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OLL 55 (the case with three bars) with diag CP for 4×4×4: z' U r' U2 r U' L2 U r' U2 r U' z

Essentially just the standard alg F U' R2 D R' U2 R D' R2 U F' modified to be 3-gen because those D moves are annoying on big cubes. You could use this on 6×6×6 too, but I don't know whether it's better than the standard alg (or just doing another OLL(CP) alg altogether, or doing fruruf into pi 2GLL).
 Twizzle link 
3r' f U2 f' 3r U2 3r' f U2 f' 3r

3r' f U2 f' 3r U2 3r' f U2 f' 3r

Regripless lol. Same alg as the one I posted before, but from a different angle.

Also I've seen r' F2 r2 U2 r' F2 r U2 r2 F2 r' floating around but I'm not exactly a fan of that one.
 
now i understand where is permutation of corner on megaminx come from.
this only works on edge that is already oriented, and with 2 or 4 corners.
yesterday i tried to rotate the cube and permute 2 and 4 corners using D moves,
oh my god, the corners are oriented and the bottom layer doesn't messed up.
this is why learning 3x3 first is really important if you want to solve another puzzle like megaminx, 2x2, and big cubes, and skewb.
 
now i understand where is permutation of corner on megaminx come from.
this only works on edge that is already oriented, and with 2 or 4 corners.
yesterday i tried to rotate the cube and permute 2 and 4 corners using D moves,
oh my god, the corners are oriented and the bottom layer doesn't messed up.
this is why learning 3x3 first is really important if you want to solve another puzzle like megaminx, 2x2, and big cubes, and skewb.
Yes I agree, 3x3 is quite fundamental to all kinds of twisty puzzle solving and hyperspeedcubing!
 
10 move T-Perm, which would probably be good to know for FMC
 Twizzle link 
 Setup 
B2 D L2 U' L2 B2 D' R2 U R2
 Moves 
(R2 U' R2') D B2 L2 U L2 D' B2
And a more optimised version for 3x3 that isn't fewest or moves or a challenge
 Twizzle link 
 Setup 
B2 D L2 U' L2 B2 D' R2 U R2
 Moves 
(R2 U' R2') D f2 (R2 D R2') U' f2
 
i dont know if this VLS still worth it or not, since there is already ZB method
i found this at the half of Gc perm where the alg begins with R2 F2 .....

 Twizzle link 
 Setup 
R2' F' R U R U' R' F R
 Moves 
R' F' R U R' U' R' F R2
It's also a useful WVCP. The all oriented case is easy to recognise, so I know 4 of them. Instead of (U') L U2 R' U' R U2 L' you could use this.
 
Super cube on big cubes and 180º center alg

 Twizzle link 
 Setup 
U2' F2' D R2' B2' D R2' F2' U2' B2' L' R' F' D' B2' F2' D R2' F2' U' Fw2' Rw2' F2' D2' R2' Bw2' Lw2' U Bw2' D2' Rw2' Dw2' Bw2' Rw2' Uw2' B Rw2' B2' Rw2' Fw2' L2' Uw2' L2' B R L U R2' Rw Lw D U Rw Lw F B Rw Lw Bw Fw Dw Uw Fw Bw
 Moves 
z R (U D) R2 (U' D') R (U D) R2 (U' D') z'


execution:
 
if you have difficulty for Nb Perm, this is the alg :

 Twizzle link 
 Setup 
R' U' F' (R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R') F U R
 Moves 
R' U' F' (R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R') F U R


R' U' F' (Na perm) F U R
A 27 move Alg is never the solution

Just practice the standard alg. How I group it:

(R' U R U') R' (F' U' F) (R U R') (F R' F' R) U' R
 
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