cub2

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Corner Correct, Edge Not Placed

In these cases, the corner is already solved and only the edge needs to beplaced. In Cases #02 and #03, it is sometimes helpful to use a "woring

corner" to place the edge piece. !his means you could rotate the layer sothat an empty corner is under the edge you need to solve, place the edge with a$uic trigger, and finally restore your layer. It is also possible to do this forCase #0% by taing the edge out &with an empty corner', ()*, and thencorrectly placing the edge piece.

# iagram (lgorithm Comments

0%

*+ &+ )- +-' w &+- )2'&+ )-2' &+- ) +'

* &- ) w-' & )-2'&- w2' &+ )- +-'/+ &+- ) + w-' &+ )2'&+- )2' &+ )- +-'/ & )-- w' &- )-2' &)2' &- ) '

eparate the corner from theedge by placing them in the )

layer. 1et, ()* and bring thecorner to the bottom using theempty slot so you can move theedge freely to matchup withthe corner. ()* again andplace the bloc in the slot it

belongs.

02

*+ )4 &+ )- +-' w- &-) '* w4 &+ )- +-' w- &-

) '/+ w4 & )- -' w- &+-) +'/ )4 & )- -' w- &+- )+'

()* so that the edge would"match the center" if youmoved it one turn towards theempty slot. 1et, remove thecorner from the slot to matchthe edge, ()* again, and placethem both together.

03

*+ w-4 &- ) w' &+)- +-'* )-4 &- ) w' &+ )-+-'/+ )-4 &+- ) + w' & )-

-'/ w-4 &+- ) + w' &)- -'

!his is 5ust the mirror of Case#02.

Edge Correct, Corner Slot Free

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In this group, the edge is already solved, but the corner is in the )layer. InCases #06 and #07, it is sometimes useful to use a "woring edge" to place thecorner. !his is very similar to a woring corner method, but you place thecorner using a free edge slot instead.


08

*+ &+ ) +- )-' &+ ) +-)-' &+ ) +-'* &- )- )' &- )- )' &- )- '/+ )-4 &+- )' &+ )-' &+-)' &+ )-' &+- ) +'/ )4 & )-' &- )' & )-'&- )' & )- -'

!his is easy to rememberbecause it is the repetition of avery fast trigger three times.

06

*+ w4 &+- )' &+)2' &+- ) +'* )4 &- )' & )-2' &-) '/+ )4 &+- )' &+ )2' &+-) +'/ w4 &- )' & )-2' &-) '

!o place the corner, you matchthe corner with the edge toform a bloc and place them

both together.

07

*+ )-4 &+ )-' &+- )2' &+)- +-'* w-4 & )-' &-)-2' & )- -'/+ w-4 &+ )-' &+-)2' &+ )- +-'/ )-4 & )-' &- )-2' &)- -'


Corner In First Layer Twisted Clockwise

In this group, the corner is in the first layer and its sticer with the crosscoloris on the *face.


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09

*+ &+-2 )2' &+- )- +)-' &+- )2 +-'* &- )2' &- )- )-' &-)2 2'/+ &+- )2' &+- )- + )-'&+- )2 +-2'/ &2 )2' &- )- )-' &- )2 -'

In this case, the edge is solved,but the corner is not. (common way of solving thisinvolves removing the entirefirst layer, breaing away thecorner to match it with itsedge, and then restoringeverything.

0:

*+ &+ )- + )' y &+ )-' &+-*2'* &- ) ' &* + )-2' &+-*-'/+ &+- ) +' / & )-2 -/-'

/ & )- )' y- &+ )-' &+-*2'

!his is one of the least intuitivecases for the *2. It involves

breaing up the two pieces andrestoring them while the crossis still not yet restored.

0;

*+ )24 &+ )- +-'y &- )-'* &- )- )' &- )- '/+ &+- )- + )' &+- )- +'/ )24 & )- -'y &+- )-+'

In this case, the goal is to getthe corner to be "opposite"from its matching edge andthen placing them bothtogether.

%0*+ &+ )-' &+- )'&+ )- +-'* &- )-2 'y-&+ )2 +-'/+ &+- )2 +'y &+ )2 +-'/ & )-' &- )'& )- -'

In this case, the goal is to forma corneredge bloc and thenplace it in its slot.

Corner In First Layer Twisted Counter-Clockwise

!hese cases are 5ust the mirrors of the group above.


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%%

*+ &+ )-2' &+ ) +- )' &+)-2 +-2'* &2 )-2' & ) - )' &)-2 '/+ &+-2 )2' &+ ) +-)' &+ )2 +'/ & )-2' & ) - )' &)2 -2'


%2

*+ &+ )- +-' &*- - )2' &*'* &- ) - )-' y- &- )' &*-2'/+ &+- ) +- )-' y &- )' &*-2'

/ & )- -' /- &+- )2 +/'

!his is 5ust the mirror of Case#0:.

%3

*+ &+ )2 +-'y- &+- )2 +'* &- )' & )-'&- ) '/+ &+- )' &+ )-'&+- ) +'/ & )-2 -'y &+- )2 +'

!his is 5ust the mirror of Case#%0.

%8

*+ &+ ) +- )-' &+ ) +-'

* )24 &- ) 'y &+ )+-'/+ )24 &+- ) +'y &+ )+-'/ & ) - )-' & ) -'

!his is 5ust the mirror of Case#0;.

Corner In U-Layer With Cross-Color on U-Face

In these cases, the corner-s sticer with the cross color will be on the )face,maing the corner completely "upsidedown" of where it needs to be.


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%6

*+ &+ )- +- w' &+- ) +'* &- ) w-' & )- -'/+ &+- ) + w-' &+ )- +-'

/ & )- - w' &- ) '

!his pair is already connected,so 5ust tae it out of the slot&without losing the edge

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2%

* )24 &-2 )2' & ) -) 2'/+ )24 &+-2 )2' &+ ) +-

) +2'

!his is 5ust the mirror of Case#%9.

22

*+ )4 &+ )-2 +- )' &+ )-+-'* w4 &+ )-2 +- )' &+)- +-'/+ w4 & )2 - )' &)- -'/ )4 & )2 - )' & )--'

!his is 5ust the mirror of Case#%:.

23

*+ &*- - )2' & *'* )24 &- )- )-' &- )'/+ )24 &+- )- + )-' &+-) +'/ /- &+- )2 + /'

!his is 5ust the mirror of Case#%;.

Corner In U-Layer With Cross-Color on -Face

In these cases, the corner-s sticer with the cross color will be on the +face.


28

*+ w4 &+- )- + w-'&+) +-'* )4 &- )- w-'& )-'/+ )4 &+- )- + w-'&+ )

+-'/ w4 &- )- w-'&) -'

In this case, you remove theedge from the second layersuch that it is opposite the

corner, ()*, and place thepair.

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26

*+ w-4 &- ) '* )-4 &- ) '/+ )-4 &+- ) +'

/ w-4 &+- ) +'

!his case is easy to recogni=ebecause the corneredge pair isalready connected and onlyneed to be inserted. It iscommon for many of the *2algorithms to end with thistrigger.

27

*+ w4 &+- )2 +w-' &+ ) +-'* )4 &- )-2 w-' &) -'/+ )4 &+- )2 + w-' &+) +-'/ w4 &- )-2 w-' &

) -'

)se the empty slot to brea upthe pair such that the cornerand edge are opposite eachother and then place the pair.

29

*+ w4 &+- )- + )-2'&+-) +'* )4 &- )- )-2'&- )'/+ )4 &+- )- + )-2'&+-) +'/ w4 &- )- )-2'&-) '

)se the empty slot to form a2%% bloc and place the blocinto the slot in which it

belongs.

2:

*+ w4 &+- ) + w-'&+) +-'* )4 &- ) w-'& )-'/+ )4 &+- ) + w-'&+ )+-'/ w4 &- ) w-'&) -'

!his case is very similar toCase #27.

2;

*+ )-4 &+ )- +- )'&+ )+-'

* w-4 & )- - )'& )-'/+ d-4 &+ )- +- )'&+ )+-'/ w-4 & )- - )'& )-'


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3

0

*+ &+ )-' &+- )2'y- &+- )-+'* &+w- )- +- *' &+ ) +w'

/+ &+- *-' &- ) ' &* +'/ & )-' &- )-2' y &+- )-+'

>ne way of doing this is tobrea up these two pieces andtwist the corner so that the twopieces are opposite each otherand then placing them. !heother way of fiing htis case isto 5ust use the clever algorithmthat doesn-t necessarily havepairup and insertion phases.

3%*+ &+ ) +-'/ & ) -'

?ere, the corner and edge are"opposite" each other and can

be placed with a simple trigger.!he goal of many *2algorithms is to get the corner

and edge into this case andthen solve them with thistrigger.

32

*+ w4 &+- )2 +)-2'&+- ) +'* )4 &- )-2 )2'&- )'/+ )4 &+- )2 + )-2'&+-) +'* w4 &- )-2 )2'&-

) '


Corner In U-Layer With Cross-Color on F-Face

!hese cases are 5ust the mirrors of the group above.


33 *+ )-4 &+ ) +- w'&+-)- +'* w-4 & ) - w'&-)- '/+ w-4 &+ ) +- w'&+-)- +'/ )-4 & ) - w'&- )-


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'

38

*+ w4 &+- ) + )-'&+-)- +'* )4 &- ) )-'&- )-

'/+ )4 &+- ) + )-'&+- )-+'/ w4 &- ) )-'&- )-'

!his is 5ust the mirror of Case#2;.

36

*+ &w ) *-' &- )-w-'* &- )' & )-2'y- &+ )+-'/+ &+- )' &+ )2'y &+ )

+-'/ & *' &+ )- +-' &*- -'

!his is 5ust the mirror of Case#30, with a righthandedoptimi=ation at the * slot.

37* &- )- '/+ &+- )- +'

!his is 5ust the mirror of Case#3%.

39

*+ )-4 &+ )-2 +- )2'&+

)- +-'* w-4 & )2 - )2'&)- -'/ )-4 & )2 - )2'&)- -'/+ w-4 &+ )-2 +-)2'&+ )- +-'


3:

*+ )4 &+ )- +-'* w4 &+ )- +-'/+ w4 & )- -'/ )4 & )- -'


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3;

*+ )-4 &+ )-2 +- w'&+-)- +'* w-4 & )-2 -w'&- )- '/+ w-4 &+ )-2 +-w'&+- )- +'/ )-4 & )-2 - w'&-)- '


80

*+ )-4 &+ ) +- )2'&+ )-+-'* w-4 & ) - )-2'&)- -'/+ w-4 &+ ) +- )2'&+)- +-'

/ )-4 & ) - )-2'& )--'


8%

*+ )-4 &+ )- +- w'&+-)- +'* w-4 & )- - w'&-)- '/+ w-4 &+ )- +-w'&+- )- +'/ )-4 & )- - w'&-)- '

!his is 5ust the mirror of Case#2:.

Corners Correct, Edges Fli!!ed


2: "#$ U #% U& "#$ U #%

!he middle slices should bedone with the left ring fingerfor @- and the left thumb for@. !he &@- ) @' group maytae some getting used to.

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69 " U $ U$% "#$ U U$% w$

!here-s nothing too fancy here.!he finger trics used arepretty common. I do the sliceturn as @- now because I thinit-s a little faster that way.

20

w$ " U% " U $ U$ w&%"&$ U% " U$% w$

?ere, I use the slice as &+w- +'because it flows a little nicer.!his is the least common >case &%A2%7'. !he finger tricshere are pretty simple.

'll Edges Fli!!ed Correctly

*or most of these cases, I instead use some C>cases, which orients (1permutes the corners, so %A%2 of the time you will be left with a solved cubeand the other %%A%2 of the time you will be left with an easy &fast' cycle ofedges.


23"&$ (% "$ U&% " ($% "$ U&$%

!his is one of the mostawward >s with allcorrectly flipped edges. It-s still

pretty fast, though.

28

"Lw$ U$% "L U% " U$% "w$ F%

!his one is pretty fast. !he onlyproblem is that you have toalternate hands a couple times.I recommend being able to dothe mirror of this case as well.

26 "$ F% " )$% "$ F$% " )%

!his algorithm is ridiculouslyfast. ?old your thumb on the

bottom of the cube and left

middle finger holding the layer on the upper face. It helpsto use your wrist of your lefthand to assist in some of theturns.
http://www.cubewhiz.com/coll.phphttp://www.cubewhiz.com/coll.php

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29 " U $ U% " U& $%

!his is the une. Bour righthand should never come off ofthe cube during the eecutionat any time.

27

" U&% "$ U$ U$ $%!his is 5ust the inverse of theune, called the (ntisune.

22

" U&$% "&$ U$% "& U$% "&$U&$ %

!he eecution of this algorithmis pretty neat. !he +2 turnsshould alternate in direction sothat they can be performed bythe right hand without lettinggo of the cube. !he left hand

holds the cube and maes the)- turns.

2%" U&% "$ U$ U $ U$ U$$%

!his is a very easy case. !hiscan be performed as a doubleune or double (ntisune. Irecommend learning the C>cases for this one as well sincethere are only four cases.

No Edges Fli!!ed Correctly


3Fw " U $ U$% Fw$ U$ F "U $ U$% F$

!his is a clever combination ofthe two si move >s.

8Fw " U $ U$% Fw$ U F " U$ U$% F$

!his is another combination ofthe two si move >s.

%9" U $ U% "$ F F$% U& "$F F$%

!his one is very fast. ach of thethree triggers should belightning fast.

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%;w$ " U% " U $ U$ w% *"&$ U% " U$%

!his alg is the same as the "D"orientation ' ecept with aslight modification.

%:

F " U $ U% y$ "$ U&% "$ F F$%

!his case has a couple of fasttriggers in it.

2F " U $ U$% S " U $ U$%Fw$

!his algorithm is 5ust the easy !orientation followed by the easyEorientation.!he can tae alittle getting used to.

%" U&% "&$ F F$% U&$ "$

F F$%

!his is 5ust &+ )2 +-' followed by

a couple of sledgehammers.

+T+ sha!es


33 " U $ U$% "$ F F$%

!his orientation maes up thesecond half of the B

permutation. /oth triggers arelightning fast, so this shouldeasily be sub% second.

86

F " U $ U$% F$

!his is the $uicest andshortest > case. I use the leftinde for the )- and the rightthumb for the *-.

+P+ Sha!es


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88

Fw " U $ U$% Fw$

!his is very similar to the easy! orientation V' ecept witha double layer turn instead of

5ust *. It is helpful to now theinverse to avoid a )2 before thealg.

83 Fw$ "L$ U$ L U% Fw

!his is 5ust the mirror of >#88. I also recommend beingable to perform this alg from a)2.

32" (w% "L$ (w$% "$ U% "LwU Lw$%

!here should be a nice balancebetween both hands inperforming this algorithm.

3% "$ U$% F "U U$ $% F$

!his is 5ust the mirror of >#32, but I don-t perform it assuch. Instead, I do analgorithm that contains theinverse of the easy ! orienationin it.

+W+ Sha!es


3:

" U $ U% " U$ $ U$% "$ F F$%

!here-s nothing difficult aboutany of these three triggers.

37"L$ U$ L U$% "L$ U L U% "L F$ L$F%

!his is 5ust the mirror of >#3:. Bou could also do )2 andperform a right handed version

of this algorithm.

+L+ sha!es


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68"w U% "$ U% " U$% "$ U%" U&$ w$%

!he left hand only holds thecube while the right doeseverything else. !his is sort oflie a fat double une.

63"w$ U$% " U$% "$ U% " U$%"$ U& w%

!his is similar to > #68, butthe first )- is done with the leftinde finger.

60 " )$ ) &$% U& "F $ F$ %

)se the right hand to do thefirst set of moves all in onemotion. !he second triggershould be very fast.

8; "$ F $ F$ &% U& y "$ F F$%

!his algorithm is very similarto > #60 with an added

cube rotation to mae thesecond trigger easier toperform.

8:

F " U $ U$% " U $ U$% F$!his is 5ust the easy !orientation performed twice ina row.

89 F$ "L$ U$ L U% "L$ U$ L U% F!his is 5ust the mirror of >#8:.

)ig Lightning )olts


3; "L F$% "L$ U$ L U% F U$ L$

!he right thumb gets a lot ofwor done at the end of this

algorithm.!he first trigger canbe a little tricy if you don-t gripthe cube properly. !he end can

be a bit tricy, too.

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80

"$ F% " U $ U$% F$ U !his is 5ust the mirror of >#3;.

+C+ Sha!es


38" U &$ U$% "$ F% " U% "U$% F$

!his case is fast. It taes a littlewhile to get used to the +2- notbeing 5ust +-, but the algorithmflows very nicely. I mae the

last *- turn with my right indefinger.

87

"$ U$% "$ F F$% "U %!here-s nothing fancy here. !hisis 5ust a sledgehammer with asetup move.

Suares


6 "w$ U&% " U $ U w%!his is 5ust a fat (ntisuneperformed from the bac of thecube.

7 "w U&% "$ U$ U$ w$% !his is 5ust a fat (ntisune.

Sall Lightning )olts


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9 "w U $ U% " U& w$%!his case is 5ust the inverse ofone of the s$uares &> #7'.

%2

"# U&% "$ U$ U$% "$ U& %U #$

!his is 5ust a une from thebac right ecept with a setupmove.

: "w$ U$ U$% "$ U& w%ie > #9, this is 5ust theinverse of one of the s$uares&> #6'.

%%w$ "& U $ U U& $% U#$

ie > #%2, this is 5ust aune with a setup move.

Fish Sha!es


39 F " U$% "$ U$ U% "$ F$%

!his is one of the fastestorientations. It-s the first half of

the Bpermutation. !he last simoves are D!+@B *(!.

36

" U&% "& F% " F$ U& $%!his is 5ust the sledgehammer

with a setup move.

%0" U $ U% "$ F F$% " U&$%

!his is ind of lie a une with asledgehammer mied in.

;" U $ U$ $ F% "& U $ U$F$%

!his is a pretty fast algorithmthat flows very nicely.

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+I+ Sha!es


6% Fw " U $ U$% " U $ U$%Fw$ !his is 5ust the easy Eorientation repeated twice.

62

" U $ U (w$% " U$ $F$%

!he w- turn eliminates theneed for a rotation, so thisalgorithm can be done very$uicly.

67

Fw " U $ U$% Fw$ F " U $U$% " U $ U$% F$

I do this algorithm as the easyEorientation followed by theeasy !orientation repeated

twice.

66" U&% "& U$ U$ $ U&% "F F$%

!his is 5ust a une performedfrom the bac right with a setupat the beginning and asledgehammer at the end.

+.night #o/e+ Sha!es


%3"w U$ w$ U$ w U w$ y$"$ U %

I lie this algorithm. I 5ust wishit didn-t have a rotation.

%7

"w U w$% " U $ U$% "wU$ w$%

!his is 5ust a fast trigger with afast setup before and after.

%8

"$ F% " U $ F$ % y$ " U$$%

!his case is pretty nice, but lie> #%3, I don-t lie therotation.

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%6"Lw$ U$ Lw% "L$ U$ L U% "Lw$U Lw%

!his is 5ust the mirror of >#%7.

The +'wkward+ Sha!es


8%" U$% "$ U&% " U% y " U$%"$ U$ F$%

!his case loos difficult, but it-sactually pretty easy and flowsind of nicely.

30

"&$ U $ )$% " U$% "&$ U%"Lw U Lw$%

(fter the first set of moves,everything pics up a bit andit-s easy to finish the algorithm.

82"L$ U% "L U&$% "L$ U$% y$ "L$ U%"L U F%

!his is 5ust the mirror of >#8%.

2;"L& U$ L )% "L$ U% "L& U$%

"w$ U$ w%

!his is 5ust the mirror of >

#30.

orners 0nly

Nam

eDiagram Algorithm Comments

Aa x (R' U R') D2 (R U' R') D2 R2

This is a basic corner 3-cycle. It is

one of my favorite and fastestalgorithms. Perform the D2s with the

left hand and everything else with the

right.

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Abx R2 D2 (R U R') D2 (R U' R)

[y'] x (L U' L) D2 (L' U L) D2 L2

This is !st the inverse of the other A

"erm. It is "erformed in a verysimilar manner.

#x' (R U') (R' D) (R U R' D') (R U R'

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

This alg is !st two orientations

"erformed consec!tively.

Edges 0nly

Name

Diagram Algorithm Comments

$a(R U' R U) (R U) (R U') (R' U' R2)[y2] (R2 U' (R' U' R U) (R U) (R U'

R)

This is !st a sim"le 3-edge cycle. Itis almost as fast as the cornercycles. I solve this case with the bar

at the front or the bac%.

$b

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

[y2] (R' U R' U') (R' U') (R' U) (R U

R2)

This is the inverse of the other $"erm. I "lace my hands slightly

differently for this algorithm. I solve

this case with the bar at the front orthe bac%.

& (M2' U) (M2' U2) (M2' U) M2'

This is e'tremely easy to recogni(e

and can be "erformed )#*+ ,!ic%ly.

The 2 is act!ally "erformed as/0 with ra"id "!shing at the

bac% face of the layer with the

ring and then middle fingers.

1(M2' U) (M2' U) (M' U2) (M2' U2)

(M' U2)

The 1 "erm!tation is "erformed very

similarly to the & "erm. The last $2

is not necessary if yo! acco!nt for itbefore the algorithm.

Swa!!ing Two 'd1acent Corners 2 Two Edges

Nam


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

I "erform the * of the * 45 a s"lit

second after I start the 4 so that I can

immediately "erform the $ to A$6when the 4 face has been moved to

where it belongs.

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

U') (R' U')

This is the same as the T "erm withthe last fo!r moves instead "erformed

at the beginning.

T(R U R' U') (R' F) (R2 U') (R' U' R

U) (R' F')

This is the T "erm!ation. It is long b!t

definitely very fast and easy. It can be

"erformed in almost one swift motionwitho!t any read!sting of the fingers.

Note that it is a combination of two

easy orientations.

*b(R' U2) (R U2) (R' F R U R' U') (R'

F' R2 U')

This is a "retty straightforward alg

that flows "retty nicely.

*aR U R' F' R U2 R' U2 R' F R U R

U2 R' U'

+o! co!ld also !st mirror *b7 b!t thisalg is more right hand friendly. Notice

the similarity with the b "erm!tation.

6R' U' F' (R U R' U') (R' F) (R2 U')

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

This is a T "erm!tation with a 3 move

set!" in the beginning and a

cancellation of one of those moves atthe end.

Cycling Three Corners 2 Three Edges

Nam


8a

(R2' Uw) (R' U R' U' R Uw') R2' y'

(R' U R)

This alg has a "retty decent flow to it

and can be "erformed almost in onemotion !ntil the rotation.

8b(R' U' R) y (R2' Uw R' U) (R U' R

Uw' R2')

This is the inverse of 8a. Note howsimilar they loo%. I "erform this one

almost e'actly the same way.

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8c(R2' Uw' R U') (R U R' Uw R2) (Fw

R' Fw')

+o! co!ld rotate and insert the "air

instead of "erforming the last threemoves as shown.

8d(R U R') y' (R2' Uw' R U') (R' U R'

Uw R2)

This is !st the inverse of 8c. I

e'ec!te it very similarly beca!se

most of the moves overla" in thesame manner.

Perutations 03 Two (iagonal Corners 2 Two Edges

Name

Diagram Algorithm Comments

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

R' F) (R F)

This is one of my least favorite"erm!tations beca!se the flow !stisnt there.

Na(z) D (R' U) (R2 D' R D U') (R' U)

(R2 D' R U' R)

This alg co!ld also be "erformed !sing

9*7$74: if yo! dont do the rotation7b!t this way is faster with "ractice.

Nb(z) U' (R D') (R2' U R' D U') (R D')

(R2' U R' D R')

This is !st the mirror of the other N

"erm!tation.

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

U') (R' F R F')

This is very ,!ic% and can be

"erformed witho!t any ad!stments ofwhere the fingers are. It is !st a

combination of two ,!ic% orientations.

Copyright F 200620%6 /ob /urton

cub2

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