FMC riddle: second layer edge

[Stefan]

Scramble 1: F' U' F U R U R' U
Scramble 2: F' U' F U R U R' U'

Solve F2L in seven turns (htm). There are several interesting different ways, how many can you find? No cheating with computer solvers!

Hints (first move of each solution):

Spoiler

Scramble 1:
F ...
F' ...
B ...
B ...
B' ...
B' ...

Scramble 2:
R' ...
F ...
L ...
B ...

Just so you know when you're done:
6 solutions for F' U' F U R U R' U
4 solutions for F' U' F U R U R' U'

Also:
3 solutions for F' U' F U R U R' U2
7 solutions for F' U' F U R U R' (including one or two you probably didn't know yet)

Solutions (check these out when you're done or give up, many are quite neat):

Spoiler

Scramble F' U' F U R U R' U:
F U2 L F2 L' U2 F'
F' U2 L' U2 L U2 F
B U B2 D' R2 D B
B L2 D F2 D' L2 B'
B' R2 U' R2 U R2 B
B' D' R2 D B2 U' B'

Scramble F' U' F U R U R' U':
R' U2 B' R B U2 R
F U2 L F L' U2 F'
L F2 U F U' F2 L'
B L2 D F D' L2 B'

Scramble F' U' F U R U R' U2:
R U2 R' U2 F' U' F
R U2 B U' B' U2 R'
L F2 U F' U' F2 L'

Scramble F' U' F U R U R':
R U R' U' F' U' F
R U' R' U2 F' U2 F
R U' R' U' F' U F
R U' R' F R' F' R
F R' F' R F' U' F
F' U2 L' U' L U2 F
B L2 D F' D' L2 B'

 

[Sa967St]

got one:

Spoiler

U' R U' R' U' F' U x

 

[jms_gears1]

Spoiler

y R' u' R2 u R2 U' R'

 

[Stefan]

(Note: I added a second riddle and hints)

Ah yes Sarah, the cheating one . I thought about that but didn't include it in my spoiler because I wasn't sure it's the only one and I wanted either all or none.

 

[macky]

stuck at two

Spoiler

yR'D'F2DR2U'R'
yR'F2U'F2UF2R

 

[AustinReed]

Spoiler

F' U2 L' U2 L U2 F

 

[Sa967St]

(Note: I added a second riddle and hints)

Ah yes Sarah, the cheating one . I thought about that but didn't include it in my spoiler because I wasn't sure it's the only one and I wanted either all or none.

Well, it's an F2L somewhere.
I didn't even realize it was the inverse at first.

 

[Julian]

First one:

Spoiler

B' R2 U' R2 U R2 B

Let me try and find more.

 

[jms_gears1]

Second one:

Spoiler

R'U2B'RBU2R
LF2UFU'F2L'

 

[mr. giggums]

Spoiler

Scramble 1:
F U2 L F2 L' U2 F'
F' U2 L' U2 L U2 F
B L2 D F2 D' L2 B'
B U B2 D' R2 D B
B' D' R2 D B2 U' B'
B' R2 U' R2 U R2 B

Scramble 2:
R' U2 B' R B U2 R
F U2 L F L' U2 F'
L F2 U F U' F2 L'
B L2 D F D' L2 B'

 

[Stefan]

mr. giggums: so close...

Btw, I of course did use a computer solver, I was looking for something else and was surprised how many different solutions there were so I made this thread. Makes a nice riddle and training, and maybe it can be useful for FMC.

 

[DavidWoner]

Grrrrrrr can't find the last one for scramble 1. Got all the rest though.

Edit: GOT IT! So weird how that last one works. anyway what do I win?

Spoiler

Scramble 1: F' U' F U R U R' U

U' R U' R' U' F' U
F' U2 L' U2 L U2 F
B' D' R2 D B2 U' B'
F U2 L F2 L' U2 F'
B' R2 U' R2 U R2 B
B L2 D F2 D' L2 B'
B U B2 D' R2 D B
Scramble 2: F' U' F U R U R' U'

U R U' R' U' F' U
R' U2 B' R B U2 R
F U2 L F L' U2 F'
L F2 U F U' F2 L'
B L2 D F D' L2 B'

Of course this one is the best F2L for FMC, but I know that it's not what you're going for:

Spoiler

For #1: U' R
For #2: U R

 

[mrCage]

Cool riddle. but not useful for normal fmc. Since the solution is not allowed to be related to the scramble ... Backwards solution (wrt scramble) is STRICTLY related to the scramble. Oh well

 

[mrCage]

David, your 2-turn solutions only give pseudo f2l. But indeed useful for fmc yes!!

Per

 

[Cubenovice]

Just basing myself on the description (without applying or analyzing the scramble) I propose:

EDIT: I'm stupid...

 

[Stefan]

anyway what do I win?

My appreciation

Hmm, I guess I should've posted the number of solutions outside that spoiler, otherwise people see the starts when just looking for whether they found all solutions.

6 solutions for F' U' F U R U R' U
4 solutions for F' U' F U R U R' U'
3 solutions for F' U' F U R U R' U2
7 solutions for F' U' F U R U R' (including one or two you probably didn't know yet)

So weird how that last one works

Spoiler

Yeah, it's magic. And the inverse of another. That's what I meant with "mr. giggums: so close", cause his missing one is pretty much right next to it.

not useful for normal fmc. Since the solution is not allowed to be related to the scramble

No idea what you're talking about. How is knowing more algs/tricks not useful for fmc, and how is it related to the scramble??

 

[mrCage]

Sorry, i was unclear in my first post. Simply inversing the scramble from last to 2nd move is definitely cheating by all standards. Finding other solutions is indeed interesting. I'd guess most solutions would be known for experienced fridrich solvers??

Per

 

[mr. giggums]

Just finished mine. I didn't look at David's spoiler until after I finished. The one I got stuck on was the B U B2 ...

 

[Stefan]

I'd guess most solutions would be known for experienced fridrich solvers??

Maybe I'm just not experienced enough, but for the scrambles ending in U, U' and U2 I didn't know *any* of the 13 solutions (maybe I should know at least the one jms_gears1 posted and its inverse, cause they're fast). For the one ending without U-turn, I "knew" five of the seven solutions.

 

[Stefan]

I've included the solutions in the [post=657234]first post[/post] now with alg.garron for easy viewing.