1. Right Sune Left Sune

R U R' U R U2 R' L' U' L U' L' U2 L

Im sure there is something shorter, but sune combos are very simple, also try Right antisune left antisune.

2. Originally Posted by evogler
What's the shortest alg that only twists corners? I don't care which corners or which directions, I just want to know the quickest way to make some twists happen. I currently use the double-sexy commutator, or sune + U perm. I'm hoping there's something shorter. Again, I'm open to any corners in any direction.
This is for the PO "method", btw.
Thanks
Edit: Actually, it's okay to mess with edge orientation, too. So, the shortest alg that affects corner orientation but doesn't change any permutation.
these are the pure co sunes
1.R' U R2 U R' U R U2 R U2 R U R' U R2 U
2.R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R
3. R U R' U R U' R' U R2 U R U R U' R' U' R' U R'.
4.R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' U
5.R U' R' U2 R' U2 R U R' U R U2 R U2 R' U'
6.(L' U' L U' L' U2 L) (R U R' U R U2 R')
7.(R U2 R' U' R U' R') (L' U2 L U L' U L)

there are more twists here.

3. Thanks, both of you. Those are just what I was looking for. Now my "permute the whole cube then orient" plan is almost complete. Muhahahah...

Just out of curiosity, does anyone have any algs they like that orient some corners and some edges simultaneously?

4. Courtesy of Rawrbert : R U R' U F2 L F L' F U2

Shorter Algs from CE:
[22:12] <Rawrbert> U2 L' U' L2 F' L' F2 U' F' (9f*)
[22:12] <Rawrbert> R' U' R2 B' R' B2 U' B' U2 (9f*)
[22:12] <Rawrbert> R' F2 D' F' D2 R' D' R2 F' (9f*)

5. i want to know what algos are used in 4LLL when top layer is completed,centers are oriented and only edges remain = )
i know anti-clockwork and clockwork algos,but not the otehr ones.
if anyone culd help = )
(PS:as i said,i'm using CFOP but with f2l-4LLL,just keep that in mind)

6. Originally Posted by mchedlo213
i want to know what algos are used in 4LLL when top layer is completed,centers are oriented and only edges remain = )
i know anti-clockwork and clockwork algos,but not the otehr ones.
if anyone culd help = )
(PS:as i said,i'm using CFOP but with f2l-4LLL,just keep that in mind)

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

7. R' F2 R U2 R U2 R' F2 R U2 R'
Rw U R' U' Rw' F R F'
F' Rw U R' U' Rw' F R
R U2 R' U' R U R' U' R U' R'
R U2 R2' U' R2 U' R2' U2 R
and for which case is each one ?

8. Originally Posted by mchedlo213
Originally Posted by ottozing
R' F2 R U2 R U2 R' F2 R U2 R'
Rw U R' U' Rw' F R F'
F' Rw U R' U' Rw' F R
R U2 R' U' R U R' U' R U' R'
R U2 R2' U' R2 U' R2' U2 Rand for which case is each one ?
Case Images:

R' F2 R U2 R U2 R' F2 R U2 R'

Rw U R' U' Rw' F R F'

F' Rw U R' U' Rw' F R

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

R U2 R2' U' R2 U' R2' U2 R
Also see Wiki: OCLL

9. no,what i meant was the cases that aren't showed here,for example,something like this :
except that last layer (blue here) is completed,but edges are in position,where not a single is inserted,that means i can't do any clock rotation like algo... also,they're not opposite paired....
so... if anyone can helpm,i'd appreciate = )

10. Originally Posted by mchedlo213
no,what i meant was the cases that aren't showed here,for example,something like this :
Image:
except that last layer (blue here) is completed,but edges are in position,where not a single is inserted,that means i can't do any clock rotation like algo... also,they're not opposite paired....
so... if anyone can helpm,i'd appreciate = )
From that angle turn the cube 180 degrees and do this: F' R D2 R' F U' F' R D2 R' F U
I take it you're wanting to solve the corners orientation and permution at the same time, but without messing up the edges. Unfortunatly that is a rather complicated system called Last Four Corners (L4C), which involves a total of 84 algs.
The much more prefferd method of solving this sort of thing is just to orient the corners (OCLL or 2-look OLL) (which will mess up the edge and corner permutation) then fix the corners and edges (seperately in 2-look PLL or at once with full PLL).
The other popular way of doing this is to solve the corner orientation and permutation at once (COLL - 42 algs), then fix the edges after (EPLL - 4 algs)