魔方口决
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/10 18:23:42
魔方口决
为了记录下复原、转乱的过程或公式的步骤,会用Singmaster符号来书写(由David Singmaster发明).书写方式如下: F、B、L、R、U、D分别代表前、后、左、右、上、下层. 若是顺时钟旋转,则直接写上符号;若是逆时钟旋转,则在符号后加上“'”或是“i”;若是旋转半圈,则在符号后加上“2”或是“²”. 若要更加详细纪录整个过程,还会使用以下符号: x、y、z分别代表将整个魔方做R、U、F,因为在速解魔方的时候,并不会总是将一个面朝向自己. f、b、l、r、u、d分别代表前、后、左、右、上、下两层,代表连中间层一起转. M、E、S代表旋转中间层,相当于l'L、d'D、f'F.在最少步骤还原的比赛中,规定: x、y、z不记步数. F、B、L、R、U、D旋转90°或180°都算做一步. M、E、S旋转90°或180°都算做两步.
OLL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)
r 6
(r U'U')
(R' U' R U' r') 7
r U
R' U R
U'U' r' 8
r' U' R
U' R' U2 r 9
(R' U' R) y' x' (R U')(R'F)
(R U R') 10
(R U
R'U)(R'F
R F')
(RU'U'R')
11
r'(R2 U R' U)(R U'U' R' U)
(r R') 12
(r R'2 U' R U')(R' U2 R U' R)r' 13
(r U' r'
U')(r U r')
(F' U F) 14
R' F R U
R' F'R
(F U' F') 15
(r' U' r)
(R'U'R U)
(r' U r) 16
(r U r')
(R U
R' U')
(r U' r') 17
F(U R'
U'F ')U
(F R2 U R'U'F ') 18
F (R U R' d)(R' U2)
(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) (R U') r'
21
(R U'U')
(R' U'
R U R' U')
(R U' R') 22
R U'U'
(R'2 U')
(R2 U')
R'2 U' U'R 23
(R2 D')
(R U'U')
(R' D)
(R U'U' R) 24
(r U R' U')
(r' F R F') 25
F'(r U
R' U')
(r' F R) 26
R U' U'
R' U'
R U' R' 27
R' U2 R U
R' U R 28
(r U R' U')
(r' R U)
(R U' R') 29
(r U R' U')(R r'2 F R F')
(r R') 30
(R2 U R' B')(RU')
(R2' U)
(R B R')
31
(r' F' U F)
(L F'
L' U' r) 32
(R U)(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' F R F'(R
U'U'R') 36 R'U'R U'
R'U R U
l U'R'U 37
F (R U'
R'U'R U)
(R' F') 38
(R U R'U)
(RU'R'U')
(R'F R F') 39
(r U' r' U' r)y(R U R' f') 40
(R' F R U R'U')
(F' U R)
41
R U' R' U2 R U y R U' R' U' F' 42
(R'U R U'U'R'U')(F'U)(F U R) 43
(B' U')
(R' U R B) 44
f (R U
R' U')f' 45
F (R U R' U') F' 46
(R' U')
R' F R F'
(U R) 47
B'(R' U'
R U)2 B 48
F (R U R' U')2 F' 49
R B'(R2 F)(R2 B)
R2 F' R 50
L'B (L2 F')(L2B')
L2 F L'
51
f (R U R' U')2 f' 52
R'U' R U' R' d
R' U l U 53
(r' U2)
(R U R'U')
(R U R'U)
r 54
(r U'U')
(R' U' R U
R' U')
(R U' r') 55
(R U'U')
(R'2 U')
R U' R'U2
(F R F') 56
F (R U R'U')(R F')(r U
R'U')r' 57
(R U R' U' r)(R' U)
(R U' r') 对标记有问题请到最后页去看标记说明.
42’
(r' R2)y
(R U R' U')
y' (R' U R')r 47’
b' U'
(R' U R U'
R' U R)b
10’
(L U L')
y'
(R'F R U')
(R' F ' R) 5’
(l' U2)
(L U L' U l) 6’
l U2
L' U' L U' l' 3’
(r' R2 U R' U)(r
U2 )(r' U r R') 12’
F (R U R' U') y L' F (R U R' U') F' 13’
l U' R' F'
R U l'
y R' U R
PLL手法 Gan
棱换
01.(R U' R)(U R U R)(U' R' U' R2)
02.(R2' U)(R U R' U')(R' U')(R' U R')
03. M2 U M2 U2 M2 U M2
04.(U R'U')(R U'R)(U R U')(R'U R U)(R2 U')(R'U)
01'. (R2 U')(R' U' R U R U)(R U 'R)
02'. (R' U R' U')(R' U')(R' U)(R U R'2)
角换
05. x' R2 D2(R' U' R)D2(R' U R')
06. x'(R U' R)z'(R'2 U' L U R2' x y R2)
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)(R2 U' R' U')(R U R' F')
09. U'(R'U R U' 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(R U'R' U')(R U R' F')(R U R' U')(R' F R F')
09'. z(R U R' U' R U ' U')(x' z')(R U R'U')
x(U'R'U R U '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' R D')(R2 U R' U' R2 U)z'(R U')
13.(R U R'F')(R U R'U')(R'F R2 U'R'U')
14.(R' U2)(R U'U')(R' F R U R' U')(R'F' R2 U')
15. (R U'U')(R' U2)(R B' R' U')(R U R B R2' U)
三角
三棱换 16. (R2' u' R U' R)(U R' u)(R2 f R' f')
17. (R U R')y'(R2' u' R U')(R' U R' u R2)
18. (R2 u)(R' U R' U')(R u') (R2' F' U F)
19. (R' d' F)(R2 u)(R' U)(R U' R u' R2)
对角
对棱换
20. z(R' U R')z'(R U2 L' U R')
z(U R')z'(R U2 L' U R')
21. z(U'R D')(R2 U 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
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
(R U'U' R' U)2 y'(R' U' R)
(U R U' R' U') y'(R' U R)
(R' F' RU)(R U' R' F)
U’(F’RUR’U’)(R’FR)
(R U R' U')(R U'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)(R U'U' R'U)(RU'R')
R2 y(R U R' U')y'(R' U R')
y' (R' U)(R U')(R' U R)
(R U R' U' )(R U R')
(R U R' U')2 (R U R')
(R U' R') y’ (R' U2 R)
y' (R' U2)(R U R' U')R
y' U'(R' U2)(R U' R' U)R
y'(R' U R U'U')(R' U' R)
y' (U2 R2' U2)(R U R' U R2)
(R U R'U)(R U'U' R'd)(R'U R)
(R U R')U2(R U R' U')(R U R')
(R U' R' U2)(R U R')
U(R U’U’)(R' U R U' )R'
(R U’U’)(R' U' R U)R'
U'(R U')(R' U2)(R U' R')
U' (R U R') d (R' U' R)
d (R' U R U')(R' U' R)
y' (R' U' R)
(d R' U' R U')(R' U' R)
y’ (R U’U’)R’2 U’ R2 U’ R’
U'(R U'U' R' d)(R'U'R)
y' (R' U)(R d' U’)(R U R')
U' (R U’U')(R' U2)(R U' R')
U'(R U R' U')(R U'U' R')
U R U' R'
U' (R U'U’ R' U)(R U R')
d (R' U' R) d' (R U R')
y' U' (R' U R)
(d R' U' R U'U')(R' U R)
d (R' U2)(R U'U’)(R' U R)
(R U' R' U)(d R' U' R)
(R U')(R' U)(R U')(R' U2)(R U' R')
U'(R U R' U)(R U R')
(R U R')
U' (R U' R' U)(R U R')
OLL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)
r 6
(r U'U')
(R' U' R U' r') 7
r U
R' U R
U'U' r' 8
r' U' R
U' R' U2 r 9
(R' U' R) y' x' (R U')(R'F)
(R U R') 10
(R U
R'U)(R'F
R F')
(RU'U'R')
11
r'(R2 U R' U)(R U'U' R' U)
(r R') 12
(r R'2 U' R U')(R' U2 R U' R)r' 13
(r U' r'
U')(r U r')
(F' U F) 14
R' F R U
R' F'R
(F U' F') 15
(r' U' r)
(R'U'R U)
(r' U r) 16
(r U r')
(R U
R' U')
(r U' r') 17
F(U R'
U'F ')U
(F R2 U R'U'F ') 18
F (R U R' d)(R' U2)
(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) (R U') r'
21
(R U'U')
(R' U'
R U R' U')
(R U' R') 22
R U'U'
(R'2 U')
(R2 U')
R'2 U' U'R 23
(R2 D')
(R U'U')
(R' D)
(R U'U' R) 24
(r U R' U')
(r' F R F') 25
F'(r U
R' U')
(r' F R) 26
R U' U'
R' U'
R U' R' 27
R' U2 R U
R' U R 28
(r U R' U')
(r' R U)
(R U' R') 29
(r U R' U')(R r'2 F R F')
(r R') 30
(R2 U R' B')(RU')
(R2' U)
(R B R')
31
(r' F' U F)
(L F'
L' U' r) 32
(R U)(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' F R F'(R
U'U'R') 36 R'U'R U'
R'U R U
l U'R'U 37
F (R U'
R'U'R U)
(R' F') 38
(R U R'U)
(RU'R'U')
(R'F R F') 39
(r U' r' U' r)y(R U R' f') 40
(R' F R U R'U')
(F' U R)
41
R U' R' U2 R U y R U' R' U' F' 42
(R'U R U'U'R'U')(F'U)(F U R) 43
(B' U')
(R' U R B) 44
f (R U
R' U')f' 45
F (R U R' U') F' 46
(R' U')
R' F R F'
(U R) 47
B'(R' U'
R U)2 B 48
F (R U R' U')2 F' 49
R B'(R2 F)(R2 B)
R2 F' R 50
L'B (L2 F')(L2B')
L2 F L'
51
f (R U R' U')2 f' 52
R'U' R U' R' d
R' U l U 53
(r' U2)
(R U R'U')
(R U R'U)
r 54
(r U'U')
(R' U' R U
R' U')
(R U' r') 55
(R U'U')
(R'2 U')
R U' R'U2
(F R F') 56
F (R U R'U')(R F')(r U
R'U')r' 57
(R U R' U' r)(R' U)
(R U' r') 对标记有问题请到最后页去看标记说明.
42’
(r' R2)y
(R U R' U')
y' (R' U R')r 47’
b' U'
(R' U R U'
R' U R)b
10’
(L U L')
y'
(R'F R U')
(R' F ' R) 5’
(l' U2)
(L U L' U l) 6’
l U2
L' U' L U' l' 3’
(r' R2 U R' U)(r
U2 )(r' U r R') 12’
F (R U R' U') y L' F (R U R' U') F' 13’
l U' R' F'
R U l'
y R' U R
PLL手法 Gan
棱换
01.(R U' R)(U R U R)(U' R' U' R2)
02.(R2' U)(R U R' U')(R' U')(R' U R')
03. M2 U M2 U2 M2 U M2
04.(U R'U')(R U'R)(U R U')(R'U R U)(R2 U')(R'U)
01'. (R2 U')(R' U' R U R U)(R U 'R)
02'. (R' U R' U')(R' U')(R' U)(R U R'2)
角换
05. x' R2 D2(R' U' R)D2(R' U R')
06. x'(R U' R)z'(R'2 U' L U R2' x y R2)
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)(R2 U' R' U')(R U R' F')
09. U'(R'U R U' 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(R U'R' U')(R U R' F')(R U R' U')(R' F R F')
09'. z(R U R' U' R U ' U')(x' z')(R U R'U')
x(U'R'U R U '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' R D')(R2 U R' U' R2 U)z'(R U')
13.(R U R'F')(R U R'U')(R'F R2 U'R'U')
14.(R' U2)(R U'U')(R' F R U R' U')(R'F' R2 U')
15. (R U'U')(R' U2)(R B' R' U')(R U R B R2' U)
三角
三棱换 16. (R2' u' R U' R)(U R' u)(R2 f R' f')
17. (R U R')y'(R2' u' R U')(R' U R' u R2)
18. (R2 u)(R' U R' U')(R u') (R2' F' U F)
19. (R' d' F)(R2 u)(R' U)(R U' R u' R2)
对角
对棱换
20. z(R' U R')z'(R U2 L' U R')
z(U R')z'(R U2 L' U R')
21. z(U'R D')(R2 U 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
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
(R U'U' R' U)2 y'(R' U' R)
(U R U' R' U') y'(R' U R)
(R' F' RU)(R U' R' F)
U’(F’RUR’U’)(R’FR)
(R U R' U')(R U'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)(R U'U' R'U)(RU'R')
R2 y(R U R' U')y'(R' U R')
y' (R' U)(R U')(R' U R)
(R U R' U' )(R U R')
(R U R' U')2 (R U R')
(R U' R') y’ (R' U2 R)
y' (R' U2)(R U R' U')R
y' U'(R' U2)(R U' R' U)R
y'(R' U R U'U')(R' U' R)
y' (U2 R2' U2)(R U R' U R2)
(R U R'U)(R U'U' R'd)(R'U R)
(R U R')U2(R U R' U')(R U R')
(R U' R' U2)(R U R')
U(R U’U’)(R' U R U' )R'
(R U’U’)(R' U' R U)R'
U'(R U')(R' U2)(R U' R')
U' (R U R') d (R' U' R)
d (R' U R U')(R' U' R)
y' (R' U' R)
(d R' U' R U')(R' U' R)
y’ (R U’U’)R’2 U’ R2 U’ R’
U'(R U'U' R' d)(R'U'R)
y' (R' U)(R d' U’)(R U R')
U' (R U’U')(R' U2)(R U' R')
U'(R U R' U')(R U'U' R')
U R U' R'
U' (R U'U’ R' U)(R U R')
d (R' U' R) d' (R U R')
y' U' (R' U R)
(d R' U' R U'U')(R' U R)
d (R' U2)(R U'U’)(R' U R)
(R U' R' U)(d R' U' R)
(R U')(R' U)(R U')(R' U2)(R U' R')
U'(R U R' U)(R U R')
(R U R')
U' (R U' R' U)(R U R')