The 3x3x3 Example Solve Thread

[5BLD]

The highligted U moves are all AUF at OLL / PLL stage and do not do anything apart from adding moves in your written solution.
For FMC (as the OP was adding the movecount) you would do U' F U R U' R' F' as L U F U' F' L'
I understand people do this in speedsolving as U turns are fatser than cube rotations but for FMC turning the whole cube is the way to go

Corners twists are best handled via insertions, solving them via 2 3-cycles.
Irontwig made a nice post a while ago showing that a 2-twist can be solves in about 8 moves this way.

Check this for an example solve by Irontwig:
http://www.speedsolving.com/forum/s...lve-quot-Game!&p=615125&viewfull=1#post615125

Oh, they were just aufs? I was thinking about rearranging algs and such...

 

[Cubenovice]

Next: D U' R D' U' B' D' F' D B2 F2 U2 B2 D' F' U B' D B D L2 F2 U' F2 B2

Thistlethwaithe again

B2 D L2 B' (EO)
U2 D L' B2 (edges + set up)
B U2 B' U' B U' B D2 B2 (sune solves corners)
B L' B R2 B' L B R2 B2 (A perm to pair up corners)
D L2 D L2 R2 U' R2 D2 (fix bad edges)
D' U F2 U' D R2 (Equator edges)
R2 F2 R2 F2 R2 F2 (edge pair swap)

41 HTM taken cancellations into account
could even be better with a 3 cycle insertion for the A perm...

Alg garron: http://tinyurl.com/algB2DL2B-U2DL


Next: F2 D2 F' R F2 D L U' F D' U2 F2 U B D L2 R D R2 L' D R' U2 L B'

 

[5BLD]

Wow, cubenovice... those are some interesting solutions.
Is there a technique that you use that lets you cancel after every step? Or is that something to do with the actually human thistlethwaite method?

Edit: I'll probably finish off my last solution then do your scramble after attempting blindfolded a couple more times...

 

[ben1996123]

Next: F2 D2 F' R F2 D L U' F D' U2 F2 U B D L2 R D R2 L' D R' U2 L B'

cross: R' D' F' L F' R F2 x'
F2L 1: U R U' R' f' r2 b x2
F2L 2: F' U' F r U R' U' M
stuff: y R U' R' U F' U F U'
F2L 3+4: R2 u R2 u' R2
OLL: F' L' U' L U F
PLL: y' z' U L' U L U L U L' U' L' U2

lol solution

scramble: (L' U' B2 D2 L2 B2 F R)3

thats not a stupid scramble.

 

[5BLD]

Well, it's certainly more reasonable than your last one. I will do it tomorrow if no one has done it. I'm feeling lazy again :/

 

[Cubenovice]

Is there a technique that you use that lets you cancel after every step? Or is that something to do with the actually human thistlethwaite method?

A little bit of both.

B2 D L2 B' (EO)
U2 D L' B2 (edges + set up)
B U2 B' U' B U' B D2 B2 (sune solves corners) this is not my speedsolving sune
B L' B R2 B' L B R2 B2 (A perm to pair up corners) Both directions of A perm pair the corners, I just chose the one that cancels.
D L2 D L2 R2 U' R2 D2 (fix bad edges)
D' U F2 U' D R2 (Equator edges) you can also solve this 3-cycle via F2 U' D R2 D' U...
or the following three versions of the D' U F2 U' D R2 alg I used:
U D' F2 U' D R2 or U F2 U' D R2 D' or D' F2 U' D R2 U where you play with the order of moves
R2 F2 R2 F2 R2 F2 (edge pair swap) you can also start with F2 and end on R2

So the "technique" is knowing and trying multiple algs.

The "something" about the HTA method is the kind of algs / commutators you need, many of them can be done in multiple ways with identical move count.
As shown in the example above: at the step "pair up corners" you can apply left and right A-perms and the same goes for the Ortega algs for the other cases. But with these algs choosing L or R versions will influence the number of bad edges you'll have to fix in the next step.

There are also quite a few edge "algs" where you can just shift the first/last move: 3-cycles, 4-movers and 6- movers

Then there are a lot of moves along the same axis which allows you to switch these moves in your write up.

All this stuff helps in finding some cancellations.
In real FMC mode I would definately try to insert the E slice edg cycle and the A-perm.

 

[5BLD]

Hm... very interesting indeed. I will look up human thistlethwaite, and fewest move techniques, although there isn't much detail on the wiki...

And moves on the same axis... Yah I got you there.

But shifting first/last moves? I guess I'll just need to know some that do the trick. For you, you seem to adapt the algs to suit the solution. Or do you come up with them on the spot...?

 

[cubernya]

(L' U' B2 D2 L2 B2 F R)3
thats not a stupid scramble.

Really? I would consider any scramble "stupid" if it repeats anything more than once (and yours repeats 3 times)

Give a normal scramble...

anyway, providing my own:

F U2 R2 L' B R B L U2 B2 L D2 U' L' D2 R U B2 L' D' B' R U' D2 F

Speedsolve solution (CFOP):

Inspection: y x2
X-Cross: R F' L D R2 U R L' U L D (11/11)
F2L#2: U d R' U R U2 R' U' R (8/19)
F2L#3: U' L U L2 U L (6/25)
F2L#4: U' y R' U2 R U R' U' R (8/33)
OLL: U2 R' U2 F R U R' U' y' R2 U2 R B (12/45)
PLL: U' M2 U' M2 U' M' U2 M2 U2 M' U2 (11/56)

56 moves STM

Next: U F' B' R F' D2 R F' R' D' B2 U L' B' U' F2 B' R U F B' R2 L' B2 U2

 

[Cubenovice]

Hm... very interesting indeed. I will look up human thistlethwaite, and fewest move techniques, although there isn't much detail on the wiki...

And moves on the same axis... Yah I got you there.

But shifting first/last moves? I guess I'll just need to know some that do the trick. For you, you seem to adapt the algs to suit the solution. Or do you come up with them on the spot...?

For HTA check out Ryan Heise's site for the original info and the Human Thistlethwaite help/discussion thread:
http://www.ryanheise.com/cube/human_thistlethwaite_algorithm.html
and
http://www.speedsolving.com/forum/showthread.php?24355-Human-Thistlethwaite-Help-Discussion

For more info on FMC read this:
http://www.speedsolving.com/forum/showthread.php?1566-Fewest-Moves-Tips-and-Techniques
this
http://www.speedsolving.com/forum/showthread.php?13599-The-FMC-thread
and check the solutions of other people in the weekly comps.

FMC is a very cool event and good for your overall cube-understanding!

Blockbuilding with comm finish is typically the way to go for FMC but I am currently exploring the potential /limits for HTA.

But shifting first/last moves? I guess I'll just need to know some that do the trick. For you, you seem to adapt the algs to suit the solution. Or do you come up with them on the spot...?

Shifting first/last moves: works very wel for edge moves, so perhaps there are some in Roux?
I try to adapt algs as much as possible indeed. Since I do not know many I have to...

 

[5BLD]

Thanks; I'll be reading!
As for corner twists... Cancelling 6 moves sounds crazy... But I kinda see how.

I'll give it another shot (And maybe finish off the other one ) later today...

Shifting first/last moves: works very wel for edge moves, so perhaps there are some in Roux?
I try to adapt algs as much as possible indeed. Since I do not know many I have to...

In Roux we do have many ways of doing so in mooing, and blocks are basically like any other blockbuilding... Almost unlimited freedom.

However, for CMLLs, it's a bit difficult, as I find with ANY corner 'algs'.

Edit: I am now doing the scramble. Gonna try fewest moves... Hope it works.
I will be doing HTM, and not STM, so will avoid slices.
scramble: U F' B' R F' D2 R F' R' D' B2 U L' B' U' F2 B' R U F B' R2 L' B2 U2

try again: F' U2 R F B R' B R pseudo 2x2x3 in 8 moves; setup moves being B' F2 D2 U' F' D F U L F' D F 18+2 moves F2L-1
B D' B' L' D L * leaves 5 corners and no corner twists yay 24+2 moves total

hm... let's try some insertions...

* L2 D R D' L D R' D' L
now to insert the last few corners... for this I'll revert back to normal scramble to see if I can cancel moves there, too.
F' U2 R F B R' B R
D2 U' F' D F U L F' D F
B D' B' L' D L L2 D R D' L D R' D' L F2 B'

: B' F L' F' L B L' F L B' F2
final solution...... and I corrected a mistake.
F' U2 R F B R' B R
D2 U' F' D F U L F' D F
B D' B' L' D L' D R D' L D R' D' L B' L' F' L B L' F L B' F2

42 HTM is okay for a first FMC I guess...


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

 

[OMGitsSolved]

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

x2 y
EO Line: L2 F B' R' B R2 L2 D'
FRB: L' U2 R2
FLB: U L' U' L' U L U' L'
SRB: U' R U' R' U R U R'
SLB: U' L' U2 L U2 L' U' L
OLL: U R U R' U' R U' R' U2 R U R' U2 R U R'
PLL: R2 U R U R' U' R' U' R' U R' U

Next: D' R U2 R U D' R B' L2 B' L2 F2 B D' F2 D2 B U D F' U' D B L' D2

 

[Brest]

Next: D' R U2 R U D' R B' L2 B' L2 F2 B D' F2 D2 B U D F' U' D B L' D2

x2 U' L U' R u U R' // Xcross
U' L U2 L' d R U' R' L' U2 L // 2nd & 3rd CE
U2 L U2 L' // pair 4th CE

normal ending
U L U' L' // 4th CE
U f R U R' U' f' // OLL
l' U R' D2 R U' R' D2 R2 x' U // PLL

different ending
d L' U L F U' F' // 4th CE & EO
U F' r U R' U' r' F R // CLL comm

another ending
U2 x' U2 R U R' U x // 4th CE & EO
R U2 R' U' R2 D R' U' R D' R2 // LL alg


Next: L2 U2 F2 R2 U' R2 U L2 D' F2 L2 R2 F U' L' R2 U2 F' D F' U'

 

[irontwig]

B D F2 U' L B L U2 B2 U' B U' B L' D L' D' L2 U B2 U' D L' D U' F2 U D' (28)

B D F2 U' L2 [FB]
L' B L U2 B2 U2 B2 D [SB]
D' B2 U B U' B D [1st look CMLL+EO]
D' L' D L' D' L2 D [2nd look CMLL]
D' U B2 U' D L' D U' F2 U D' [LSE]

lolcancellations

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

 

[purplepirate]

F2 R F2 L' F R' F' U' R2 F2 R U B' U2 R2 D' L2 D L B' F' R2 L2 B' L2
Cross: U2 z U2 z F' R' F2 U' L2
F2L 1: U' R' U' R y L' U' L U' L' U L
F2L 2: y' L' U' L U' y2 L' U L U2' R U' R'
F2L 3: U R' U R L' U2 L U' L' U L
F2L 4: U2 y2 L' U' L U' L' U L
OLL: U f R U R' U' f' U' R U R' U R U2 R2 U' R U' R' U2 R
PLL: U R U R' U' R' F R2 U' R' U' R U R' F' U2 y R U' R U R U R U' R' U' R2

Next: R F2 L2 B' R B2 D' R F' D' B2 R2 U L D' F R2 F D2 R' B' R' U2 L D2

 

[Lukester172]

Next: R F2 L2 B' R B2 D' R F' D' B2 R2 U L D' F R2 F D2 R' B' R' U2 L D2

Cross:F' U2 L' F L2 U'

F2L 1:X2 U' F U F' U F U' F'

F2L 2:U' R' U' R F' U' F U2 F' U' F

F2L 3:Y2 U2 D' L' U' L D

F2L 2:L' U' L U2 L' U L

OLL:U2 f R U R' U' f' R U R' U R U2 R'

PLL:U2 R U R' U' R' F R2 U' R' U' R U R' F' Y R U' R U R U R U' R' U' R2

NEXT: F' U' F2 R2 F B D B R U' L' F2 L2 U B U B U2 D' R L D2 F D2 U2

 

[Jaycee]

NEXT: F' U' F2 R2 F B D B R U' L' F2 L2 U B U B U2 D' R L D2 F D2 U2

U R D' R F' L F
y' U' L' U L
U L U2 L' U2 L U' L'
R' U R U' R' U' R
U' R U2 R' y' R' U R d' R U2 R' U' R' F R' F' (Did this instead of RUR' to avoid dot case)
U' r U2 R2' U' R2 r'R' U2' R
y U R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F

 

[Phlippieskezer]

U R D' R F' L F
y' U' L' U L
U L U2 L' U2 L U' L'
R' U R U' R' U' R
U' R U2 R' y' R' U R d' R U2 R' U' R' F R' F' (Did this instead of RUR' to avoid dot case)
U' r U2 R2' U' R2 r'R' U2' R
y U R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F

Ninja.

Next scramble?

 

[AsianCubing]

Next: B' L' R2 F' U' B L2 U B' R B R2 D F R' D U F' U2 L' B F' L' B' U2

22B: U2 R2 y' U' L' U' R' U' R (9, 9)
223B: U2 F2 U R U2 R' U2 R U2 R' U2' R U' R' (14, 23)
F2L Pair+Cross piece: U2 L' U L' U' L' U2 L U2 L' U L (12, 35)
F2L Pair: U2 L U L' U2 L U' L' (8, 43)
2LOLL: U' f R U R' U' f' - U2 r U R' U' L' U R U' (16, 69)
PLL: x' U R U R' F' R U R' U' R' F R2 U' R' U' (15, 84)

Tried to do something other than regular Fridrich, pretty sure I failed it ;]
Next: U D B2 U2 L' U2 F' U2 B' U F D' R' U2 D' R' B' D L2 D F2 U D' L F2

 

[Cubenovice]

Tried to do something other than regular Fridrich, pretty sure I failed it ;]
Next: U D B2 U2 L' U2 F' U2 B' U F D' R' U2 D' R' B' D L2 D F2 U D' L F2

You definately failed it but don't worry.
You're trying something different that that's always a good thing!

I had a quick look at your 1st block: did I see some CFOP habits?
If you want to build blocks: have a look around if there are some pieces of blocks already available.

You've got:
- white center paired with white-red edge
- a white-red corner edge pair
let's bring them together :
shortest way: B R' already makes a square
best way: B D R B U' makes the 2x2x2 block, the D move brings the blue-red edge along the blue center so you have all compontents of the 2x2x2 ready

-

Here's another fail solve:
R F' L2 R' B R (EO) 6
R D2 R2 D' R2 D' R2 D2 R (CO) 14
L F U F' U' F U F' U' F U F' U' L' (worst CO) 28
D' R2 (separate corners) 30
B2 D B2 D2 L2 D L2 (pair up corners) 37
U' L2 U' L2 R2 D' R2 (fix bad edges) 44
D2 R U2 R2 U2 R2 U2 R (lasr 4 edges) 52

linear HTA without optimizing for corner orientation = fail HTM

Next: F' L' U' B2 D' U L2 F U' L' R2 D' L2 B R' U2 D2 F D2 B U R D' L2 U

 

[5BLD]

scrambly thingy: F' L' U' B2 D' U L2 F U' L' R2 D' L2 B R' U2 D2 F D2 B U R D' L2 U
L 1
U F2 U' D B' D' F D2 L2 10
R F' 12
R2 D2 R D 16
F D F D' F D F D' F D' 26
B2 F L F' R2 F L' F' R2 F' B2 37

I would have done much better if I bothered to insert a comm.
Also, I started well and finished rather badly :/

Not bad for my second FMC though. It took me eight minutes btw.
I will check through tomorrow. This was linear, you see.

Next: L2 B2 U2 D F2 L2 R B U R' L U R2 U B D' B2 R' F2 B D2 R2 D B' U'