My second day with fmc. I found a semi-easy scramble and got a 47 move solution. Somebody might be able to do something nice with it however.
Scramle: B L' U B2 F R2 D' R' D' F' L2 F2 U R' L' F U2 F2 B' L' D2 R
R2 L U B R’ F R
U’ F’ U F U’ F’ U’ F
L U L’ U L U L’
F’ L F L’
U’ R’ F R U R’ U’ F’
U’ R U2 R’ F R U R’ U’ R’ F’ R2 U2
That was actually a speedsolve. I just took out the rotations and cancelled a few moves.
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.
L' D2 . B' D2 B2 D' 2x2x2 6 - 6
B' U L U pseudo 2x2x3 4 - 10
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
And here are my insertions
. R U R' D' R U' R' D cycle 451 no canc
OR
@ F U B' U' F' U B U' cycle 451 no canc
then
# B' L' F' L B L' F L cycle 123 no canc
=
L' D2 B' D2 B2 D' B' U L U L' B' F U B' U' F' U B U' D' L' D L' D' L2 D U2 B' L' F' L B L' F L
or
L' D2 R U R' D' R U' R' D B' D2 B2 D' B' U L U L' B' D' L' D L' D' L2 D U2 B' L' F' L B L' F L
Giving me a PB of 36 moves
I really need to practice those comm. thingies. I guess I have missed quite a few possible insertions.
Question: do you also look at "wrong" cycles?
My 2nd and 3rd insertion I actually recognized as cycles in the wrong direction where I just noted the inverse of the commutator (that I originally applied twice)...
Now that I did some thinking for myself, :confused: is there somebody willing to show me some better cycles?
Check out the BH site for corners and edges, and see the BH guide in the How To's section for details on how to create the different types of corner comms.
For blockbuilding and EO you could have a look at Lars Petrus' site.
But as you seem to be a ZZer there is perhaps not much new to learn?
Off course in FMC you can go back and forth through your blockbuilding step to try to maneuver pieces into better positions.
I don't think it's necessary to learn full BH for FMC, knowing and recognizing the 8-movers is enough. For edges it's often best to just find a good spot to setup to M' U2 M U2 (or its inverse), which you can also do like L F2 L' R U2 R'. The BH algs I've seen for edges are supercube safe, so they aren't necessarily optimal for 3x3x3. Also they aren't usually optimized for HTM.
To learn more about block building I'd recommend checking optimal solutions with http://laire.fi/jarcs/
knowing and recognizing the 8-movers is enough. For edges it's often best to just find a good spot to setup to M' U2 M U2 (or its inverse), which you can also do like L F2 L' R U2 R'. The BH algs I've seen for edges are supercube safe, so they aren't necessarily optimal for 3x3x3. Also they aren't usually optimized for HTM.
Getting to know and recognize some (all?) 8 movers is my current challenge indeed.
I found Joels tutorial to be very helpfull again (previously learned BLD). It has definately improved my comm spotting after going through (most of it) just once.
However I do find that I still make far too many mistakes; thinking I am starting a comm and then finding halfway through that way to much pieces are being moved about.
I hope to find the time this week to go trough it a few more times untill I fully understand, then back to the Heise and Roux site for some more.
Another thing I am thinking about is going through other peoples solves until the "x corners" left and then try to find insertions by myself.
My apologies for spamming the thread with three posts in a row but since it is a new question I'm not editing it into a new post...
yesterday evening I managed to get to "six corners left" in 10 moves.
I thought that with a little luck I might get a 26 mover out of this.
But on "solving" my first three-cycle I managed to get them into place but 1 of 3 them was twisted?
I had another look at the cycle and it seemed I stickered OK.
So eventually I had to resort to using three cycles to stay within the hour.
1 place 3 corners with 1 twisted
2 place one corner while pulling out the twisted one of 1
3 solve the remaining three
With the extra nasty bonus of cancelling two moves but eventually having to put the 3rd comm in between the cancelling moves because there I could spot an A9...
Leaving me with a 35 HTM solution...
So my question is: Is this "twisted corner although the cycle looks OK" something that can actually occur with 6 corners left or id I just mess up in stickering or execution of the cycle? Probably the latter...
Will have a longer look this evening, gotta go to work now.
Goning to start with the other cycle then.
EDIT: Nevermind...
Went through the cycles on my way to work and indeed both cycles are "open" due to a twisted corner.
You can't always even solve 5 corners with just two commutators, you need to have a pure 5-cycle to do that. If you have two 2-cycles and one twisted corner, you need at least 3 commutators or some other special tricks. Similarly you can only solve 6 corners with two commutators if you have two independently solvable 3-cycles (just two separate 3-cycles might not be enough because there can be orientation dependence between the cycles).
By reading all the FMC related stuff on the forum I already knew about the corners twisted in place being BAD.
But I must plead guilty of being ignorant of the possibility to have twisted corners hidden in two three-cycles.
This is also the reason why I am enjoying FMC so much, there is so much to learn!
And nothing beats learning by experience so this has been a very good solution for me.
Learnings for cases with 3+ corners left:
- properly check the cycles, do they actually "close"?
- multiple cycles give many insertions to explore for cancellations
- you can ignore the orientation of the 3rd piece in an "open" cycle, giving even more possible insertions to explore
- 1 hour is way too short to explore all possibilities
I deliberately did not post the scramble because it is part of the Xmas competition.
But since Irontwig already posted... Here it is.
Spoiler alert!!!! Xmas competition 2010 scramble.
Do NOT open if you want to compete!
My 35 move solution (didn't have time to play around with a different order of cycles)
Xmas 2010 competition scramble 3
Initial start R U B’ F’ R 2x2x2 5 – 5
Then spend some time playing around with some inserted moves to get a better continuation.
Then found U’ R U2 B’ F’ R L B L U all but 6 corners 10 – 10
Leaves three cycles because both 3-cycles have a twisted corner (cycle doesn’t “close”)
U’ R U2 B’ F’ R L B # L U
At # insert U2 B D @ B’ U2 B D’ B’ solves 2 leaves 3rd flipped in place 8 - 18
At @ insert L F L’ B’ L F’ L’ B + solves 1, leaves 3 corners, 8 - 26
At + insert L L2 B’ R’ B L2 B’ R B L’ solved A9 comm 9 - 35
Solution:
U’ R U2 B’ F’ R L B U2 B D L F L’ B’ L F’ L’ B L’ B’ R’ B L2 B’ R B L’ B’ U2 B D’ B’ L U
Total 35 HTM
I can't check for typing errors right now so I hope this works...
I want to get this one below 30 HTM all by myself.
Have some time later this evening and will post my final solution.
Offcourse the Xmas comp will still get the 35 HTM solution
@ Stini: thank you for the great definition of this situation!
"Orientation dependence between cycles"
BTW, I am considering changing my signature to:
I put two commutators in a commutater and still failed to cancel moves...
EDIT: down to 30 HTM
Xmas scramble 3: D' U' L' R' D' L F R B D R' F' L2 U' R U B R2 D' L' D U F2 L R2
U’ R U2 B’ F’ R L B L U all but 6 corners 10 – 10
U’ R U2 # B’ @ + F’ R L B L U
At # insert U B D B' U' B D' B' solves 2, leaves 3rd flipped in place cancel 2 moves 6 - 16
At @ insert B' U' B D' B' U B D solves 1, leaves 3 corners, cancel 1 move 7 - 23
At + insert D2 L U L' D2 L U' L' done, cancel 1 move 7 - 30
Solution:
U' R U' B D B' U' B D' B U' B D' B' U B D' L U L' D2 L U' L' F' R L B L U 30 HTM
F B' R' B' U' L2 F' U' D' L F B2 R' B' F2 D F R2 F B' U B' U' L2 R2
R U L' F2 L F D2 L2 D2 F' D B' F L' U' B2 F2 D F B2 U B F' L B' F U B' F R' L' x y' R' L U2 D (35f/29s)
R U L' F2 L [CO]
F D2 L2 D2 [CP+3E]
F' D B' F L' [2E]
U' B2 F2 D [UL]
F B2 U B F' L B' F [EO]
D R L'.F2 R' L U2 D [EP (Leaving six centres)]
At dot insert R' L U D' B' F R' L x y' (7 moves cancel)
D2 B R D2 L2 R U L2 D' F2 L2 D' F2 L B F' U2 R2 B2 D' L' F B' D2 L
U F B D2 B' F L2 R F' L U F2 D F D' F' L B L' F L B2 F U F B' U F' B L' U2 F2 B2 D2 F B' (36f/31s)
U F2.R F' L U [Blocks]
F2 D F D' [R-corners]
F' L B L' F L B2 F U F B' [L-corners (8C+5E)]
U F' B L' [Leaving five edges]
U2 F2 B2 D2 F B' [Leaving three edges]
At dot insert: B F' D2 B' F L2 (One move cancel)
Edit:
Another one:
F D' R L2 D2 L2 R2 U L2 B D2 R' L U' L2 U' B U2 F L B' D' B2 L D
B L2 U B' D2 U' B2 D' L' F L B' L' F' D' F2 R2 B2 U' B2 R2 F2 L B2 R' U D' F R2 D U' B2 (32f/30s)
B L2 U B' D2 U' B2 D' [Blocks]
L' F L B' L' F'.L B2 [L3C (Leaving seven edges)]
R' U D' F R2 D U' B2 [Leaving three edges]
At dot insert: D' F2 R2 B2 U' B2 R2 F2
The third step is just Roux-style EO with a three-cycle at the end.
