The 3x3x3 Example Solve Thread

[Devagio]

psuedo EOcross D2 F L D' U2 L' 6/6
pair 1 R U' R' 3/9
pair 2 L U' L' U' L U' L' 7/16
pair 3 U2 L' U L 4/20
pair 4 + oll U R' U R U' R' U R 8/28
pll y2 B U B' R2 u' R U' R' U R' u R2 D U2 14/42
zz 41 stm



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

Easy WV may be worth it for YruRU.

z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R2 U // square (4/24)
R’ U R’ U’ R U R U’ R’ U R’ // WV (11/35)
U R2 U’ R2 U2 R2 U2 R2 U’ R2 U2 R2 // EPLL (12/47)

z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R2 U // square (4/24)
R’ U R’ U’ R2 U R2 U’ // F2L (8/32)
z’ y R U R’ U R U’ R’ U R U2 R’ U2 // 2GLL (12/44)


z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R U2 R U2 R’ U2 R2 U’ R U’ R U2 R U’ // Optimal 2-gen (16/36)

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

 

[mukerflap]

Easy WV may be worth it for YruRU.

z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R2 U // square (4/24)
R’ U R’ U’ R U R U’ R’ U R’ // WV (11/35)
U R2 U’ R2 U2 R2 U2 R2 U’ R2 U2 R2 // EPLL (12/47)

z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R2 U // square (4/24)
R’ U R’ U’ R2 U R2 U’ // F2L (8/32)
z’ y R U R’ U R U’ R’ U R U2 R’ U2 // 2GLL (12/44)


z y’// inspection
r u’ f U f // CP line (5/5)
u2 r’ R’ U’ r’ u2 // pEO extension (6/11)
r’ U2 r’ U r’ U’ r U r2 // EOBF (9/20)
R U R U2 R U2 R’ U2 R2 U’ R U’ R U2 R U’ // Optimal 2-gen (16/36)

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

the MU h perm is far better than the RU

 

[ProStar]

the MU h perm is far better than the RU

Both of them are really fast.

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

/* Scramble */
F' U B L2 D2 L F R' F' U' F B' U2 B2 R2 U2 F' U2 L2 U2

/* Solve */
x // Inspection

M' U' B' R' U2 R D // 2x2x2

F2 U2 F2 R' U F' // 2x2x3

U2 R' S' z R F' B2 U B' // EO

R U R U R' U2 R U' R U' R' U R // F2L

y' R' U' R U' R' U2 R2 U' L' U R' U' L U // ZBLL

// View at alg.cubing.net


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

 

[Micah Morrison]

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

8.460 (could've been really fast but I locked up on the J Perm)

z2 // inspection
R L F' D U2 R' D' // Cross, sets up 1st pair
U R U' R' // F2L1
y' U R U R' L U' L' // F2L2
L' U' L R U' R' //F2L3
U L' U' L y' U' R U R' // F2L4
U2 R' F R U R' U' F' U R // OLL
R U R' F' R U R' U' R' F R2 U' R' U' // PLL

56 HTM, 6.6 TPS

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

 

[mukerflap]

8.460 (could've been really fast but I locked up on the J Perm)

z2 // inspection
R L F' D U2 R' D' // Cross, sets up 1st pair
U R U' R' // F2L1
y' U R U R' L U' L' // F2L2
L' U' L R U' R' //F2L3
U L' U' L y' U' R U R' // F2L4
U2 R' F R U R' U' F' U R // OLL
R U R' F' R U R' U' R' F R2 U' R' U' // PLL

56 HTM, 6.6 TPS

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

8.90
z2 x'
F M' u M U' M2 U2 F' 8/8
R U' R' R' U2 r M' U2 r' U' r 11/19
U2 r U' r2 D' r U' r' D r2 U r' 12/31
M' U M U' M' U M' U2 M U2 M' 11/42
42STM 4.7 tps

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

 

[fun at the joy]

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

9.07
y' // inspection
Rw2 F2 R D F D F2 D' // cross
R U2 R' // 1st pair
y U2 R U' R' U R U R' // 2nd pair
y U2 R U2 R' U2 R U' R' // 3rd pair
U2 R' U' R U' R' U R // 4th pair
U' Rw U R' U' Rw' F R F' // oll
U R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R U2 // pll
64/9.07 = 7.05 tps

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

 

[Cuberstache]

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

YruRU, 39 STM o_O

z2 // Inspection
F' U F u' R S2' // CPLine
R' u r2 u2' // pEO + FB
r U2' r' U2' r U' M // EO
U r' U2' r' // BF
U' R' U R U' R U2' R' U2' // F2L
R U R U R U' R' U' R2 // 2GLL

Super nice extension and F2L

NEXT: L2 U2 L2 U2 R2 B' L2 U2 R2 U2 B F R' B' D F2 U2 R2 B F R'

 

[ProStar]

NEXT: L2 U2 L2 U2 R2 B' L2 U2 R2 U2 B F R' B' D F2 U2 R2 B F R'

A first look through solve

/* Scramble */
L2 U2 L2 U2 R2 B' L2 U2 R2 U2 B F R' B' D F2 U2 R2 B F R'

/* Solve */
x2 // Inspection

D2 R D R2 D L F' L' D // Cross

U R' U2 R U2 F' U' F // 1st Pair

U' L' U M' B2 M // 2nd Pair

L U' L' U' L U2 F U' F' // 3rd Pair

L U' L2 B L B' // 4th Pair

U F' U' L' U L F // OLL

M2 U' M U2 M' U' M2 U' // PLL

// View at alg.cubing.net


NEXT: F' B2 L2 D2 L D2 F2 R F2 D2 F2 L2 U' B2 L' B' R' D' B F'

 

[Cuberstache]

NEXT: L2 U2 L2 U2 R2 B' L2 U2 R2 U2 B F R' B' D F2 U2 R2 B F R'

CFOP, 49 STM

y' // Inspection
R' L2 F D L' D // Cross
U2 L U' L' R U' R' // 1st Pair
U' R' U' R U2' R' U R // 2nd Pair
y' R' F2 R F' U r U' r' // 3rd Pair
U' R U R' U' R U2' R' F' // 4th Pair
U R2 D r' U2 r D' R' U2 R' U' // ZBLL

YruRU, 49 STM

y' x // Inspection
f U2' S' // CPLine
u' M u' R // Setup
U' R u2' U' r // pEO + FB
r2 U' R' U' r' U r' // EO
U' r2 // BF
U' R' U R U' R' U R // Square
U R U' R' U2' R U2' // F2L
R2 U' R U' R' U2' R' U2' R' U' R U' R2 U2' // 2GLL

Looks like two solves takes too long, use ProStar's scramble.

 

[Deleted member 51471]

A first look through solve

/* Scramble */
L2 U2 L2 U2 R2 B' L2 U2 R2 U2 B F R' B' D F2 U2 R2 B F R'

/* Solve */
x2 // Inspection

D2 R D R2 D L F' L' D // Cross

U R' U2 R U2 F' U' F // 1st Pair

U' L' U M' B2 M // 2nd Pair

L U' L' U' L U2 F U' F' // 3rd Pair

L U' L2 B L B' // 4th Pair

U F' U' L' U L F // OLL

M2 U' M U2 M' U' M2 U' // PLL

// View at alg.cubing.net


NEXT: F' B2 L2 D2 L D2 F2 R F2 D2 F2 L2 U' B2 L' B' R' D' B F'

How about a nice LBL solve?
L' D L' D2 L // Cross
U' L' U L U R' U' R U L U' L' // CFL
U2 R U' R' d' L' U L y U' L' U L d R U' R' y2 U2 R U' R' d' L' U L y' U L' U' L d R U R' // ESL
//EOLL
R2 D R' U2 R D' R' U2 R' // OCLL
y2 R U R' F' R U R' U' R' F R2 U' R' // CPLL
y M2 U' M U2 M' U' M2 // EPLL
78 STM
So to get a 7.00 world class solve here, you need 11.14 TPS Max park could do this
NEXT:
L2 B U2 B' D2 F U2 B2 L2 F U B' F2 L D B U R F' L

 

[Devagio]

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

YruRU

y’ z’ // inspection
U’ S’ U2 f’ // CP-line (4/4)
R’ (U2) r’ u’ r’ u’ // pEO extension (6/10)
U r’ U’ r2 U’ r U R U r2 // EOBF (10/20)
R U R2 U2 R2 U2 R' U' R2 U' // F2L (10/30)
z' y R U2 R' U' R U' R2 U2 R U R' U R U' // 2GLL (14/44)

Explanation of pEO extension:
After CP line, the centre is in front, the two edges are in UR and FR.
R' // connects one edge to the centre.
U2 // I intend to push the centre to the D face, then to B face, thus will have 2 Rw moves. The U2 is to ensure that DB is good. You can (probably should) simply do this at the end as well, I put it here to (possibly) save a move and show the numerous possibilities.
r' // Puts the centre in the bottom. Could have put it in top as well, but then the extension would be flipped.
u' // sets up the other edge.
r' u' // forms and inserts the extension.

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

 

[mukerflap]

YruRU

y’ z’ // inspection
U’ S’ U2 f’ // CP-line (4/4)
R’ (U2) r’ u’ r’ u’ // pEO extension (6/10)
U r’ U’ r2 U’ r U R U r2 // EOBF (10/20)
R U R2 U2 R2 U2 R' U' R2 U' // F2L (10/30)
z' y R U2 R' U' R U' R2 U2 R U R' U R U' // 2GLL (14/44)

Explanation of pEO extension:
After CP line, the centre is in front, the two edges are in UR and FR.
R' // connects one edge to the centre.
U2 // I intend to push the centre to the D face, then to B face, thus will have 2 Rw moves. The U2 is to ensure that DB is good. You can (probably should) simply do this at the end as well, I put it here to (possibly) save a move and show the numerous possibilities.
r' // Puts the centre in the bottom. Could have put it in top as well, but then the extension would be flipped.
u' // sets up the other edge.
r' u' // forms and inserts the extension.

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

B' L' D' R2 F' U L2 D2 8/8 EOcross
L U' L' 3/11 pair 1
D' R U2 R' 4/15 psuedo pair 2
U' L U2 L' U L U L' 8/23 psuedo pair 3
U L' U' L D 5/28 psuedo pair 4
y R' U2 R U R' U' R U2 L U' R' U M 13/41
ZZ-A+
L2 F L2 B D2 B2 L2 B2 F' U2 B D' F2 R' F2 R' D2 R' F U' next

 

[Owen Morrison]

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

YruRU

z2 X // inspection

F2 // CP line

r2 U2 r' u' U' r U r u2 // pEO extension

r2 U' R2 U M' U' r U' R U' r U2 r' U2 r2 // EOBF

U2 R U R' U' R2 U' R U // F2L

z' U' R2 U' R U' R U R' U R U R' U' R' U R2 U2 // 2GLL

51 STM

My EOBF felt super inefficient, probably need to work on that some.

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

 

[ProStar]

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

U' R2 U' R' U2 R' L U2 S2 U' B' U S2 // FB

U2 L' M U M L' U M U2 M // EOStripe

U2 L2 U2 L U L2 U L // SB

R U2 R' U2 R U' R' U2 R U' R' U2 R U R' U' // ZBLL

Yay intuitive EO


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

 

[Devagio]

r2 U' R2 U M' U' r U' R U' r U2 r' U2 r2 // EOBF

You could instead do stuff like
U’ R r U2 r U’ // staircase
r U’ r U R2 U r2 // EOBF
It isn’t a great case but execution wise this is pretty quick. This is a good resource.

By the way, interesting turn of events that you got this CP-line which is an F2 away from being solved

 

[mukerflap]

y x' y U S E F z2 EO 4/4
R' D2 R2 D L2 D2 B2 D2 U' L' U' L R U R' D R2 U' R' U' R' U' R U' R' U R U' R' weird freefop stuff + oll 29/33
M2 D S2 D' S' M2 S U' pll 8/41
ZZ-C-freefop 41stm
next U R' F2 L F2 U2 L' F2 R2 B2 U2 B D2 U R2 D L' D2 B'

 

[Devagio]

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

YruRU

z y // inspection
F' // CP-line (1/1)
r' R' u R U' R u2 // pEO extention (7/8)
R U2 r' U' r2 U' r U r U2 r' U2 r2 // EOBF (13/21)
U R2 U R' U' R' U' R // F2L (8/29)
y' R2 U R' U' R' U' R U2 R' U' R2 U' R2 // 2GLL (13/42)

Lucky CP-line and F2L, unlucky EOBF. Kinda cheated in 2GLL to reduce movecount.
Can technically reduce the movecount (HTM by 1, QTM by 2) of BF by doing U r' U' r2 R' U r2 instead of U' r U r U2 r' U2 r2, but this is quite unintuitive.

pEO extension explanation:
With literally a one move CP-line, its easy to see that the DF edge is "misoriented" and the centres are improper (i.e. W/Y are in F/B), so we use the single r' trick.
r' // Placing the DF edge in DB while orienting it, while making centres proper. Now, we need to finish this step using only [R, U, u] to preserve this. Luckily, the red centre gets connected with an FB edge.
R' u R // making the usual setup
U' R u2 // extension. Note that U' r u2 does orient more edges while placing an oriented edge in DB, but it doesn't work since it ruins the centres. This is a common pitfall I am facing while transitioning to the intuitive pEO extension.

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

 

[mukerflap]

YruRU

z y // inspection
F' // CP-line (1/1)
r' R' u R U' R u2 // pEO extention (7/8)
R U2 r' U' r2 U' r U r U2 r' U2 r2 // EOBF (13/21)
U R2 U R' U' R' U' R // F2L (8/29)
y' R2 U R' U' R' U' R U2 R' U' R2 U' R2 // 2GLL (13/42)

Lucky CP-line and F2L, unlucky EOBF. Kinda cheated in 2GLL to reduce movecount.
Can technically reduce the movecount (HTM by 1, QTM by 2) of BF by doing U r' U' r2 R' U r2 instead of U' r U r U2 r' U2 r2, but this is quite unintuitive.

pEO extension explanation:
With literally a one move CP-line, its easy to see that the DF edge is "misoriented" and the centres are improper (i.e. W/Y are in F/B), so we use the single r' trick.
r' // Placing the DF edge in DB while orienting it, while making centres proper. Now, we need to finish this step using only [R, U, u] to preserve this. Luckily, the red centre gets connected with an FB edge.
R' u R // making the usual setup
U' R u2 // extension. Note that U' r u2 does orient more edges while placing an oriented edge in DB, but it doesn't work since it ruins the centres. This is a common pitfall I am facing while transitioning to the intuitive pEO extension.

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

F' U' F' L R2 D //eoline 6/6
R' U' R U2 R' U R2 U R U R //RB 11/17
L2 U L' U L' U L' U' L U2 L' U' L //LB 13/30
y R U2 R' U2 R U R2 D' R U2 R' D R2 U2 R' U F2 //zbll 17/47
ZZ47stm

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

 

[fun at the joy]

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

y // inspection
F R' F U' L // 222
y U' R U' F' R' U2 R' U' R' U' R // stuff
U2 L' U' L2 F' // f2l-1e + eo
L2 U' L U L' U' L U L' U' L U F // coll
U M' U2 M U // l3e
39 stm

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

 

[RedstoneTim]

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

Hexagonal Francisco, 43 STM

L U2 F U L u' M2 // Hexagon
u' r U r' u' U' r U' r' R2 E2 R2 // E layer + EO + DF
U R U R' U2 R U2 R' U R U2 // CLS
R u' R U' R U R' u R2 y R U' R' u2 // PLL

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