2-GEN OLL and PLL'S

MAGIK

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i really need 2-gen algs(not a need more like a want lol)....if you know any AT ALL you can post them here please?! thx :)
 
Hm, it's impossible to have a 2-Gen corner-cycle, if I remember correctly. But there's

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

for U Perm, but you probably already know that
 
U perm cw
R2 U R U R' U' R' U' R' U R'
R' U R' U' R' U' R' U R U R2

U perm ccw
R2 U' R' U' R U R U R U' R
R U' R U R U R U' R' U' R2

Z perm
U R' U' R U' R U R U' R' U R U R2 U' R' U

H perm
R2 U2 R U2 R2 U2 R2 U2 R U2 R2
R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
U2 R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U


sune
R U R' U R U2 R'

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

chameleon/headlights
R U R' U R U R' U2 R U R' U2 R U R'

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

double superman
R U2 R' U' R U R' U' R U' R'
R U R' U R U' R' U R U'2 R'

bowtie/figure-8
R U R' U R U' R' U R U' R' U R U2 R'
R U2 R' U' R U R' U' R U R' U' R U' R'

wheel/dead guy
R U2 R'2 U' R2 U' R'2 U2 R
R' U2 R2 U R'2 U R2 U2 R'
 
Last edited:
U perm cw
R2 U R U R' U' R' U' R' U R'
R' U R' U' R' U' R' U R U R2

U perm ccw
R2 U' R' U' R U R U R U' R
R U' R U R U R U' R' U' R2

Z perm
U R' U' R U' R U R U' R' U R U R2 U' R' U

H perm
R2 U2 R U2 R2 U2 R2 U2 R U2 R2
R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
U2 R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U

2-gen is not only RU is is MU as well.

Ucw: M2 U' M' U2 M U' M2

Uccw: M2 U M' U2 M U M2

Z: M2 U M2 U M U2 M2 U2 M U2

H: M2 U M2 U2 M2 U M2

Maybe that was not what you were looking for...but you asked for 2-gen...
 
Emerson correctly points out that <M,U> is also 2-gen. Here are the 2-gen OLLs which can be done in <M,U>:

adjacent edge flip: M' U M U2 M' U M
opposite edge flip: M' U M' U M' U2 M U M U M U2 [sorry, don't know a faster way]
4 edge flip: M' U2 M U2 M' U M U2 M' U2 M

And <r,U> is also 2-gen so technically r U' r2 U r2 U r2 U' r and r' U r2 U' r2 U' r2 U r' are also 2-gen OLL algs. I'm pretty sure all OLLs can be done in <r,U>.
 
On the megaminx you can permute corners with 2-gen algs. For example (L2 U2 L'2 U)^4 performs a CW 3-cycle of corners.
 
<F,R>:confused: are you sure about that one?
And where can I find research/proof about the other ones?
In case you thought I meant them to be able to solve all OLL, that's not the case. I mentioned those as more 2-gens for OLL and PLL, with <F,R> for exactly what Mitchell wrote.
 
U perm cw
R2 U R U R' U' R' U' R' U R'
R' U R' U' R' U' R' U R U R2

U perm ccw
R2 U' R' U' R U R U R U' R
R U' R U R U R U' R' U' R2

Z perm
U R' U' R U' R U R U' R' U R U R2 U' R' U

H perm
R2 U2 R U2 R2 U2 R2 U2 R U2 R2
R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
U2 R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U

2-gen is not only RU is is MU as well.

Ucw: M2 U' M' U2 M U' M2

Uccw: M2 U M' U2 M U M2

Z: M2 U M2 U M U2 M2 U2 M U2

H: M2 U M2 U2 M2 U M2

Maybe that was not what you were looking for...but you asked for 2-gen...

no youre okay thats what i wanted thx....i just want a LL done by 2-gen
 
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