# The FMC thread

#### cuBerBruce

##### Member
Looking back on the solution, [B' U' D B D' F D B' D' U B] is interesting, 5 moves setup + F + inverse 5 moves.
I note that all except for 2 of the 4-flip OLL cases can be solved optimally (face-turn metric) by that type of alg: 5-move setup, 1 turn, 5-move undo setup. For example, (R B2 R2 U2 R) B (R' U2 R2 B2 R'). The all corners oriented case is 12f*, so it is obviously one of the 2 exceptions. The other exception is OLL 19 in the Wiki.

#### mrCage

##### Member
I note that all except for 2 of the 4-flip OLL cases can be solved optimally (face-turn metric) by that type of alg: 5-move setup, 1 turn, 5-move undo setup. For example, (R B2 R2 U2 R) B (R' U2 R2 B2 R'). The all corners oriented case is 12f*, so it is obviously one of the 2 exceptions. The other exception is OLL 19 in the Wiki.

Could you post a list of your (conjugate) sequences??

Per

#### cuBerBruce

##### Member
Could you post a list of your (conjugate) sequences??

Per

Here's one example alg for each relevant OLL case. (Invert the middle move to set up the case.)

(R B2 R2 U2 R) B (R' U2 R2 B2 R')
(L' B2 L2 U2 L') B' (L U2 L2 B2 L)
(R U' R2 D' L) F' (L' D R2 U R')
(R U2 L' B L) U2 (L'B' L U2 R')
(R U2 R' F' L') U2 (L F R U2 R')
(L' F U2 B' R) U2 (R' B U2 F' L)

(found using JACube)

I note there are 5 other 11f* OLLs (besides the ones that flip 4 edges), of which 2 can also be solved with this type of conjugation.
(R' F2 R2 U2 R') F2 (R U2 R2 F2 R)
(R' U F2 D' F) U2 (F' D F2 U' R)

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#### okayama

##### Member
Wow! I have never known that. Quite interesting! Hmm.

#### Cubenovice

##### Forever Slow
Why I suck at FMC...

weekly 47 U L2 D B2 L2 B2 D' L' D L2 U2 B' U L R D' R'

Do NOT open if you still need to compete in weekly 47
L' D2 B' D2 B2 D' 2x2x2 6 - 6
B' U L U pseudo 2x2x3 4 - 10 (initially B' U L U' B2 to extend original 2x2x2 but this change gave much better cont.)
L' B' pseudo F2L- 1 corner 2 -12
D' L' D L' D' L2 D A-Sune to place edges 7 - 19
U2 undo the pseudo part to leave 5 corners 1 - 20

20 moves and 5 corners left. Time for some simple comm. work you say?
I just do not get them!!!!!! I just stare at these stupid pieces of post-it floating around my cube and get nowhere...

For those of you that have already done the weekly 47, can you please post your continuation of this solve? Without showing my skeleton please so we do not spoil the weekly as long as it is still running.
I was so proud of my pseudo block and 20 move skeleton and then this...

I am already studing comm. on the sites of Heise and Roux but I feel such a noob as it just will not sink in.

#### okayama

##### Member
Why I suck at FMC...

weekly 47 U L2 D B2 L2 B2 D' L' D L2 U2 B' U L R D' R'

Do NOT open if you still need to compete in weekly 47
L' D2 B' D2 B2 D' 2x2x2 6 - 6
B' U L U pseudo 2x2x3 4 - 10 (initially B' U L U' B2 to extend original 2x2x2 but this change gave much better cont.)
L' B' pseudo F2L- 1 corner 2 -12
D' L' D L' D' L2 D A-Sune to place edges 7 - 19
U2 undo the pseudo part to leave 5 corners 1 - 20

20 moves and 5 corners left. Time for some simple comm. work you say?
I just do not get them!!!!!! I just stare at these stupid pieces of post-it floating around my cube and get nowhere...

For those of you that have already done the weekly 47, can you please post your continuation of this solve? Without showing my skeleton please so we do not spoil the weekly as long as it is still running.
I was so proud of my pseudo block and 20 move skeleton and then this...

I am already studing comm. on the sites of Heise and Roux but I feel such a noob as it just will not sink in.

Using your start (F2L minus 1 slot), I found some alternative skeletons. Choose what you like and complete it by yourself.
Scramble: U L2 D B2 L2 B2 D' L' D L2 U2 B' U L R D' R'
Your start: L' D2 B' D2 B2 D' / B' U L U / L' B'

(1) All but 5 corners: B' L' B L2 B' L' B / U2 (19 moves)
Insert two corner 3-cycles.

(2) All but 2 corners/2 edges: B' L' B L B' L' B L2 B' L2 * B / U2 (23 moves)
Insert a 2c2e swap alg. Quick example: Insert J-perm at *.

(3) All but 3 c/e pairs: B' L' B L B' L' B L2 B' L B / U2 (23 moves)
Insert a pair 3-cycle.

(4) All but 3 corners: B' L F B L' B' L F' L B L2 B' L2 B / U2 (26 moves)
(Found with NISS) Insert a corner 3-cycle.

(5) All but 3 corners: L2 D L D' L' D L2 D' L' D L D' / U2 (25 moves)
Insert a corner 3-cycle.

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#### PalashD

##### Member
Using your start (F2L minus 1 slot), I found some alternative skeletons. Choose what you like and complete it by yourself.
Scramble: U L2 D B2 L2 B2 D' L' D L2 U2 B' U L R D' R'
Your start: L' D2 B' D2 B2 D' / B' U L U / L' B'

(1) All but 5 corners: B' L' B L2 B' L' B / U2 (19 moves)
Insert two corner 3-cycles.

(2) All but 2 corners/2 edges: B' L' B L B' L' B L2 B' L2 * B / U2 (23 moves)
Insert a 2c2e swap alg. Quick example: Insert J-perm at *.

(3) All but 3 c/e pairs: B' L' B L B' L' B L2 B' L B / U2 (23 moves)
Insert a pair 3-cycle.

(4) All but 3 corners: B' L F B L' B' L F' L B L2 B' L2 B / U2 (26 moves)
(Found with NISS) Insert a corner 3-cycle.

(5) All but 3 corners: L2 D L D' L' D L2 D' L' D L D' / U2 (25 moves)
Insert a corner 3-cycle.

How much time did you take to find all these?

#### okayama

##### Member
How much time did you take to find all these?

donno... but I found (1) very quickly (5--10 min?), (2) and (3) at the same time, and (4).
After posting them, I looked back, and quickly found (5) (5 min or so), and added it.

#### Cubenovice

##### Forever Slow
Using your start (F2L minus 1 slot), I found some alternative skeletons. Choose what you like and complete it by yourself.

Thank you for the extensive feedback.
Given my commutator blindness that would have to be option 2 with 2c 2e left...
I actually know two different J-perms and mirrors so I could indeed work toward maximum cancellations.
Will try this tonight.

Who's willing to show me how to get the final 5 corners of my solution done?
I would love to learn how to recognize the commutators.

#### okayama

##### Member
Hi folks,

For advanced FMC users here is a nice example of my NISS-method for FMC (Normal-Inverse-Scramble-Switch):
Scramble: (fmc.mustcube.net #265) F2 B' R' B D B F' R B F L' D2 U2 B2 D U' B' F D2 L' F2 B' R2 B2 R L' F2 U' F' L

my solve: D' B' U B2 D' L F2 L' D R U2 R U2 B' R' U2 RU' R B' R' F2 U' L B' (25)
explanation:
inverse scramble: nice start: B L' U F2 (4)
apply on normal sramble: [pre-moves F2 U' L B'] nice continuation: D' B' U B2 R2
apply on inverse scramble: [pre-moves R2 B2 U' B D]: B L' U F2 (4+[5])
then continuation on inverse scramble was easy:
F2L: R B R' U R' U2 R B (12+[5])
LL: U2 R' U2 R' D' L F2 L' D R2 (22+[5])
pre-move correction: R2 B2 U' B D, 2 moves cancel (25)
Took my 90 minutes including finding a 29-move 1-hour solution

NB. I should reduce executing time otherwise I will get an DNF next WC as well

Gus

That is a fantastic solution! I have been experimenting with that method as well in recent FMC scrambles, but I don't think I have yet used it in my final solutions. I only got 30 moves for that scramble with a more classical method, but I am happy that I found an optimal 2x2x3-block (which I although modified a bit to get an easier continuation).

I found 8-move 2x2x3 block building in the inverse scramble:
B L' U F2 B2 R2 B' D
but couldn't find a good continuation.

I tried another start, and found a Sub 30 solution.

Scramble: F2 B' R' B D B F' R B F L' D2 U2 B2 D U' B' F D2 L' F2 B' R2 B2 R L' F2 U' F' L
Solution: B2 D F2 D' B2 D F2 D2 F R F B' D2 R D' R' D B' D2 B D L U' L2 U D2 L2 U' B' (29 HTM)

NISS solve.

(Normal)
Pre-scramble: B'

Pseudo 2x2x2 block: D' F R F

(Inverse)
Pre-scramble: F' R' F' D

2x2x2 block: B U
More 2x2x1 block: L2 D2 U'
More 2x2x1 block: L2 U L'

(Normal)
Pre-scramble: L U' L2 U D2 L2 U' B'

F2L minus 1 slot: D' F R F B'
Orient edges: D2 R D' R'
All but 3 corners: D B' D2 B D
Correction: L U' L2 U D2 L2 U' B'

Insert at the beginning: B2 D F2 D' B2 D F2 D'

Hard scramble for me, but Guus achieved 29-move solution in 1-hour and 25-move later. Awesome.

#### irontwig

##### Member
Who's willing to show me how to get the final 5 corners of my solution done?
I would love to learn how to recognize the commutators.

http://solvethecube.110mb.com/commutators.html Look at "The basic 8 move corner three-cycles"

You pretty much have to use stickers for 5 corners. Keep in mind you have to cycle three "neighbor corners". So if you have the corner cycle 12345 to leave three corners you need to do 123, 234, 345, 451 or 512 if that makes any sense.

#### Cubenovice

##### Forever Slow
Thank you Irontwig, how could I forget Joels site and his HQ tutorials!

I know how the sticker thingy works, my cube actuall still has the 12345 stickers stickers on it but I just fail at recognising comms...

Hope I can find some time to go through Joels page soon!

#### Inf3rn0

##### Member
what does FMC stands for:confused:

[wiki]Fewest Moves[/wiki] Challenge

#### JackJ

##### Member
Hello everyone! I just completed my first FMC solution! While I know it's rather bad, I'd still like to share and get pointers.

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

U2 F B' L B U R'
D2 L' D L
z2 F' U F U2 F U' F'
B' U2 B U B' U' B
R U R' U R U R'
U2 R U R' U R d' R U' R' F'
R2 F2 U R2 D' R2 D B2 U' F2 B2 R2 U'

57 moves. :/

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#### cubefan4848

##### Member
Hello everyone! I just completed my first FMC solution! While I know it's rather bad, I'd still like to share and get pointers.

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

U2 F B' L B U R'
D2 L' D L
z2 F' U F U2 F U' F'
B' U2 B U B' U' B
R U R' U R U R'
U2 R U R' U R d' R U' R' F'
R2 F2 U R2 D' R2 D B2 U' F2 B2 R2 U'

57 moves. :/

The first tip is that most of the time when doing FMC you start with a 2x2x2 block then extend it to a 2x2x3 block. There is lots of ways to finish after that but I am not that good so I just finish the last cross do the last 2 F2L pieces then OLL and PLL

#### Yes We Can!

##### Member
Please help me to find an insertion for my last 3 corners D:

Scramble: D2 R2 U2 R2 B2 U2 B' D2 B L2 F2 L F2 D' B R U' L' B R F (21)
Solution: D L' F' U' F' L F U2 R D2 U' L2 U' R' F2 R B' U' B U2 L U2 F' L B2 L' F L B2 L2 U2 (31)
D L' F' U' F' L F U2 R D2 (10/10) 2x2x3
U' L2 U' R' F2 R (6/16) Triple x-Cross
B' U' B U2 L U2 [L'] (6/22) F2L + OLL aka leave 3 corners
[L] F' L B2 L' F L B2 L2 U2 (9/31) A-Perm aka L3C commutator

Same with my 28 weekly-48 solution (I won't post it here, until the round has ended), I just can't find good insertions.

#### Ranzha

##### Friendly, Neighbourhoodly
Using the logo as a scramble.

Corners: R2 U2 L2 F2 L2 F2 U2 R2 F2 L2 F2 L2 (after screwing around for ten minutes) [12]
Edges: U D' L2 U' D F2. [6/18]

Easy. =D

EDIT: Optimal solution is F2 R2 D' U' L2 B2 L2 B2 D U F2 R2, at 12 moves. Wow. Didn't know it was that simple.

#### Cubenovice

##### Forever Slow
RE: my weekly 47 solve (attempt)
After studing Joel's tutorial I am finally getting some succeses on commutators!

Now checking my original solution and already managed to get cycle "451" in... No cancellations but happy enough I even recognized it. This is probably going to be my longest FMC but I will keep on working on this until I have found several possible insertions.

I suspect it will be a long time before I can actually apply this in a one-hour setting...

#### irontwig

##### Member
My first official FMC solution at the Swedish Cubedays:

Scramble: D2 B L2 F2 L2 U2 F L2 B D2 U' F L' R' U' B' L R2 F' R' D
Solution: y' R2 F L' D' B U F L F L2 D2 F' D F D F' D F' D' F D L R' B' D B R L' F2 D' L (31)

y' R2 F L' D' B U [2x2x2]
F L F L2 [Pseudo-2x2x3]
D2 F' D F D2 [Pseudo-F2L]
D' F' D F' D' F2 D [CLL]
D' F' D L R' B' D B R L' [ELL]
F2 D' L [AUF and undo pseudoness]

Club 31 :3

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