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Белорусский национальный технический университет

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☆

Andy Klise’s Speedcubing Guide

Algorithms by Dan Harris

First 2 Layers

These are just optimal example solves, F2L should be solved intuitively

Corner piece is correctly inserted and oriented

Solved Pair

d' (L' U L) d (R U' R')

d' Lē d Re

(R U' R') d (R' U2)(R U2')(R' U R) Re d (R' U2) Ri U R

U (R U' R') d' (L' U L)

U Re d' Lē

Corner piece inserted correctly

but twisted clockwise

but twisted anti-clockwise

(R U' R') U' (R U R') U2 (R U' R')

(R U' R' U)(R U2' R') U (R U' R')

Re U' Ra U2 Re

Ru Ri U Re

(R U' R')

(R' U' R U')(R' U' R)

(R U' R')

(R' U' R U')(R' U R)

Re d Rō Rā

Re d2 y Rō Rē

(R U' R' U)(R U' R')

(R U R' U')(R U R')

Ru Re

Rak U' Ra

(R' U' R U)(R' U' R)

(R' U R U')(R' U R)

Rāk U Rā

Rū Rē

Corner piece in the U layer and the Cross color on the U face

(R U R' U')(R U R' U')(R U R')

U' R')

(R' U R)

Rak U' Rak U' Ra

Rē

(R U2 R') U' (R U R')

y' (R' U2 R) U (R' U' R)

Ri U' Ra

y' Rī U Rā

(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)

U2 Ro Re

y' U2 Rō Rē

U (R U2 R') U (R U' R')

y' U' (R' U2 R) U' (R' U R)

U Ri U Re

y' U' Rū U' Rē

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

(R' U2)(R2' U)(R2' U R) Ru Ru U Re

U' (R U R' U)(R U R')

U' Ro Ra

(R U R')

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)

d Rā U2' Rē

d (R' U2)(R U2')(R' U R)

d Rī 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

Universal Orient Last Layer

	For Three Look Last Layer
F U R U' R' F'	F R U R' U' F'
F U Re F'	F Rak F'
F (R U R' U') F'	f (R U R' U') f'
F Rak F' f Rak f'	Move to Second Look

S (R' U' R U) R U R U' R' S'

Orient Last Layer

With color coding and some algorithms from Joël van Noort

Green = R U R' U', Blue = R U R' U Family, Orange = removing and inserting corner-edge pair (watch F2L) If the coloring is confusing, please ignore it or go to Joël's page for more information

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

(R U2')(R2' U' R2 U' R2' U2 R)

x (R' U' L U)(R U')(L' U)

(R2' D)(R' U2)(R D')(R' U2 R')

R2' D Rī D' (R' U2 R')

(R U R' U R U' R' U R)(U2 R')

Ro Ru Ri

(R' F)(R B')(R' F')(R B)

Solved

No Edges Flipped Correctly

(R U2')(R2' F)(R F' U2 R' F R F')

(R U)(B' l U l' R')(U' R' F R F')

(F R U R' U' F')(f R U R' U' f')

F Ra U' F' f Ra U' f'

(l U' R' U) F2 (R U' R' U2) F2 U'

f (R U R' U') f' U' F (R U R' U') F

f Ra U' f' U' F Ra U' F

[U] r' (R2 U R' U)(r U2 r')(U R' r)

[U2](L U2') x (L U' L' U) y' (L U)(L U')(L F')

f (R U R' U') f' U F (R U R' U') F

f Ra U' f' U F Ra U' F

(R' U2) x (R' U R U') y (R' U')(R' U R' F)

(r' U2)(R U R' U)(-r2-U2)(R' U' R U') r	(r U R' U)(R U2)(-r2'-U' R U')(R' U2 r)
r' U2 Ro-r2-U2 Rō r	r U Rō U2-r2'-U' Re U2 r
[U2](R U2') B' (R' U' R U) y (R2 z R2 z') x (R' U')	[U2] F (R U R' U) y' (R' U2) x (R' U)(R U')

(R U R' U)(R' F R F' U2)(R' F R F')	(r' R U)(R U R' U')(r2 R2' U)(R U' r')
Ro R' F R F' U2)(R' F R F')	r' R U Ra U' r2 R2' U (R U' r')
[U'](R' F R) y' (R' U2)(R' d)(R' U R B)	(z S' U')(R' U)(R U)(R U R' U')(S z')

L Shapes

F (R U R' U'-R U R' U') F'	F' (L' U' L U-L' U' L U) F
F (Ra U'-Ra U') F'	F' (Lā U-Lā U) F

R B' R2' F R2 B R2 F' R

[U2] (l' U R')(U' R l) d2 y' (l' U R U') [U2] (R' F R' F' R2) U2 (B' R B R')

R' F R2 B' R2' F' R2 B R'

[U2] (l U' R)(U R' l') d2 y (l U' R' U)

(r' U')(R U')(R' U)(R U')(R' U2) r	(r U)(R' U)(R U')(R' U)(R U2') r'
(r' U') Re U Re U2 r	(r U) Rē U' Rē U2' r'

I Shapes

(R' U2)(R2' U)(R' U R U2') x' (U' R' U)

(R' U2)(R2' U)(Rē U2') x' (U' R' U)

F U (R U' R'-U)(R U' R') F'

F U (Re-U) Re F'

[U] L d (R U')(R' U)(R U')(R' F')

(R U R' U) R d' (R U' R') F'

(Ra U) R d' Re F'

(R' U')(R U' R')(d)(R' U R B)

(r' U' r) U' (R' U R-U')(R' U R)(r' U r)

(r' U' r) U' (Rē-U') Rē (r' U r)

(L' B' L U')(R' U R U' R' U R)(L' B L) F (R U R' U' R) y' (R' F)(R B')(R' F')

T-Shapes

	F (R U R' U') F'	(R U R' U')(R' F R F')
		(Ra U')(R' F R F')
	F (Ra U') F'
		(R U R' U')(x R' U R U')

Corners Correct, Edges Flipped

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

Ra U' r Rū r'

(L' R U R' U' r)(R' U)(R U')

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

(r U R' U') r' R U Re

[U2] (r R' U R r') U2 (r R' U R r') (x U R' U' R)(r' U)(R U' R') L

Knight Move Shapes

(R' F R U)(R' F' R) y' (R U' R')

(R' F R U)(R' F' R) y' Re

(R' F R U)(l' U' l) y' (R U' R')

(L F L')(R U R' U')(L F' L')

(L F L')(Ra U')(L F' L')

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

x' (R U' R' F')(R U R') x y (R' U R)

x' (R U' R' F') Ra x y Rē

(L' B' L)(R' U' R U)(L' B L)

(L' B' L)(Rā U)(L' B L)

(R' F' R)(L' U' L U) (R' F R)

Lightning Bolts

2	(r' U' R U')(R' U2 r)
(r U R' U R U r')	r' U' Re U	2	r
r U Rē U2 r'
[U'] x' D (R U' R)(U R2') D'	[U2] (l' U' L U' L' U2' l)
	[U] B' (l' U R' U' R l) B


(r R2 U' R U')(R' U2)(R U' R r')	(r' R2 U R' U)(R U2')(R' U R' r)
r R2 U' Re U2 Rat r'	r' R2 U Rē U2' (R' U R' r)
[U2] (r' U')(R U' l U')(R' U l')(U2' r)	[U2] (r U)(R' U l' U)(R U' l)(U2' r')
[U2] (r' U' R U') x' (R U' R' U) x (R' U2 r)	[U2] (r U R' U)(R' F R F') (R U2' r')

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

(R' F Ra U')(F' U R)

(R' F R U R' U') y (L' d R) R' F (R U R' U') F' U R

(L F' L' U' L U F U' L')

(L F' Lā U F U' L')

[U2] (x' R U' x)(R' U' R U) y (R U') F'

Fish Shapes

(R' U' R) y' x' (R U')(R' F)(R U R')

Rā y' x' Re F Ra

(R U2')(R2' F R F')(R U2' R')

[U'] (R' U2)(l R U')(R' U l')(U2' R)

(R U R') x z' (R' U)(R B')(R' U' R)

Ra x z' Rē B' Rā

(R U R' ) y (R' F R U') (R' F' R)

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

(F R' F' R) U Re

[U'] x' (R U')(R' U) y' (R U R' U')

Awkward Shapes

(R' F R F')(R U2' R') d' (L' U' L)

R' F R F' Ri d' Lā

[U2] (x' U')(R U')(R2' F) x (R U R' U' R) B2

F U (R U' R') F' (R' U2) (R U R' U R)

F U Re F' Rī U Rē

[U2](R U2')(R' U' R U' R2) y' (R' U' R U B)

(R2' U R') B' (R U')(R2' U R B R') l U l'

(R' U2)(R U R' U R2') y (R U R' U' F')

(R' U2)(Ra U R2') y (Ra U' F')

Squares

	(r U2)(R' U' R U') r'	(r' U2)(R U R' U r)
	(r U2) Rō r'	(r' U2)(Ro r)
	[U'] (L F2')(R' F' R F' L')	[U] (R' F2')(L F L' F R)
	[U'] x' D (R2 U')(R' U R') D'	[U] B' (R' l' U)(R U' l) B
C-Shapes

	(R U) x' (R U')(R' U) x (U' R')	(R U R' U') x D' (R' U R) U' D
		E
	(R U) x' Re U x (U' R')
		(Re U') x D' Rē U' D

P-Shapes

(L U F' U')(L' U L) F L'

(L U F' U') Lē F L'

(R d)(L' d')(R' U R B R')

(R' F R F') d' (L' U' L U)(L' U L)

F U (R U' R') F'

F U Re F'

[U'] (R d)(L U' L' B')

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

(R' U' F U) Re F' R

(R' d')(L d)(R U' R' F' R)

F' U' (L' U L) F

F' U' Lē F

[U] (L' d')(R' U R B)

W-Shapes

(R U R' U)(R U' R' U')(R'	F	R	F')	(R' U' R U' R' U)(R U)(R	B')(R'	B)
(Ra U)(Re U')(R' F R F')				Rā U' Rē U (R B)(R' B')
[U']F (R U R2' U') y' (R' U R B R')				(R' U' R U' R' U)(R U)(l U')(R' U)

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

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'

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

Swap One Set of Adjacent Corners

(L U2')(L' U2)(L F')(L' U' L U)(L F L2' U)

(L U2') Lī F' Lāk (L F L2' U)

Probability = 1/18

(R U')(L' U)(R' U2)(L U')(L' U2' L)

(R U')(L' U R') U2 Lā U2' L

Probability = 1/18

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

Rak (R' F)(R2 U')(Rāk R' F')

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

(R' U R' U') x2 y' (R' U R' U') l Ru R U

Probability = 1/18

[(L U') R U2 (L' U) R']*2 U'

[U'] [R' U L' U2 R U' L]*2 U' Probability = 1/72

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

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

Rī U2' (R' F) Rak (R' F' R2 U')

Probability = 1/18

(L' U)(R U')(L U2)(R' U)(R U2' R')

(L' U)(R U' L) U2 Rē U2' R'

Probability = 1/18

(R' U R U') R2 y' (R' U' R U) y x (R U R' U') R2 B'

Rū R2 y' Rāk y x Rak R2 B'

Probability = 1/18

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

F (R U') Rāk R' F' Rak (R' F R F')

Probability = 1/18

[(R' U) L' U2 (R U') L]*2 U

[U'] [L U' R U2 L' U R']*2 U' 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		
(R U R') y' (R2	u')(R U')(R' U)(R'	u) R2
Ra y' (R2 u') Ru (R' u) R2
Probability = 1/18		

(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	
Probability = 1/18

Notation

R'	r'		L	L
U'	u'		D	d
F	f		B'	b'
		Nathan Christie’s
M	m	Modified Notation
		Xa - (X U X')	Yā - (Y' U' Y)
		Xak - (X U X' U') Xāk - (X' U' X U)
E	e	Xe - (X U' X')	Yē - (Y' U Y)
		Xi - (X U² X')	Yī - (Y' U² Y)
		Xo - (X U X' U)	Yō - (Y' U' Y U')
S	s	Xu - (X U') (X' U) Yū - (Y' U) (Y U')
		y
	U
L F	R	B
		z	x

Credits

Dan Harris - http://www.cubestation.co.uk/

Joël van Noort - http://solvethecube.110mb.com/

Nathan Christie - http://my.fit.edu/~dchristi/cube/

And everyone else

For more guides just like this, visit my website -

http://kungfoomanchu.110mb.com/main.htm

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