Шпаргалки / andy-klise-3x3x3-speedcubing-guide-single-page
.pdf
Andy Klise's Speedcubing Guide
Algorithms by Dan Harris
First 2 Layers
These are just optimal example solves, F2L should be solved intuitively. Stars mark uncomplicated cases.
Corner piece is correctly inserted and oriented
Solved Pair |
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(R U' R') d (R' U2)(R U2')(R' U R) |
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Re d (R' U2) Ri U R |
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d' (L' U L) d (R U' R') |
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U (R U' R') d' (L' U L) |
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d' Lē d Re |
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U Re d' Lē |
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Corner piece inserted correctly |
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Corner piece inserted correctly |
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but twisted clockwise |
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but twisted anti-clockwise |
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(R U' R') U' (R U R') U2 (R U' R') |
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(R U' R' U)(R U2' R') U (R U' R') |
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Re U' Ra U2 Re |
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Ru Ri U Re |
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(R U' R') |
d |
(R' U' R U')(R' |
U' |
R) |
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(R U' R') |
d2 |
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y |
(R' U' R U')(R' |
U |
R) |
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Re d Rō Rā |
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Re d2 y Rō Rē |
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(R U' R' U)(R U' R') |
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(R U R' U')(R U R') |
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Ru Re |
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Rak U' Ra |
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y' |
(R' U' R U)(R' U' R) |
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y' |
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(R' U R U')(R' U R) |
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y' Rāk U Rā |
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y' Rū Rē |
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Corner piece in the U layer and the Cross color on the U face |
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(R U R' U')(R U R' U')(R U R') |
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(R |
U' R') |
d |
(R' U R) |
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Rak Rak Ra |
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Re d Rē |
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(R U R') U2 (R U R') U' (R U R') y' (R' U' R) U2 (R' U' R U)(R' U' R)
Rak U' Rak Ra |
y' Rāk U Rāk Rā |
(U2 R2' U2)(R' U' R U') R2' |
y' (U2 R2' U2)(R U R' U) R2 |
U2 (R U R' U)(R U' R') |
y' U2 (R' U' R U')(R' U R) |
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U2 Ro Re |
y' U2 Rō Rē |
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U (R U2 R') U (R U' R') |
y' U' (R' U2 R) U' (R' U R) |
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U Ri U Re |
y' U' Rī U' Rē |
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(R |
U2 R') U' (R U R') |
y' (R' U2 R) U (R' U' R) |
Ri U' Ra |
y' Rī U Rā |
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Corner piece in the U layer and the Cross color on the R face
U' (R U2' R') U (R U R')
U' Ri U Ra
d' (R' U2 R) d (R U R')
d' Rī d Ra
U' (R U R' U)(R U R')
U' Ro Ra
(R U R')
Ra
U' (R U' R' U)(R U R')
U' Ru Ra
d (R' U' R) d' (R U R')
d Rā d' Ra
d' (L' U L)
d' Lē
d (R' U' R) U2' (R' U R)
dRā U2' Rē
d(R' U2 R) U2' (R' U R)
dRī U2' Rē
(R U' R' U) d (R' U' R)
Ru d Rā
Corner piece in the U layer and the Cross color on the F face
U' (R U' R') U2 (R U' R')
U' Re U2 Re
y' (R' U R U') d' (R U R')
y' Rū d' Ra
U' (R U2' R') U2 (R U' R')
U' Ri U2 Re
U' (R U R') U2 (R U' R')
U' Ra U2 Re
U (R U' R')
U Re
U' (R U R') d (R' U' R)
U' Ra d Rā
d (R' U R U')(R' U' R)
d Rū Rā
y' (R' U' R)
y' Rā
d (R' U' R U')(R' U' R)
d Rō Rā
U' (R U2' R') d (R' U' R)
U' Ri d Rā
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y |
U |
Nathan Christie’s Modified |
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Notation |
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L F R B |
Xa - (X U X') |
Xā - (X' U' X) |
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Xak - (X U X' U') |
Xāk - (X' U' X U) |
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Xe - (X U' X') |
Xē - (X' U X) |
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Xi - (X U² X') |
Xī - (X' U² X) |
z |
x |
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Xo - (X U X' U) |
Xō - (X' U' X U') |
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D |
Xu - (X U')(X' U) |
Xū - (X' U)(X U') |
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First Step of Orient Last Layer
For Three Look Last Layer
F U (R U' R') F' |
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F (R U R' U') F' |
F U Re F' |
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F Rak U' F' |
Probability = ½ |
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Probability = ¼ |
F (R U R' U') F' |
f (R U R' U') f' |
Move to Second Look |
F Rak F' f Rak f' |
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Probability = 1/8 |
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Probability = 1/8 |
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Second Step of Orient Last Layer
For Three Look Last Layer
All Edges Oriented Correctly (second part of three look last layer)
(R U R' U)(R U2' R') |
(R' U' R U')(R' U2 R) |
Ro Ri |
Rō Rī |
Probability =4/27 |
Probability =4/27 |
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(R U2')(R2' U' R2 U' R2' U2 R)
Probability =4/27
x (R' U')(L U)(R U')(L' U)
Probability =4/27
(R2' D)(R' U2)(R D')(R' U2 R')
Probability =4/27
(R U R' U)(R U' R' U)(R U2 R')
Ro Ru Ri
Probability = 2/27
(R' F)(R B')(R' F')(R B)
Probability =4/27
Solved
Probability = 1/27
Notation
R |
R' |
R2 |
Rw/r |
Rw'/r' |
x |
y |
U |
U' |
U2 |
Uw/u Uw'/u' |
z |
M |
Credits
Dan Harris - http://www.cubestation.co.uk/
Nathan Christie - http://my.fit.edu/~dchristi/cube/
Josef Jelinek - http://software.rubikscube.info/icube/
And everyone else
For more guides just like this, visit my website -
http://kungfoomanchu.110mb.com/main.htm
Permute Last Layer
Permutations of Edges or Corners Only
R2 U (F B') R2 (F' B) U R2 |
R2 U' (F B') R2 (F' B) U' R2 |
y' (R2' U)(R U R' U')(R' U')(R' U R') |
y (R2 U')(R' U' R U)(R U)(R U' R) |
Probability = 1/18 |
Probability = 1/18 |
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x(R' U R') D2 (R U' R')(D2 R2)
x(R' U R') D2 Re (D2 R2)
Probability = 1/18
x' F (R U')(R' U)(D R') D U' (R' U R) D2'
x' F Ru U (D R') D U' Rē D2' F
Probability = 1/36
x' (R U' R') D (R U R') u2 (R' U R) D (R' U' R)
x' Re D Ra u2 Rē D Rā
Probability = 1/36
x(R2 D2)(R U R') D2 (R U' R)
x(R2 D2) Ra D2 (R U' R)
Probability = 1/18
(M2 U)(M2 U2)(M2 U) M2
Probability = 1/72
Solved
Probability = 1/72
Swap One Set of Adjacent Corners
(L U2')(L' U2)(L F')(L' U' L U)(L F L2' U) |
(R' U2)(R U2')(R' F)(R U R' U')(R' F' R2 U') |
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(L U2') Lī F' Lāk (L F L2' U) |
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Rī U2' (R' F) Rak (R' F' R2 U') |
Probability = 1/18 |
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Probability = 1/18 |
2 |
2 |
(L' U)(R U')(L U2)(R' U)(R U2') R' |
(R U')(L' U)(R' U )(L U')(L' U ') L |
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(R U')(L' U) (R' U2) Lā U2' L |
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(R U R' F')(R U R' U')(R' F)(R U')(R' U') |
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(L' U)(R U') (L U2) Rē U2' R' |
Probability = 1/18 |
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Probability = 1/18 |
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(R U R' U')(R' F)(R2 U')(R' U' R U) R' F' |
(R' U)(R U') R2 y' (R' U' R U) y x (R U R' U') R2 B' |
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Rak (R' F)(R2 U') Rāk R' F' |
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Rū R2 y' Rāk y x Rak R2 B' |
Probability = 1/18 |
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Probability = 1/18 |
Swap One Set of Corners Diagonally
(R' U R' U') x2 y' (R' U R' U') l (R U' R' U) R U |
F (R U')(R' U' R U)(R' F')(R U R' U')(R' F R F') |
(R' U R' U') x2 y' (R' U R' U') l Ru R U |
F (R U') Rāk R' F' Rak (R' F R F') |
Probability = 1/18 |
Probability = 1/18 |
[(L U') R U2 (L' U) R']*2 U' |
[(R' U) L' U2 (R U') L]*2 U |
Probability = 1/72 |
Probability = 1/72 |
Double Spins
(R2' u)(R' U R' U')(R u') R2 y' (R' U R)
(R2' u) R' U Rā u' R2 y' Rē
Probability = 1/18 |
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(R U R') y' (R2 |
u')(R U')(R' U)(R' |
u) R2 |
Ra y' (R2 u') Ru (R' u) R2 |
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Probability = 1/18 |
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(L2 u')(L U' L U)(L' u) L2 y' (R U' R')
(L2 u') L U' La u L2 y' Re
Probability = 1/18
(L' U' L) y (L2' u)(L' U)(L U')(L u') L2
(L' U' L) y' (R2' u)(R' U)(R U')(R u') R2
Lā y' (R2' u) Rū (R u') R2
Probability = 1/18 |
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