三阶魔方CFOP公式(GAN)
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OLL公式及手法Gan
1
(R U'U')
(R2' F R F')U2
(R' F R F')
2
(F R U R'U' F')
(f R U R'U' f')
3
f(R U R'U')f'U' F(R U R'U')F'
4
f(R U R'U')y x(R’ F)(R U R'U')F'
5
(r' U2)
(R U R'U)
角换
05.x'R2 D2(R'U'R)D2(R' U R')
06.x'(RU' R)z'(R'2U'L U R2'x yR2)
上式中的R2'x y是同时进行的
07.x'(R U' R'D)(R U R')u2'(R' U R)D(R'U' R)
邻角对棱对角邻棱
08.(R U R'U')(R' F)(R2U' R'U')(R U R' F')
02.(R2' U)(R U R'U')(R'U')(R' U R')
03.M2 U M2 U2 M2 U M2
04.(U R'U')(RU'R)(U RU')(R'U R U)(R2U')(R'U)
01'.(R2U')(R'U' R U R U)(RU'R)
02'.(R'U R'U')(R'U')(R'U)(RUR'2)
(R U R')U2(R U R'U')(R U R')
(R U' R' U2)(R U R')
U(RU’U’)(R' UR U')R'
(RU’U’)(R'U' R U)R'
U'(RU')(R' U2)(R U' R')
U' (R U R') d (R'U' R)
d (R' UR U')(R'U' R)
U'(R U R' U)(R U R')
(R U R')
U' (RU'R' U)(R U R')
加下划线的是用左食指完成，斜体是用右拇指
浅蓝色的是最少步数版本
红色是新增的多解
新修正
（请看下页的公式说明）
（图5）
（图6）
（图7）
（图8）
U' (RU'U’ R' U)(R U R')
d (R' U' R) d' (R U R')
y'U' (R' U R)
(d R'U' RU'U')(R' U R)
d (R' U2)(RU'U’)(R' U R)
(R U' R' U)(dR'U' R)
(R U')(R' U)(R U')(R' U2)(R U' R')
R'U')r'
=(r' U' r U')(R' U R U' R' U)(R r' U r)
＝(r U r')(U R U' R')2(r U' r')
57
(R U R'U'r)(R' U)
(R U' r')
29’
(R2U' R)F(R' U) (R2U') (R'F' R)
47
b'U'
(R' U RU'
x(整个魔方以R的方向转动)，y(整个魔方以U的方向转动)，z(整个魔方以F的方向转动)，
斜体是用右拇指
下划线用左食指
-*F2l手法Gan
(RU'U' R' U)2 y'(R'U' R)
(U RU' R'U') y'(R' U R)
(R'F' RU)(RU' R' F)
U’(F’RUR’U’)(R’FR)
(R U R'U')
(R' U R')r
43
(B'U')
(R' U R B)
44
f (R U
R'U')f'
45
F (R UR'U') F'
46
(R'U')
Байду номын сангаасR' F RF'
(U R)
47
B'(R'U'
R U)2B
48
F (R U R'U')2F'
49
RB'(R2F)(R2B)
R2F'R
50
L'B(L2F')(L2B')
(R U R'U')(R U R')
(R U R'U')2(R U R')
(RU'R') y’(R'U2R)
y' (R' U2)(R U R'U')R
y'U'(R' U2)(RU' R' U)R
y'(R' U RU'U')(R'U' R)
y' (U2 R2' U2)(R U R' U R2)
(R U R'U)(RU'U' R'd)(R'U R)
(R FU')
(R'U' R UF')
24
(r U R'U')
(r' F RF')
25
F'(rU
R'U')
(r' F R)
26
RU'U'
R'U'
RU' R'
27
R' U2 R U
R' U R
28
(r U R'U')
(r' R U)
(RU' R')
29
(rU R' U')(R r'2 F R F')
(r R')
15. (R U'U')(R' U2)(RB' R'U')(R U R B R2' U)
三角
三棱换
16.(R2'u' R U'R)(U R' u)(R2fR'f')
17.(R U R')y'(R2' u' R U')(R' U R' u R2)
18. (R2 u)(R' UR'U')(R u') (R2'F'UF)
30
(fRU)(R2U'R'UR2U'R'f')
31
(r'F'UF)
(L F'
L' U' r)
32
(RU)(B'U')(R' U R B R')
33
(R U R'U')
(R' F R F')
34
(R'U'R U)
y(r U R'U')r' R
35
R U'U'R2' FR F'(R
U'U'R')
36 R'U'R U'
L2F L'
51
f (R U R'U')2f'
52
R'U' RU' R'd
R' UlU
53
(r' U2)
(R U R'U')
(R UR'U)
r
54
(r U'U')
(R'U' R U
R'U')
(R U' r')
55
(R U'U')
(R'2U')
R U'R'U2
(F R F')
56
F (RUR'U')(R F')(r U
r
6
(rU'U')
(R'U' RU'r')
7
rU
R'UR
U'U'r'
8
r'U' R
U' R'U2r
9
(R' U' R) y'x' (RU')(R'F)
(R U R')
10
(R U
R'U)(R'F
RF')
(RU'U'R')
11
r'(R2 U R' U)(RU'U'R'U)
(r R')
12
(r R'2U' R U')(R' U2 R U' R)r'
x(U'R'U RU'U')
10'.z(U'R U' l')z(R' U R'U')(l R)
(U' R' U R U)
邻角邻棱换
12.z(U'RD')(R2 U R'U' R2 U)z'(R U')
13.(R U R'F')(RU R'U')(R'F R2U'R'U')
14.(R' U2)(R U'U')(R' F R U R'U')(R'F' R2U')
19.(R' d' F)(R2 u)(R' U)(R U' Ru' R2)
对角
对棱换
20.z(R'U R')z'(R U2L' U R')
z(U R')z'(R U2L'U R')
21.z(U'RD')(R2U R'U')z'(R U R')
z(R2 U R')z'(R U')
说明
符号系统：RLUDFB，rludfb(转两层)如u就是上两层顺时针转90度
(R' F
R F')
19
(r' R U)(R U R' U' r)
(R'2 F R F')
20
r'(R U)
(R U R'U' r2)(R2'U) (RU') r'
21
(R U'U')
(R'U'
R UR' U')
(RU' R')
22
R U'U'
(R'2U')
(R2U')
R'2U'U'R
23
(R' U2)
R' U R)b
10
(L U L')
y'
(R'F R F')
(R U2 R')
42
(R'U2)(R U R' U R2)y(R U R' U')F'
29
x'(U'RU')
x(R'2U)
(RUR'U')
x'RU'U'
蓝色的OLL为
西安魔友“我是海”提供
PLL公式及手法Gan
棱换
01.(R U' R)(U R U R)(U' R'U' R2)
R'UR U
lU'R'U
37
F(RU'
R'U'R U)
(R' F')
38
(R U R'U)
(RU'R'U')
(R'F RF')
39
(rU' r'U' r)y(R U R'f')
40
(R' F R U R'U')
(F' U R)
41
R U' R' U2 RUyRU' R'U' F'
42
(r' R2)y
y' (R'U' R)
(d R'U' R U')(R'U' R)
y’(RU’U’)R’2U’R2U’R’
U'(RU'U'R' d)(R'U'R)
y' (R' U)(R d'U’)(R U R')
U' (RU’U')(R' U2)(R U' R')
U'(R U R' U')(RU'U' R')
UR U' R'
13
(rU'r'
U')(r U r')
(F' U F)
14
R' F R U
R' F'R
(FU' F')
15
(r'U'r)
(R'U'R U)
(r'U r)
16
(r U r)'
(R U
R'U')
(rU' r')
17
(R U R' U)
(R' F R F'U2)
R' F R F'
18
F (R U R'd)(R' U2)
09.U'(R'U RU' R'2 b')x(R'U R)y'(R U R'U' R2)
10.(R' U R'U')yx2(R' U R'U'R2)xz'(R'U'R U R)
11.F(RU'R'U')(R U R' F')(R U R'U')(R' F R F')
09'.z(R U R'U'RU'U')(x'z')(R U R'U')
(R U R' U')(RU'U' R' U')(R U R')
(R U' R U)y(R U' R' F2)
y'(R'U' R U)(R'U' R)
(R U'R' U)(R U' R')
(RU'R'U)(RU'U'R'U)(RU'R')
R2 y(R U R'U')y'(R' U R')
y' (R' U)(RU')(R' U R)
1
(R U'U')
(R2' F R F')U2
(R' F R F')
2
(F R U R'U' F')
(f R U R'U' f')
3
f(R U R'U')f'U' F(R U R'U')F'
4
f(R U R'U')y x(R’ F)(R U R'U')F'
5
(r' U2)
(R U R'U)
角换
05.x'R2 D2(R'U'R)D2(R' U R')
06.x'(RU' R)z'(R'2U'L U R2'x yR2)
上式中的R2'x y是同时进行的
07.x'(R U' R'D)(R U R')u2'(R' U R)D(R'U' R)
邻角对棱对角邻棱
08.(R U R'U')(R' F)(R2U' R'U')(R U R' F')
02.(R2' U)(R U R'U')(R'U')(R' U R')
03.M2 U M2 U2 M2 U M2
04.(U R'U')(RU'R)(U RU')(R'U R U)(R2U')(R'U)
01'.(R2U')(R'U' R U R U)(RU'R)
02'.(R'U R'U')(R'U')(R'U)(RUR'2)
(R U R')U2(R U R'U')(R U R')
(R U' R' U2)(R U R')
U(RU’U’)(R' UR U')R'
(RU’U’)(R'U' R U)R'
U'(RU')(R' U2)(R U' R')
U' (R U R') d (R'U' R)
d (R' UR U')(R'U' R)
U'(R U R' U)(R U R')
(R U R')
U' (RU'R' U)(R U R')
加下划线的是用左食指完成，斜体是用右拇指
浅蓝色的是最少步数版本
红色是新增的多解
新修正
（请看下页的公式说明）
（图5）
（图6）
（图7）
（图8）
U' (RU'U’ R' U)(R U R')
d (R' U' R) d' (R U R')
y'U' (R' U R)
(d R'U' RU'U')(R' U R)
d (R' U2)(RU'U’)(R' U R)
(R U' R' U)(dR'U' R)
(R U')(R' U)(R U')(R' U2)(R U' R')
R'U')r'
=(r' U' r U')(R' U R U' R' U)(R r' U r)
＝(r U r')(U R U' R')2(r U' r')
57
(R U R'U'r)(R' U)
(R U' r')
29’
(R2U' R)F(R' U) (R2U') (R'F' R)
47
b'U'
(R' U RU'
x(整个魔方以R的方向转动)，y(整个魔方以U的方向转动)，z(整个魔方以F的方向转动)，
斜体是用右拇指
下划线用左食指
-*F2l手法Gan
(RU'U' R' U)2 y'(R'U' R)
(U RU' R'U') y'(R' U R)
(R'F' RU)(RU' R' F)
U’(F’RUR’U’)(R’FR)
(R U R'U')
(R' U R')r
43
(B'U')
(R' U R B)
44
f (R U
R'U')f'
45
F (R UR'U') F'
46
(R'U')
Байду номын сангаасR' F RF'
(U R)
47
B'(R'U'
R U)2B
48
F (R U R'U')2F'
49
RB'(R2F)(R2B)
R2F'R
50
L'B(L2F')(L2B')
(R U R'U')(R U R')
(R U R'U')2(R U R')
(RU'R') y’(R'U2R)
y' (R' U2)(R U R'U')R
y'U'(R' U2)(RU' R' U)R
y'(R' U RU'U')(R'U' R)
y' (U2 R2' U2)(R U R' U R2)
(R U R'U)(RU'U' R'd)(R'U R)
(R FU')
(R'U' R UF')
24
(r U R'U')
(r' F RF')
25
F'(rU
R'U')
(r' F R)
26
RU'U'
R'U'
RU' R'
27
R' U2 R U
R' U R
28
(r U R'U')
(r' R U)
(RU' R')
29
(rU R' U')(R r'2 F R F')
(r R')
15. (R U'U')(R' U2)(RB' R'U')(R U R B R2' U)
三角
三棱换
16.(R2'u' R U'R)(U R' u)(R2fR'f')
17.(R U R')y'(R2' u' R U')(R' U R' u R2)
18. (R2 u)(R' UR'U')(R u') (R2'F'UF)
30
(fRU)(R2U'R'UR2U'R'f')
31
(r'F'UF)
(L F'
L' U' r)
32
(RU)(B'U')(R' U R B R')
33
(R U R'U')
(R' F R F')
34
(R'U'R U)
y(r U R'U')r' R
35
R U'U'R2' FR F'(R
U'U'R')
36 R'U'R U'
L2F L'
51
f (R U R'U')2f'
52
R'U' RU' R'd
R' UlU
53
(r' U2)
(R U R'U')
(R UR'U)
r
54
(r U'U')
(R'U' R U
R'U')
(R U' r')
55
(R U'U')
(R'2U')
R U'R'U2
(F R F')
56
F (RUR'U')(R F')(r U
r
6
(rU'U')
(R'U' RU'r')
7
rU
R'UR
U'U'r'
8
r'U' R
U' R'U2r
9
(R' U' R) y'x' (RU')(R'F)
(R U R')
10
(R U
R'U)(R'F
RF')
(RU'U'R')
11
r'(R2 U R' U)(RU'U'R'U)
(r R')
12
(r R'2U' R U')(R' U2 R U' R)r'
x(U'R'U RU'U')
10'.z(U'R U' l')z(R' U R'U')(l R)
(U' R' U R U)
邻角邻棱换
12.z(U'RD')(R2 U R'U' R2 U)z'(R U')
13.(R U R'F')(RU R'U')(R'F R2U'R'U')
14.(R' U2)(R U'U')(R' F R U R'U')(R'F' R2U')
19.(R' d' F)(R2 u)(R' U)(R U' Ru' R2)
对角
对棱换
20.z(R'U R')z'(R U2L' U R')
z(U R')z'(R U2L'U R')
21.z(U'RD')(R2U R'U')z'(R U R')
z(R2 U R')z'(R U')
说明
符号系统：RLUDFB，rludfb(转两层)如u就是上两层顺时针转90度
(R' F
R F')
19
(r' R U)(R U R' U' r)
(R'2 F R F')
20
r'(R U)
(R U R'U' r2)(R2'U) (RU') r'
21
(R U'U')
(R'U'
R UR' U')
(RU' R')
22
R U'U'
(R'2U')
(R2U')
R'2U'U'R
23
(R' U2)
R' U R)b
10
(L U L')
y'
(R'F R F')
(R U2 R')
42
(R'U2)(R U R' U R2)y(R U R' U')F'
29
x'(U'RU')
x(R'2U)
(RUR'U')
x'RU'U'
蓝色的OLL为
西安魔友“我是海”提供
PLL公式及手法Gan
棱换
01.(R U' R)(U R U R)(U' R'U' R2)
R'UR U
lU'R'U
37
F(RU'
R'U'R U)
(R' F')
38
(R U R'U)
(RU'R'U')
(R'F RF')
39
(rU' r'U' r)y(R U R'f')
40
(R' F R U R'U')
(F' U R)
41
R U' R' U2 RUyRU' R'U' F'
42
(r' R2)y
y' (R'U' R)
(d R'U' R U')(R'U' R)
y’(RU’U’)R’2U’R2U’R’
U'(RU'U'R' d)(R'U'R)
y' (R' U)(R d'U’)(R U R')
U' (RU’U')(R' U2)(R U' R')
U'(R U R' U')(RU'U' R')
UR U' R'
13
(rU'r'
U')(r U r')
(F' U F)
14
R' F R U
R' F'R
(FU' F')
15
(r'U'r)
(R'U'R U)
(r'U r)
16
(r U r)'
(R U
R'U')
(rU' r')
17
(R U R' U)
(R' F R F'U2)
R' F R F'
18
F (R U R'd)(R' U2)
09.U'(R'U RU' R'2 b')x(R'U R)y'(R U R'U' R2)
10.(R' U R'U')yx2(R' U R'U'R2)xz'(R'U'R U R)
11.F(RU'R'U')(R U R' F')(R U R'U')(R' F R F')
09'.z(R U R'U'RU'U')(x'z')(R U R'U')
(R U R' U')(RU'U' R' U')(R U R')
(R U' R U)y(R U' R' F2)
y'(R'U' R U)(R'U' R)
(R U'R' U)(R U' R')
(RU'R'U)(RU'U'R'U)(RU'R')
R2 y(R U R'U')y'(R' U R')
y' (R' U)(RU')(R' U R)