The 3x3x3 Example Solve Thread

[4EverCuber]

JuLiEn posts some sweet solves.

= y / [r] = x / [f] = z
European(?) rotation notation

So, translated:

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

(x z2) U2 R U D L D'
(x z') r' U R' U' R2 U r2 U r' U R
U R' U2 R F U' R' U' R U F'
U2 M' U' M
U2 M U2 M' U M2 U M2
R

You can also move the last move (R) to the start of the scramble so the roux blocks appear solved, easier to grok.
(Start the scramble with R2 instead of just R)

Yea...his solves are really good. I don't understand Roux so it was hard for me to follow that solve.

 

[mariano.aquino]

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

Petrus+coll+epll

solve:
z R'U'R y' U2 R L' B' D2 R' (2X2X2 + ce pair) 11/11
x2 L2 y R' U2 R (2X2X3) 4/15
z y2 R U2 R' (EO) 3/18
y' R'U'R U' R U' R' U2 (4a) 8/26
R2 U R U' R' U' R (4b) 5/31
R' U L U' R U L' U (COLL: Niklas) 6/37
M2 U M2 U2 M2 U M2 (PLL H) 7/44

44 moves, thanx to cancellations =)

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

 

[irontwig]

[r][f] is Japanese notation

lolsolve:

z x F2 U2 x' U
r B' U R2 U'
R' L U M2 U R d
L' d' L U' L' d L d
L2 U2
x2 y' R U M U' R' U M' U'
r2 U M' U' L2 U M U'

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

 

[JuLiEn]

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

[f2] [r']
L U' L' R' U' M
M2 U r2 U R' U R U2 r U r'
U2 F' r U r' U2 L' U2 L
U M' U' M
[r2] D' M' U R2 U' M U R2 U' D

next : R' U2 L B F2 D2 F2 D2 L R U R L' F' D' F R' B D2 U' R' D' B' R' U'

 

[tociva]

[f2] [r']
L U' L' R' U' M
M2 U r2 U R' U R U2 r U r'
U2 F' r U r' U2 L' U2 L
U M' U' M
[r2] D' M' U R2 U' M U R2 U' D

next : R' U2 L B F2 D2 F2 D2 L R U R L' F' D' F R' B D2 U' R' D' B' R' U'

U2 F U R2 B2 L' D
R U' R2 U2 r2 U2 r U r'
B F' U L2 U2 F U F D F D' B' F2 U2
M' U' M U M U' M2 U' M U M U

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

 

[JuLiEn]

F L2 U' F L' D B' D' B2 U2 F D' R B' R' F' B2 D L2 R B' R F' U R'

[r] F U L D' U2 R2 B'
R2 r' U r' U R2 r U R' U2 R
L' U' L U r U' r' F
U M U' M U2 M2 U'

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

 

[Attila]

U M' U' M
[r2] D' M' U R2 U' M U R2 U' D

Try this L6E:
B2UM'U'M'B2M2

 

[Cubenovice]

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

ZZ
R B U' L' F R2 B2 U' D EOline B2 U' is an insertion
L2 U L block
R U' R2 pseudo block
R U' R' L U' L 3rd slot
U R U R' U R U R' 4th slot
OLL chameleon
PLL Y-perm
Undo pseudo: R2

But I prefer:
OLL Sune F U F' U F U2 F'
U leaves 3 corners
B' R B L' B' R' B L
R2 undo pseudo

next: B R U S S E L S M' U' S' E' U' M' M U M M y M' U' R' D' E' R' E' D' S E x y M' F'

 

[Ranzha]

next: B R U S S E L S M' U' S' E' U' M' M U M M y M' U' R' D' E' R' E' D' S E x y M' F'

Scramble: B R U F2 B2 D U' B R' L D' U R' F B' D' U B2 F2 L' R B' L' B' U' B' U' D B' y2

FreeFOPish

2x2x2: r U F2 R U' F' U x
Set-up two pairs: U' R U2 R2' U' R d'
Unintentional 3x-cross: U2 R U2 R2 F2 R U' L2 U' L2 (a cool trick I learned to solve 2 pairs)
4th pair: y2 U R2 U' R2 U' R2 U2 R2
CLL: y' U2 R U' R' U2 R L U' R' U L'
ELL: U M' U M U M' U M U M' U M U2

Next: E M B E Z Z L E R S

 

[Brest]

Next: E M B E Z Z L E R S

R' B' R
S' L' S' L' S2
E L D L' U'

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

 

[JuLiEn]

B U2 B2 L2 D2 F R2 B' D2 R2 U2 L2 D' B' U2 R' B D2 U' B' R

[f2]
L' U L' R' U' l
R2 U' r U R U2 R U' R U' [r']
L2 U' L U' L' U' R U' L U R'
M2 U M' U' M U' M2 U2
R'

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

 

[Ranzha]

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

Cross: x R U F D2 x [4]
1st pair: U2 R' U2 (R l) U' R' U x [7/11]
2nd pair: U L U2 (L' r') U L U' x [7/18]
3rd pair and setup for 4th pair: r' F r U2' F U F2' U2 F [9/27]
4th pair: U' R U R' [4/31]
COLL: U2 l' U' L U l F' L' F [9/40]
EPLL: y M' U M2' U M2' U M' U2 M2' [9/49]

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

 

[ben1996123]

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

cross: R' F R U F' L x'
F2L 1: L' U L U2 L' U L
F2L 2: R U' R' U' R' U' R
F2L 3: L U' L' U y' R' U' R
F2L 4: d2 R' U R U' R' U' R
CLL: R U R' U R U2 R'
ELL1: U r U R' U' M U R U' R'
ELL2: U' R U' R U R U R U' R' U' R2 U'

(B U L B S)*\( 17 \frac{4}{5} \)

 

[Brest]

(B U L B S)*\( 17 \frac{4}{5} \)

That's a great scramble for the Triangular Francisco Method, 1st step skip. A pity I don't know the method.

F2 R F D2 B L2 D F2
x' y R' F R F2 U' F r U' r' F
d R' U R U' R' U2 R
U' r U R' U' r' F R F' U'


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

 

[5BLD]

x2 L R' U' R2 F D U R' y
R2 U' R2 U R' U2 R U2 R2 U (R M) U2 R' U r
U F R U R' U' F'
M' U2 M' U2 M' U M' U2 M U2 M U' M2 U M' U2 M U2 M2

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

 

[JyH]

U2 L' U2 L2 F2 R' B2 R F2 R B2 D' F L2 U' R' B' U' L' B' F2

y' z'
F D L R2 B2 D2 (6)
U2 L' U2 L U' L' U L (8/14)
y' U R' U2 R U' R' U R (8/22)
U F U' F' U L' U L (8/30)
U R2 D R' U2 R D' R' U2 R' (10/40)
U' R U R' U' R' F R2 U' R' U' R U R' F' U' (16/56)

Dammit, 5BLD... (I finished first, just throwing it out there.)

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

 

[mariano.aquino]

irontwig, what method do you use for fmc?
anyone knows?

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

my first attempts with heise..

solve:
zx D L' R' U' R U' F' U´ (8)
D2 z2 R2 B2 R' B (5)
U' B U (3)
B U R' U' (4)
y2 U L' U' L U' L F' L' F U2 F U2 F' U' F' (15)
L' B' L F2 L' B L (7)
R U' L' U R' U' L U (8)
R' F R' B2 R F' R' B2 R2 F2 (10)

60 moves

or maybe..?

solve:
zx D L' R' U' R U' F' U´ (8)
D2 z2 R2 B2 R' B (5)
U' B U (3)
B U R' U' (4)
y2 L'U'L U2 F U' F'U2 L'U L F2 (12)
y R U R'U'R'F R2 U'R'U'R U R'F (14)
x2 L'U'L U2 F U'F'D'F U F'L'U L D L (16)

nope....62

still don´t get heise pretty much...=P

my way (petrus)

DBbr'x'uB'UR' (8)
L'D'B2 D L u R'x'(7)
F'R U R2 F2 R (6)
xy RURU' (4)
R'U'R'U2 R U2 R' (7)
y' R2 F2 R'B2 R F2 R'B2 R' (9)
B2 U M U2 M' U B2 U (8)

49, well, a lot better =)

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

 

[Cubenovice]

irontwig, what method do you use for fmc?
anyone knows?

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

my first attempts with heise..

solve:
zx D L' R' U' R U' F' U´ (8)
D2 z2 R2 B2 R' B (5)
U' B U (3)
B U R' U' (4)
y2 U L' U' L U' L F' L' F U2 F U2 F' U' F' (15)
L' B' L F2 L' B L (7)
R U' L' U R' U' L U (8)
R' F R' B2 R F' R' B2 R2 F2 (10)

Why do you make a siamese there?
In typical Heise you would just do U' and leave the square in a 2x2x3 block
You now have 3 of 4 Heise squares with white as common color.
Next step would then be building the 4th square with white: R' B R' D' R' D

In your solve you build the 4th square without white.

BUT thinking in FMC mode this can be a good thing!
With your approach:
U' B U (3)
B U R' U' (4)
you also have a F2L-slot, it just happens to be a pseudo one.

let's explore this one;-) in FMC style
First I will rewrite yor solution without cube rotations:
B D' U' F' U F' R' F (8)
B2 D2 L2 D' L (5)
B' L B (3)
L B D' B' (4)
now you have a pseudo F2l-1 slot (pseudo by L' move)

If we apply this move before the scramble this solution gives a regular F2L-slot.
prescramble L' (+1)
B D' U' F' U F' R' F (8)
B2 D2 L2 D' L (5)
B' L B (3)
L B D' B' (4) 20+1 HTM

Let's try some EO and edge permutations:
D' B' D L B' L'
B L' B2 L B leaves 4 corners at 31+1 HTM

or

B D' B2 D
B2 L B L'
B D' B D B2 leaves 5 corners at 30+1 HTM (3 moves cancel)

or
B D' B R' B2 R D leaves 4 corners after 24+1 HTM (3 moves cancel)
The 4 corners are two pairs, this leaves options for different commutators.

L' F' L B' L' F L B doesn't leave a 8 mover finish for the last 3 corners but L' F' L B2 L' F L B2 does
D2 B U B' D2 B U' B' last 3 corners
L' corrects premove: DONE 41 HTM

May look for insertions later...

 

[irontwig]

irontwig, what method do you use for fmc?

Most of the time starting with a (pseudo)2x2x3, from two squares or a 2x2x2 or (rarely) directly and then trying to leave few enough pieces to solve with an insertion/LL alg/inserted LL algp) and most of time with a F2L-1 as a substep.

 

[aminayuko]

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

X' D2 R' F2 Cross
R U' R' B' U' B F2L#1
D' R U2 R' D F2L#2
U2 R' U R U' B U' B' F2L#3
U F U F' F2L#4
U Fw R U R' U' Fw' U' F R U R' U' F' OLL
U2 F R U' R' U' R U R' F' R U R' U' R' F R F' PLL
49 moves

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