2 U2 R2 U R2 U' R2
 F2 U2 R2 U R2 U' R2 U2 R2 U' F2 U2 R2 U' R2
 R2 U' F2 U2 R2 U' R2 U2 R2 U R2 U F2 U2 R2
 R2 U2 F2 U' R2 U' R2 U2 R2 U R2 U2 F2 U R2

QTM-optimal: 19q
 R U R' U' R' U R U F' U R' U R U2 F R U' R'
 R U R' F' U2 R' U' R U' F U' R' U' R U R U' R'
 R U R U F' U' R U R' U' R' U2 F U' R' U2 R'
 R U2 R U F' U2 R U R U' R' U F U' R' U' R'
 R' U' R U' R' U R U R2 F' R U R U' R' F U R
 R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R

[B]G-perm a[/B]
HTM-optimal: 15f
 F2 U R U2 R' U' R' U2 R2 U R' F2 R' U R
 R' U' F2 U R U2 R U2 R' U F2 U2 R U' R'

QTM-optimal: 18q
 R U R' U' R' U F R U R U' R' F' U R' U2 R

[B]G-perm b[/B]
HTM-optimal: 15f
 R' U' R F2 R U' R2 U2 R U R U2 R' U' F2
 R U R' U2 F2 U' R U2 R' U2 R' U' F2 U R

QTM-optimal: 18q
 R' U2 R U' F R U R' U' R' F' U' R U R U' R'

[B]G-perm c[/B]
HTM-optimal: 14f
 R2 U2 R2 F2 U' R2 U R2 U F2 U2 R2 U' R2

QTM-optimal: 17q
 R2 U' R U' R U R' U R' F' R' U R U' F R'

[B]G-perm d[/B]
HTM-optimal: 14f
 R2 U R2 U2 F2 U' R2 U' R2 U F2 R2 U2 R2

QTM-optimal: 17q
 R F' U R' U' R F R U' R U' R' U R' U R2

[B]J-perm a[/B]
HTM-optimal: 13f
 R' F R' U' R2 U' R2 U R' F' R U R2
 R2 U' R' F R U' R2 U R2 U R F' R

QTM-optimal: 16q
 R' F R' U' R2 U' R2 U R' F' R U R2
 R2 U' R' F R U' R2 U R2 U R F' R
 F R' U R U' F' U R' U2 R U' R' U2 R
 R' U2 R U R' U2 R U' F U R' U' R F'
 R' U' R U F R U' R' U' R' U R2 U R' F'
 R' U' R U' R' U F U R' U' R F' R' U R2
 R2 U' R F R' U R U' F' U' R U R' U R
 F R U' R2 U' R U R U R' F' U' R' U R

[B]J-perm b[/B]
HTM-optimal: 11f
 R U' F U' R' U' R U F' U2 R'
 R U2 F U' R' U R U F' U R'

QTM-optimal: 12q
 R U' F U' R' U' R U F' U2 R'
 R U2 F U' R' U R U F' U R'

[B]N-perm a[/B]
HTM-optimal: 15f
 R2 U R2 U' R2 U' F2 U' R2 U R2 U F2 U2 R2
 R2 U2 F2 U' R2 U' R2 U F2 U R2 U R2 U' R2

QTM-optimal: 21q
 R U2 R2 U' R2 F' R U R' U' R' F R' U R U2 R'
 R U2 R' U' R F' R U R U' R' F R2 U R2 U2 R'
 R U R' U R U' F U' R' U' R U F' U2 R' U2 R U' R'
 R U R' U2 R U2 F U' R' U R U F' U R' U' R U' R'

[B]N-perm b[/B]
HTM-optimal: 15f
 R2 U F2 U2 R2 U R2 U2 R2 U' R2 U2 F2 U' R2
 R2 U' R2 U2 F2 U' R2 U2 R2 U F2 U2 R2 U R2

QTM-optimal: 23q?
 R U' R' U R' U2 R2 U R2 F2 U R U R U' R' U' F2
 F2 U R U R' U' R' U' F2 R2 U' R2 U2 R U' R U R'
 R' U2 R' U' R2 U F' U' R U R' U' R2 U2 R F R' U R
 R' U2 F U R2 U2 R' U' R U R' F' R U2 R' U' R' U R
 R' U' R U R U2 R' F R U' R' U R U2 R2 U' F' U2 R
 R' U' R F' R' U2 R2 U R U' R' U F U' R2 U R U2 R

[B]R-perm a[/B]
HTM-optimal: 13f
 R2 F2 U R U R' U' R' U' F2 R' U R'
 R U' R F2 U R U R U' R' U' F2 R2

QTM-optimal: 16q
 R2 F2 U R U R' U' R' U' F2 R' U R'
 R U' R F2 U R U R U' R' U' F2 R2

[B]R-perm b[/B]
HTM-optimal: 13f
 R2 F R U R U' R' F' R U2 R' U2 R
 R' U2 R U2 R' F R U R' U' R' F' R2

QTM-optimal: 16q
 R2 F R U R U' R' F' R U2 R' U2 R
 R' U2 R U2 R' F R U R' U' R' F' R2

[B]T-perm[/B]
HTM-optimal: 14f
 R U R' U' R' F R2 U' R' U' R U R' F'
 F R U' R' U R U R2 F' R U R U' R'

QTM-optimal: 15q
 R U R' U' R' F R2 U' R' U' R U R' F'
 F R U' R' U R U R2 F' R U R U' R'

[B]V-perm[/B]
HTM-optimal: 15f
 R2 U2 R2 U R2 U2 F2 U R2 U R2 U2 F2 U' R2
 R2 U2 R2 U' F2 U2 R2 U' R2 U' F2 U2 R2 U R2
 R2 U F2 U2 R2 U' R2 U' F2 U2 R2 U' R2 U2 R2
 R2 U' R2 U2 F2 U R2 U R2 U2 F2 U R2 U2 R2

QTM-optimal: 19q
 R U' R' U R F R' U' R2 U R U' R U R2 F' R'
 R F R2 U' R' U R' U' R2 U R F' R' U' R U R'

[B]Y-perm[/B]
HTM-optimal: 14f
 R2 U' R2 U F2 U' R2 U' R2 U F2 R2 U R2
 R2 U' R2 F2 U' R2 U R2 U F2 U' R2 U R2

QTM-optimal: 19q
 R2 U' R2 U' R2 U R' F' R U R2 U' R' F R
 R' F' R U R2 U' R' F R U' R2 U R2 U R2
 R' U' R U' R U' F U' R' U' R U F' U2 R2 U R
 R' U' R2 U2 F U' R' U R U F' U R' U R' U R

Kirjava · Dec 9, 2011

U2R2DRU2R'D'RU2RU2

edit: R2 U2 r B R2 B' r' U R2 U R2
R2 D2 z2 R U r2 D' R' D r2 U r2

Sajwo · Dec 10, 2011

What's the algorithms for 4x4 OLL parity to
- two edges opposite
- two edges side by side
- two corners opposite
- two corners side by side?

sorry for my english.

BadMeetsEvil · Dec 10, 2011

Sajwo said:
What's the algorithms for 4x4 OLL parity to
- two edges opposite
- two edges side by side
- two corners opposite
- two corners side by side?

Based on the method you use, I think its possible to have either only edge parity or only corner parity. You can switch corner parity to edge parity using the t and n perms.

For corners -
Adjacent swap - z' Rw2 x U2 R' U2 x' U2 R' U2 R U2 L' x U2 Rw2 U2 Rw2 U2 Rw2 x' U2 Rw2 z U
Diagonal swap - Rw2 R' U2 R' U2 R U2 Rw2 x' U2 Rw2 U2 Rw2 U2 L' x U2 R U2 R' U2 L Rw2

For Edges -
Adjacent swap - R' U R U r2 U2 r2 Uw2 r2 Uw2 U R' U' R
Opposite swap - r2 U2 r2 Uw2 r2 u2

Jaycee · Dec 10, 2011

@ QQ : T-Perm's optimal HTM length is 11, not 14.

I might start using this F-Perm you posted :O

R2 U R2' U' R2 U2 R2' U' F2 U2' R2 U' R2' U' F2 (U2)

Kirjava · Dec 10, 2011

Jaycee said:
@ QQ : T-Perm's optimal HTM length is 11, not 14.

2-F-move optimal Tperm is 14.

Jaycee · Dec 10, 2011

Ah, thanks. I wasn't sure if I should post even though I thought I was correct because, well, I'm a nub xP

Kirjava · Dec 10, 2011

r' F2 r F' r U r2 F2 r

Rpotts · Dec 11, 2011

I prefer (y2) R' U2 R B' R B R2' U2 R

executed something like

R' U2 l U' R U (R' l') U2 R

just realized that it's the same alg.

It solves this OLLCP - diagonal good fish

same amount of moves as the common F R U' R' U' R U R' F' OLL, but I can't do it near as fast.

oll+phase+sync · Dec 12, 2011

Kirjava said:
r' F2 r F' r U r2 F2 r

Do you use the invers as CLL

Jaycee said:
@ QQ : T-Perm's optimal HTM length is 11, not 14.

R2U'R2 uR2 y R2UR2u'R2 = just 10-move-T ( 5 faces I think)

Rpotts · Dec 12, 2011

Yea it looks like he's counting the AUF that alg requires, optimal is 10 not counting AUF, but from the common angle with both blocks solved optimal is 11.

qqwref · Dec 12, 2011

Indeed. And if it wasn't clear, my optimal HTM/QTM counts were all disregarding any AUF turns.

Kirjava · Dec 15, 2011

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

Cubenovice · Dec 15, 2011

F2 U D R2 U D B2 D2 my favorite HTA alg

StachuK1992 · Dec 15, 2011

Kirjava said:
R2 U2 r' F' r U2 R' U R'

Was that intended for multislotting or LL? :S

Athefre · Dec 15, 2011

StachuK1992 said:
Was that intended for multislotting or LL? :S

Well, U'L'URUM' would be better if it was multislotting.

Kirjava · Dec 15, 2011

StachuK1992 said:
Was that intended for multislotting or LL? :S

that would be a terrible multislotting alg

bobthegiraffemonkey · Jan 3, 2012

Didn't find these in the wiki, probably good for bigcubes, I'll switch to one of them. May also be other slight variations which are good.
R U R' F' R U R' U R U2' R' F R U' R2' U' R U' R' U2 R
R' U2 R U R' U R2 U R' F' R U2' R' U' R U' R' F R U' R'

Edit:
F R U' R2' U' R U' R' U2 R2 U R' F' R U R' U R U2' R'
F R U' R2' U' R U' R' U2 R2 U R' F' U' R' U' R U' R' U2 R

CUB3R01 · Jan 3, 2012

bobthegiraffemonkey said:
Didn't find these in the wiki, probably good for bigcubes, I'll switch to one of them. May also be other slight variations which are good.
R U R' F' R U R' U R U2' R' F R U' R2' U' R U' R' U2 R
R' U2 R U R' U R2 U R' F' R U2' R' U' R U' R' F R U' R'

I'm in love with the second alg! Thanks for sharing!

A Collection of Algorithms

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