--- In [email protected], "Craig Bouchard" 
<[EMAIL PROTECTED]> wrote:
>
> I think if you want a
> 4LLL(every time) or less with skips...then you need to learn: 3 for
> (as you call it) the cross on top, 4 for permuting corners...7 for
> Orienting corners and 4 for Permuting Edges...so...3+4+7+4...18
> algorithms for a guaranteed 4LLL...

Be careful about the word "need" :-)

Besides dropping the number for PCLL from 4 down to 2, I've taken this 
a bit further now. You can do guaranteed 2-step PLL with a set of only 
5 algs. I'll use Jessica's names:
http://www.ws.binghamton.edu/fridrich/Mike/permute.html

(J1) = Jessica's J
(J2) = L<->R mirror of (J1)
(R1) = Jessica's R
(R2) = L<->R mirror of (R1)

You get all algs except H like this:

U - (J1) y2 (J2)
A - (J1) y (J2)
Z - (J1) y' (R2)
H - ???
E - (R1) y (J2)
T - (J1) U' (J2)
V - (J1) y (R1) U'
F - (J1) y U (R1)
R - (R1)
J - (J1)
Y - (J1) (J2) U
G1- (R1) (J2) U' d'
G2- (J1) (R2) U2
G3- (J2) (R1) d2
G4- (R2) (J1) U' d'
N - (J1) y2 (J1)

So those four algs plus H guarantees 2-step PLL. Is this optimal? I 
wouldn't be surprised if it were possible with only 4 algs.

Cheers!
Stefan






 
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