X-CROSS can you do it?

[yangzhengbao]

X-CROSS 必要性分析（上篇）
2010-07-08 17:19
第一个：B' F' L R2 B2 R' B2 R B' F L R B2 U2 B L B U' R B F2 R' D2 B R'

XCROSS：R' F2 B' D2 R U' L2 B'

F2L2：L'ULU'L'UL

F2L3: U'R'U'RUR'U'RUy'L'U'L

F2L4: U2LUL'U2LU'L'

CF=36

OLL：U'(r' F' U F) (L F' L' U' r)

PLL:U R' U R' U' y R' F' R2 U' R' U R' F R F U

第二个：L2 U' L' R2 B L2 R2 F' L F' U2 B F2 R2 U2 B L R2 U R2 D2 F2 L U2 L2

XCROSS：U2 D' L F' D' F' D2 L D2

F2L2：U'R'U'RU2LUL'

F2L3: LUL'UL'U'L

F2L4:yU2RUR'U2RU'R'

CF=33

OLL:U (R'U'R U)y(r U R' U')r' R

PLLR U R'F')(R U R'U')(R'F R2 U'R')

第三个：F' L U F2 R2 B' F U L2 B2 F D' L B F2 D2 L B2 D U' L' D2 F2 D' U

XCROSS：F' R' U F L' U2 B' D'

F2L2: U L'U2LU'R'U'R

F2L3: y'U'L'U'LU'LUL'

F2L4: (R U' R' U) (R' F R F') R U' R'

CF=36

OLL: U' (r R'2 U' R U')(R' U2 R U' R)r'

PLLR U' R)(U R U R)(U' R' U' R2)U'

第四个：L' F2 D' U L' R F2 D' U' L' F2 L B' F2 L R D' U B F2 D' B' U' B F


XCROSS：R B D2 B2 U D R F

F2L2：y'LU2L2U'L

F2L3: RU2R'dR'UR(题外话：转了个d看见了LF空槽！)

F2L4:L'ULU'L'UL

CF=27

OLL：f (R U R' U')2 f'

PLL: x'(R U' R)z'(R'2 U' L U R2' B2)

第五个：F2 L2 R2 D L F2 L' D' L R' F' U2 R2 F2 L R' U' F2 R D L D2 F2 R D

XCROSS：U F' L' F' D' L F2 U2 R'

F2L2:UL'U'LLUL'ULU'L'

F2L3:R'U'R L'U2L U2 L'UL

F2L4: yRUR'U RUR'

CF=37

OLL:U2(f R U)(R2 U'R' U R2 U' R' f')

PLL:U'(R U R'F')(R U R'U')(R'F R2 U'R'U2


第六个：U' L R' U F' L2 R' B F D' U' L R2 U2 B D' L F D2 U F' L' D' U' L'

XCROSS：B' U2 F' L' D' L' D2 L

F2L2: U2LUL'

F2L3: y'RU2R'UR'U'R'

F2L4: y'U'L'U'LU2L'U2LU2L'UL

CF=33

OLL: U F'(r U R' U')(r' F R)

PLL: U2 x' R2 D2(R' U' R)D2(R' U R')

第七个：D U2 B2 F L' R' B' R' D' R D' B F' D' U2 F2 D U2 F' R2 B' R2 U2 L2 B

XCROSS：U2 R2 L' B R' D R' F

F2L2: U' LU'L'U' R'UR

F2L3: dU2LU'L

F2L4: U2 (R' F R F') U2 R U R'

CF=30

OLL: U' (R U R' U' r)(R' U)(R U' r')

PLL: U (R' U2)( R U) (R' U2) L U' R U L'


第八个：D U R2 B' F D' U L' R' D' L2 R' D2 U B' U' L2 R B2 F R2 B' F' D2 U'

XCROSS：D L' F D' R' U' B2 R2

F2L2: U LU'L'ULUL'

F2L3: U2R'U2RU'R'UR

F2L4:U2L'U'LU2L'U2LU2L'UL

CF=36

OLL: U2(r U' r'U')(r U r') (F' U F)

PLL: (R U R'F')(R U R'U')(R'F R2 U'R'U2

第九个：B F L' R' B D' L' R' D2 L R2 D L' B' F2 U L2 B2 F2 R2 F2 L' U R2 B2

XCROSS：F' R' D R2 B2 R' L' D

F2L2: U'L'U'L U2LUL'

F2L3: U L'U'LU'L'UL

F2L4: U2 R'U2RUR'U'R

CF=32

OLL: R' F R U R' F'R (F U' F')

PLL: U (R' U2)( R U) (R' U2) L U' R U L'

第十个 ：D U2 B2 D2 U' F' D2 U' F L R' U2 B2 L2 R2 D' F' L' U R' D2 U2 B2 F' L

XCROSS：U2 L F' D L' F' B' L2 D

F2L2:UR'U2RU'R'UR

F2L3:y' U'RUR'U'RUR'

F2L4:y' U(R' F R F') U2 R U R'

CF=35

OLL:U(r U R' U') (r' F R F')

PLL: U'(R' U2)( R U) (R' U2) L U' R U L'U'

第十一个：F2 U' L2 F2 L2 R B F2 U' F L' R B F2 R B2 F2 D2 U' B F L' D U' F'

XCROSS：U2 F B' U B2 R' U2 F L

F2L2: y' URU'R'

F2L3: U2LU'Ly'L'U2L

F2L4:U(R'FRF')RUR'

CF=30

OLL: U2 r U R' U R U'U' r'

PLL: U (R U R')y'(R2' u' R U')(R' U R' u R2)

第十二个：U F' D U B U2 B L' B' F D2 L' R' B R D2 U2 B F2 L' R2 B F2 D2 U'

XCROSS：D F L U B' R B

F2L2: UL'ULU2L'UL

F2L3: y'LU2L2U'L

F2L4: ULU2L'U2LU'L'

CF=39

OLLR U R' U' r)(R' U)(R U' r')

PLLR2 u)(R' U R' U')(R u') (R2' F' U F)U2

XCROSS条件下CF12平均：（39 30 35 32 36 30 33 37 27 36 33 36）/12=33.67步

 

[yangzhengbao]

1.B' F' L R2 B2 R' B2 R B' F L R B2 U2 B L B U' R B F2 R' D2 B R'

crossz2)U'RFRDF’D2R'

1F2L:U'R'U'RL'UL

2F2L:RU'R'URUR'

3F2L:yU'U'RU'R'y'UR'U'R

4F2L:y'U'L'ULUL'ULU'L'UL

CF=45

O:R2'DR'U2RD'R'U2R'

PR U R' U')(R' F)(R2 U' R' U')(R U R' F')U



2.L2 U' L' R2 B L2 R2 F' L F' U2 B F2 R2 U2 B L R2 U R2 D2 F2 L U2 L2

CROSS: （z2y’）R2DR'UR'2LF'L'

1F2L:y2L'U'LyU'LUL'

2F2L:L'U'Ly'UR'U'R

3F2L:RU'R'U’LU'L'

4F2L:U2F'U'U'FU'RUR'

CF=48

O:U2 R2'DR'U2RD'R'U2R'

PR U' R' U)(R U)( F R U R' U' F' )(R2‘ F R F')U'


3.F' L U F2 R2 B' F U L2 B2 F D' L B F2 D2 L B2 D U' L' D2 F2 D' U

CROSS: (z2）D2LFR2

1F2L:U'U'RU'R'

2F2L:y'2 URUR'U'RUR'U'RUR'

3F2L:U'R'URL'UL

4F2L:U'R'UR'FRF'R

CF=43

O:U’（R U2 R' U'）（ R U R' U') (R U' R')

P:U2(R2' U)(R U R' U')(R' U')(R' U R')U





4.L' F2 D' U L' R F2 D' U' L' F2 L B' F2 L R D' U B F2 D' B' U' B F

CROSSz2y’)ULF'yRFR2u

1F2L:L'ULR'UR

2F2L:ULUL'

3F2L:U'U'RU'R'

4F2L:L'ULU'y'RUR'

CF=30

O:（R U2 R' U'）（ R U R' U') (R U' R')

P:U2(R2' U)(R U R' U')(R' U')(R' U R')U2





5.F2 L2 R2 D L F2 L' D' L R' F' U2 R2 F2 L R' U' F2 R D L D2 F2 R D

CROSS: （z2y)LU'yF'R'F'U'L2u

1F2L:U'L'U2Ly'L'UL

2F2L:U'F'U'FU'RUR'

3F2L:y2U'RUR'U'RUR'U'RUR'

4F2L: y'RU'R'URU'R'

CF=47

O:U2F (R U'R'U'R U) (R' F')

P:F(R U'R' U')(R U R' F')(R U R' U')(R' F R F')U



6.U' L R' U F' L2 R' B F D' U' L R2 U2 B D' L F D2 U F' L' D' U' L'

CROSSz2y)L'R'D'R2Fu'

1F2L:y'U'U'RUR'U'RUR'U'RUR'

2F2L:U'y'RUR'U'RUR'U'RUR'

3F2L:yU'RU'R'UyRU'R'

4F2L:y’UURU'R'

CF=47

O:F'(r U R' U')(r' F R)

p：U'(RU'U')(R'U2)(RB'R'U')(RURBR2'U'



7.D U2 B2 F L' R' B' R' D' R D' B F' D' U2 F2 D U2 F' R2 B' R2 U2 L2 B

CROSSz2)FLD'R'D

1F2L:R'U'U'RU'U'LUL'

2F2L:RU'R'U'RU'R'URU'R'

3F2L:R'URU'R'U'R

4F2L:y'URUR'U2RU'R'

CF=37

O:r'(R2 U R' U)(R U'U' R' U)(r R')

P:U2 (R2 u)(R' U R' U')(R u') (R2' F' U F)


8.D U R2 B' F D' U L' R' D' L2 R' D2 U B' U' L2 R B2 F R2 B' F' D2 U'

CROSS: (z2y2）U'FR'FFL'D'R'u’

1F2L：y'2URUR'yU'R'U'R

2F2L:y'R'U'Ry'U'R'UR

3F2L:U2RU'2R'U2RU'R'

4F2L:U'LUL'Uy'L'U'L

CF=47

O:U(R U'U')(R2' F R F') U2(R' F R F')

P:U2F(R U'R' U')(R U R' F')(R U R' U')(R' F R F')U2

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

CROSSz2y2)DFR'FLFy'Lu2

1F2L:R'U2RU2LUL'

2F2L:RUR'U'RUR'

3F2L:y’URU'R'Uy'LUL'

4F2L：yUF'U'F

CF=38

OR U R' U')(R' F R F')

P:U'F(R U'R' U')(R U R' F')(R U R' U')(R' F R F')U2

10.D U2 B2 D2 U' F' D2 U' F L R' U2 B2 L2 R2 D' F' L' U R' D2 U2 B2 F' L

CROSS: （z2y2）R'UR'FyR2u2

1F2L:yU’RUR'URU'R'

2F2L:y U’RU'R'UyL'UL

3F2L:RUR'U'RU2R'

4F2L:U2R'URUUyRUR'

CF=42

O：U2 F (R U'R'U'R U) (R' F')

P:U2(RU2)(R'U2)(RB'R'U')(RURBR2'U


11.F2 U' L2 F2 L2 R B F2 U' F L' R B F2 R B2 F2 D2 U' B F L' D U' F'

CROSS: （z2y）LBF2RuR'

1F2L:U'U'L'UL-UL'ULU'L'UL（目的槽是LB槽）

2F2L:U'RU'R'2UR(做个标记)

3F2L:y'U2R'U'RU'R'UR

4F2L：U'L'U2LU2L'UL

CF=41

o：(R' U') R' F R F'(U R)

P：U(R' U2)( R U) (R' U2) L U' R U L'

12.10.19U F' D U B U2 B L' B' F D2 L' R' B R D2 U2 B F2 L' R2 B F2 D2 U'

CROSS: (z2y2）DURFR'2L2D2

1F2L:URUR'

2F2L:y2U(R' F R F') R U' R'

3F2L:U'L'ULU'L'UL

4F2L:U2R'URU2R'UR

CF=36

o：(r' U2)(R U R'U')(R U R'U) r

p：U'x' R2 D2(R' U' R)D2(R' U R')U2


(36 41 42 38 47 37 47 47 30 43 48 45)/12=41.75步

 

[nck]

What this is i don't even.

 

[r_517]

dont get it

 

[jiggy]

It's a break down of 24 solves, 12 of which were x-cross, 12 of which were full step. The OP then shows that the x-cross cases have, on average, 33.67 moves to a complete F2L against the full step's 41.75 moves. An improvement of ~8 moves is pretty good, but wouldn't necessarily correspond to a faster solve.

This is an interesting idea, but...why?

 

[James Ludlow]

It's a break down of 24 solves, 12 of which were x-cross, 12 of which were full step. The OP then shows that the x-cross cases have, on average, 33.67 moves to a complete F2L against the full step's 41.75 moves. An improvement of ~8 moves is pretty good, but wouldn't necessarily correspond to a faster solve.

This is an interesting idea, but...why?

8 moves is a whole second - or with me, nearly two seconds.

If you can plan an x-cross in the inspection time, surely this is something that should be used. Hasn't Chris Hardwick done work with the x cross?

 

[Kirjava]

Of course an xcross would give a lower movecount. However, I doubt these solutions were produced with 12 seconds of inspection.

In addition, shorter solutions don't necessarily mean faster execution.

 

[James Ludlow]

Of course an xcross would give a lower movecount. However, I doubt these solutions were produced with 12 seconds of inspection.

In addition, shorter solutions don't necessarily mean faster execution.

Agreed, but if you can find a fingertrick friendly and fast xcross, it would pay to try and find one?

 

[Kirjava]

For sure, that's the whole point of an xcross. If you see a good one, do it. Otherwise it's better to do a normal cross and track the first pair.

 

[yangzhengbao]

Of course an xcross would give a lower movecount. However, I doubt these solutions were produced with 12 seconds of inspection.

In addition, shorter solutions don't necessarily mean faster execution.

You can do it in x-cross,and then you can do it in cross in the same Scramble。
you can see it is a shorter time。

 

[irontwig]

For sure, that's the whole point of an xcross. If you see a good one, do it. Otherwise it's better to do a normal cross and track the first pair.

Or just start with a 2x2x2.

 

[Kirjava]

A 2x2x2 start is an xcross.

 

[CharlesOBlack]

not necessarily. If the 2x2x2 is extended to a 2x2x3 then it isn't an Xcross anymore.

Also, I think that a 2x2x2 is a bit different than a cross with a pair inserted. But that's just me.

 

[aronpm]

If the 2x2x2 is extended to a 2x2x3 then it isn't an Xcross anymore.

Why not?

 

[CharlesOBlack]

Because when you have a 2x2x2, the pieces solved are LF, LFD, DF and DL. When you have a 2x2x3, the pieces solved are the ones above plus LB, LBD and BD.
If you have an Xcross, then the pieces solved are LF, LFD, DF, DL, RD, and, in case of a double Xcross, LB, LBD and BD.

 

[Hyprul 9-ty2]

wat

 

[irontwig]

A 2x2x2 start is an xcross.

Not necessarily, depending on how you continue. Anyway, I only think of a start as an x-cross if you plan the entire thing in inspection, otherwise it's just something I would call block F2L or whatever or just trying not to be stupid and inflexible.

 

[nck]

Because when you have a 2x2x2, the pieces solved are LF, LFD, DF and DL. When you have a 2x2x3, the pieces solved are the ones above plus LB, LBD and BD.
If you have an Xcross, then the pieces solved are LF, LFD, DF, DL, RD, and, in case of a double Xcross, LB, LBD and BD.

What about DB?
I don't see how you can get an Xcross without getting a 2x2x2

 

[irontwig]

nck: You don't think he just simply forgot to write "DB"?

 

[CharlesOBlack]

Because when you have a 2x2x2, the pieces solved are LF, LFD, DF and DL. When you have a 2x2x3, the pieces solved are the ones above plus LB, LBD and BD.
If you have an Xcross, then the pieces solved are LF, LFD, DF, DL, RD, and, in case of a double Xcross, LB, LBD and BD.

What about DB?
I don't see how you can get an Xcross without getting a 2x2x2

Forgot that one.

You need to get a 2x2x2 to make an Xcross, but you don't need an Xcross to make a 2x2x2. That's my point.

Kirjava said that a 2x2x2 start makes the solve an Xcross, but it doesn't.