Corners of Last Later (COLL)
I like to use different methods
to solve a Rubik’s cube depending on mood or whim. My three favoured methods are
Roux, Petrus and Waterman. I wanted to collect a group of algorithms that work
for all three of these methods at the COLL stage.
It took some time to amass a
series of algorithms that I like and felt comfortable with. I have not yet
memorised or mastered each situation, but this is an ongoing process.
The names of the algorithms are
the ones I found when researching them. Lars Petrus seems to have named most of
them. Where there is no name, I have resorted to using the name of the position
it solves. The algorithm that solves position A-PLL has no accepted name that I
could find. “Apple” seems like an obvious name but no one line has done this.
The chances of the particular
coming up at random is shown in parenthesis.
Algorithms or
combinations of algorithms in bold leave the edges unaffected.
All Corners Rotated Correctly (1 in 27)
Recognition:
look for patterns on the sides.
U-Face
|
Algorithms
|
Comment
|
 |
[R' F R' B2 R F' R' B2 R2]
[A-PLL a]
|
B-Face
pair
F-Face
opposite
|
 |
[R'
F' L' F R F' L F]
[R'
F' L F R F' L' F]
[Bow
Tie]
[Clix]
or
[E-PLL]
|
All
faces opposites
|
Headlights (4 in 27)
Recognition:
look for patterns on the U-Face and L-Face.
U-Face
|
Algorithms
|
Comment
|
 |
[R
U2 R' U' R U' R']
[L'
U2 L U L' U L]
[Anti-Sune]
[Left
Anti-Sune]
|
L-Face
pair
U-Face
opposites
|
 |
[F2
L2 F' R2 F L2 F' R2 F']
[Denzel]
|
L-Faces
opposites
U-Face
opposites
|
or
 |
[R
U' L' U R' U' L]
U
[R
U'2 R2 U' R2 U' R2 U'2 R]
[Niklas]
U
[Bruno]
[R
U2 L' R2 U2 L U L' U2 R2 U' L R']
|
L-Faces
pair
U-Face
pair
|
 |
y [R2
D R' U2 R D' R' U2 R']
or
y’ [L2
D L’ U2 L D’ L’ U2 L’]
[Headlights]
|
U
& L-Faces mismatched
FUL
& UFR opposites
BUL
& UBR pair
Also
mirror case
|
or
 |
y [R
U' L' U R' U' L]
U2
[L'
U R U' L U R']
y [Niklas]
U2
[Left
Niklas]
y [L'
U2 L B U' L' U' L U B']
|
U-Face
pair
L-Face
opposites
|
Side Lights (4 in 27)
Recognition:
look for patterns on the U-Face and L-Face.
U-Face
|
Algorithms
|
Comments
|
 |
[L'
U' L U' L' U2 L]
[R
U R' U R U2 R']
[Left
Sune]
[Sune]
|
U-Face
pair
L-Face
pair
|
Also
mirror case
|
[R'
F' L F R F' L' F]
[Clix]
y2 [F
R F’ L F R’ F’ L’]
y2 [Left
Anti-Bow Tie]
|
U-Face
mismatched
L-Face
mismatched
LUF
same as UFR
|
 |
y' [F
R2 F L2 F' R2 F L2 F2]
y' [Czeslaw]
|
U-Face
pair
L-Face
opposites
|
 |
[L'
U R U' L U R']
[L'
U2 L U L’ U]
[Left
Niklas]
[Left
Anti-Sune]
|
U-Face
opposites
L-Face
pair
|
or
 |
[R
U' L' U R' U' L]
[R'
F' L F R F' L' F]
[Niklas]
[Bow
Tie]
|
U-Face
opposites
L-Face
opposites
|
Bow Tie or Triple Sune (4 in 27)
Recognition:
look for patterns on the U-Face and Sides.
U-Face
|
Algorithms
|
Comments
|
 |
[L
F R' F' L' F R F']
[L' U R U' L U R' U']
[Left
Clix]
[Left
Niklas]
[R
U R' U R U' R' U R U' R' U R U2 R']
[Triple
Sune]
|
U-Face
mismatched
UBR
same as RUF
ULF
same as FUR
|
 |
[R'
F' L' F R F' L F]
[Bow
Tie]
y2 [F'
L F R' F' L' F R]
y2 [Left
Evelyn]
|
F-Face
opposites
U-Face
Opposites
UBR
and RFU same
Also mirror case |
 |
[L'
U2 L D L' U2 L D' L2]
[Anti-Headlights]
|
U-Face
pair
R-Face
opposites
Also mirror case |
or
 |
[L'
U2 R U' L U R' L' U2 L]
[Eve]
|
U-Face
mismatched
UBR
& RUF opposites
ULF
& FUR opposites
|
Sune (8 in 27 including
Anti-Sune)
Recognition:
look for patterns on the U-face, and compare with RUF.
U-Face
|
Algorithm
|
Comment
|
 |
[R
U R' U R U2 R']
[Sune]
y
[L’ U2 L U L’ U L]
y
[Left Anti-Sune]
|
U-Face
diagonal opposites
RUF
opposite UBR
Also mirror case |
 |
[L'
U2 L U2 R U' L' U L R]
[Buffy]
|
Right
U-Face opposites;
RUF
opposite to UBL
Also mirror case |
 |
y'
[L' U R U' L U R']
U'
[L'
U L U' L' U2 L]
y'
[Left Niklas]
U'
[Left
Sune]
[L
F' U2 F L' F' L U2 L' F]
|
Right
U-Face opposites
RUF
same as UBL
Also mirror case |
 |
[R
U' L' U R' U' L]
[Niklas]
|
Back
U-Face opposites
R-Edge
of UFR same as UBL
Also mirror case |
 |
[L'
R U R' U' L U2 R U2 R']
[Left
Anti-Buffy]
|
Back
U-Face opposites
RUFR
paired with UBR
Also mirror case |
or
 |
[R
U' L' U R' U' L]
U'
[L
F' L B2 L' F L B2 L2]
[Niklas]
U'
[A-PLL
b]
[R'
U2 L U' R U L' U R' U R]
[Bob]
|
U-Face
diagonal opposites
RUF
paired with UBR
Also mirror case |
Double Headlights or Double Sune
(2 in 27)
Recognition:
look for patterns on the U-Face.
|
U-Face
|
Algorithm
|
Comment
|
 |
[R
U R' U R U R' U R U2 R']
[Double
Sune]
|
Front
U-Face pair
Back
U-Face pair
|
 |
[R U R' U R U L' U R' U' L]
[Sune Niklas]
|
Right U-Face pair
Left U-Face opposites
|
 |
y
[F R' F' L F R F' L']
[L'
U2 L U L' U L]
y
[Evelyn]
[Left
Anti-Sune]
|
Front
U-Face pair
Back
U-Face opposites
|
or
 |
[R
U' L' U R' U' L]2
[Niklas]2
y F
[R U R' U']3 F'
y F
[Sexy]3 F'
|
Left
U-Face pair
Right
U-Face pair
|
Pi or Bruno (4 in 27)
Recognition:
look for patterns on U-face.
|
U-Face
|
Algorithm
|
Comment
|
 |
[R U' L' U R' U' L]
[L' U2 L U L' U L]
[Sune]
[Left Anti-Sune]
[R' F' L F R F' L' F]
[R' F' L' F R F' L F]
[Clix]
[Bow Tie]
[R U'2 R2 U' R2 U' R2 U'2 R]
[Bruno] or [Air Jeff]
|
Left U-Face opposites
Right U-Face pair
|
 |
[R U' L' U R' U' L]
U'
[R U' L' U R' U' L]
[Niklas]
U'
[Niklas]
y2 [L' U L U' L' U2 L]
U
[L' U R U' L U R']
[Left Sune]
U
[Left Niklas]
|
UBL & UFR pair
UFL & UFB opposites
Also mirror case
|
 |
[R
U' L' U R' U L U L' U L]
[Niklas
Left Anti-Sune]
|
Right
U-Face pair
Left
U-Face pair
|
 |
y
[R' F' L F R F' L' F]
U
[R
U R' U R U2 R']
y
[Clix]
U
[Sune]
|
Opposite
corners U-Face pairs
|
or
 |
[L' U2 L U2 R U' L'
U L R']
U2
[R U' L' U R' U' L]
[Buffy]
U2
[Niklas]
[R' U2 L U' R U L'
U R' U R]
U'
[R U R' U R U2 R']
[Bob]
U’
[Sune]
[L B' U' L2 U' B U
B' L2 U B L']
|
Left U-Face pair
Right U-Face opposites
|
