Random Cubing Discussion

My guess is any permutation with at least 2 edges oriented. <R,U,D> covers any PLL case and any OCLL case, and F (RUD) F' can orient either 2 or 0 edges, but not 4. It might depend on whether you allow cube rotations or AUF before executing the alg. Being able to choose which face is F would matter for orienting edges, if not for other stuff too. And maybe having all the RUD moves fall between the F and the F' limits what can be done in a way I haven't thought of. Someone who knows puzzle theory confirm pls.

Cube rotations would be allowed.
 
When can a 1LLL case be solvable by F <R,U,D> F'?
Should be anything with at least two oriented edges.

Random 1LLL scramble: U2 F2 U F2 L2 U' L2 F2 U' F2 R' F D F D' F2 R
Solution: (y U') F (U R U' R U R D R' U' R D' R) F'

Another scramble: B' U2 B U2 F2 R2 B' R2 F' U2 R B U' B U2 B' R' F'
Solution: (y2 U') F (D' R U R' D2 R' U R U D' R U' R2 U' R U) F'

Another: F2 L2 R2 B' D2 B' D2 F2 R2 B' F' L' F2 U2 F' L' B' U', nope

Another: B2 L2 D2 B2 U' F2 D' F2 D F2 U' R' B L' F2 U2 L B' R'
Solution: (y' U) F (U' R2 U2 R U2 R' D R' U2 R D' R U' R U R2) F'

Some weird ZBLL: R2 U' R2 D R2 U' R2 U R2 U R' U R D' R' U' R'
Solution: (U) F (U2 R' U R2 U' R2 U' R2 U2 R' D R' U2 R U2 D') F'
 
Why is AUF not cheating, especially after you were asked about cube rotations and AUF and only allowed cube rotations?
In this case I figured it'd be safe to interpret the question as "is there an alg of this type for this LL position" - so AUF and y rotations are OK because that's the kind of stuff you'd do in a solve to set up your algorithm of choice anyway.
 
In this case I figured it'd be safe to interpret the question as "is there an alg of this type for this LL position" - so AUF and y rotations are OK because that's the kind of stuff you'd do in a solve to set up your algorithm of choice anyway.
Yes this was what I was meaning to say.

Has anyone found out what are the conditions needed for a LL case to be solvable with F <R,U,D> F', with cube rotations, 'pre-alg-AUF' and 'post-alg-AUF' allowed?

EDIT: nvm I read qqwref's earlier post and it said the condition.
 
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1
Mattia Furlan

Italy
2:49.91 3:04.63 2:53.80 2:56.11 2:49.91
2
Bence Barát

Hungary
2:49.97 2:53.88 3:04.72 2:56.19 2:49.97
lel their average is very close, their best single is very close, Bence's 3rd and Mattia's 2nd solve are very close and Bence's 2nd solve and Mattia's 3rd solve are very close :P .
 
The fastest 3x3x3 times that have been gotten by the same person more than once:
Feliks with two 5.66s
and then Feliks with two 6.18s
and then Feliks with three 6.31s
and then Feliks with two 6.53s
and then Feliks with two 6.56s
and then Feliks with three 6.65s
and then Feliks with two 6.69s
and then Feliks with three 6.75s
and then Feliks with two 6.77s
...and then Alexander Lau with two 6.83s :p
 
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