--- In [email protected], "Stefan Pochmann"
<[EMAIL PROTECTED]> wrote:
>
> For a while I wanted to know how many sune variant applications I need 
> to solve OLL.
> 
> Let's say standard sune is (R U R' U R U2 R'). You can invert it, you 
> can mirror it, and you can do an M' setup move which simply turns the 
> first R into r and the last R' into r'. So you have 8 sune variants of 
> 7 moves each. Besides this large number of easy variants, I also like 
> the sune for being a real simple algorithm (for beginners and for 
> hands :-).
> 
> So I finally wrote a program and got this result:
> 
> 1 case needs 0 sunes.
> 6 cases need 1 sunes.
> 42 cases need 2 sunes.
> 9 cases need 3 sunes.
> Average number of sunes needed: 2.01724
> 
> Next idea would be to find out how many sunes are needed (max/avg) to 
> solve the whole LL after corners have been permuted (because sunes 
> don't change the relative corner permutation).
> 
> Cheers!
> Stefan
>

Interesting.
Yes, very simple sequences like the Sune, can be powerful. Mixing and
optimizing 2 simple sequences give elegant solutions to complex
last-layer cases, often QTM-optimal (that's why I often said I would
choose this approach if I wanted to become a ZB-boy).
Lars Petrus computed solutions for all last-layer cases with oriented
edges, based on 2 simple sequences. He may have the answer to your
question.

Gilles.








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