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






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