Back to Home
These are the 40 corner cases for the last layer when the edge orientation is correct and the algorithms I use for them.  These algorithms appear EXACTLY as I perform them when I am solving the last layer, in speedcubing notation with rotations included in the algorithm.  It should be noted that these are the algorithms that I find easiest to perform.  However, you may find other algorithms better-suited for your own hands, so it is recommended to try many different algorithms for the same situation to find which one works best for your own style of cubing.
In each diagram, yellow is the color of the upper face.  A yellow "bar" indicates that the last layer color is facing that direction in that location.  Another color denotes that a particular piece is not oriented correctly.  If a sticker is colored grey, it is not important for recognition.  For recognition, we will call red the front, orange the back, green the right, and blue the left.
If you do not understand any of the notation, please visit the notation page.
At the very bottom of the page, I have listed some links to other pages with COLL algorithms.
For a printable page of these algorithms, visit my printable page.

The "U" Case
Here, I put the yellow stickers on the back face and recognize cases by looking at the front and top stickers.

#	Diagram	Time	Algorithm	Comments	Video
01		2.967	(D R D') (R'2 U R' F2) (L' U L) (F2 U' R2)	In this case, the front stickers have the same color as each other and so do the back stickers.	slow fast
02		2.200	(R' U2) (R F' R' F) U2 (F' R F)	In this case, the diagonal stickers have the same color as each other.	slow fast
03		1.633	(R' U2) (R F U') (R' U' R U) F'	In this case, the back stickers have the same color as each other, but the front do not.	slow fast
04		2.400	(R' U') (R U') (R' U2) (R'2 U R' U) (R U'2 R')	In this case, the front stickers have the same color as each other, but the back do not.	slow fast
05		1.800	[U2] (L2 D') (L U'2) (L' D) (L U'2 L)	In this case, there are diagonal stickers with the same color and the other pair of diagonal stickers have opposite color of each other.	slow fast
06		1.633	[U2] (R'2 D) (R' U2) (R D') (R' U2 R')	This is just the mirror of Case #05.	slow fast

The "T" Case
This case is similar to the case above, and I recognize it in the exact same way.

#	Diagram	Time	Algorithm	Comments	Video
07		TIME	(R U2) (R' U' R U') (R'2 U2) (R U R' U R)	In this case, the front stickers have the same color as each other and so do the back stickers.	slow (fast coming soon)
08		TIME	(R' U R'2 D) (Rw' U2) (Rw D') (R2 U' R)	In this case, the left stickers have the same color as each other and so do the right stickers.	slow (fast coming soon)
09		TIME	(F U') (Rw' F) (R'2 F') (Rw U) (R'2 F')	In this case, the back stickers have the same color as each other, but the front do not.	slow (fast coming soon)
10		TIME	(R' U) (R U'2) (Rw' R' F) (R F' Rw)	In this case, the front stickers have the same color as each other, but the back do not.	slow (fast coming soon)
11		TIME	[U'] (Rw U) (R' U') (L' U) (Lw F')	In this case, the left stickers have the same color as each other, but the right do not.	slow (fast coming soon)
12		TIME	[U] (Lw' U') (L U) (R U') (Rw' F)	This is just the mirror of Case #11.	slow (fast coming soon)

The "Triple-Sune" (L)
This case looks different from the others because it is the only one that has only diagnoal corners oriented correctly.  I recognize this set of cases by looking a certain pairs of stickers.

#	Diagram	Time	Algorithm	Comments	Video
13		TIME	[U] (R' U2 R' D') (R U'2) (R' D R2)	In this case, the stickers on the top show the same color and the stickers on the front are opposites of each other.	slow (fast coming soon)
14		TIME	(L U'2 L D) (L' U2) (L D' L'2)	This is just the mirror of Case #13.  To recognize it, though, the stickers in the front will have adjacent colors.	slow (fast coming soon)
15		TIME	(R U R' U) (R U') (R' U) (R U') (R' U) (R U'2 R')	In this case, a sticker on the front and a sticker on the top share the same color, but the other two stickers are opposites of each other.  This case is equivalent to performing the Sune three times.	slow (fast coming soon)
16		TIME	[U2] (R' F) (R B') (R' F') (R B)	In this case, a sticker on the front and a sticker on the top share the same color, but the other two stickers are adjacent to each other.	slow (fast coming soon)
17		TIME	[U'] (L F') (L' B) (L F) (L' B')	This is just the mirror of Case #16.  To recognize the case, the stickers on the top are opposites of each other, and the stickers in the front are opposites of each other.	slow (fast coming soon)
18		TIME	(L' U2) (R U') (R' U2) L (R U' R')	To recognize this case, notice that a sticker from the front is opposite a sticker on the top, and the other sticker on the front is opposite the other sticker on the top.	slow (fast coming soon)

The "Sune" (S)
This is one of the fastest set of cases and I only use three stickers instead of 4 to recognize the cases.  Be careful not to confuse this case with the Anti-sune. ** I DO NOT USE COLL FOR THIS CASE!

#	Diagram	Time	Algorithm	Comments	Video
19		TIME	[U] (R U R' U) (Rw' F) (R F') (Rw U2 R')	In this case, the stickers in the front are the same color, but the sticker in the back is of an adjacent color.	slow (fast coming soon)
20		TIME	[U'] L' (R U R' U') (L U'2) (R U'2 R')	In this case, the stickers in the front are the same color, but the sticker in the back is of the opposite color.	slow (fast coming soon)
21		TIME	[U'] (R U R' U) (R U'2 R')	In this case, the front stickers are opposite color and the back sticker is an adjacent color to the fronts.	slow (fast coming soon)
22		TIME	[U'] (L' U2) (L U'2) (Lw F') (L' F) M'	In this case, the front-left & back sticker are of opposite color and the other front sticker is an adjacent color to the other two.	slow (fast coming soon)
23		TIME	[U2] (F R') U2 (R F') (R' F) U2 (F' R)	In this case, the front-left & back sticker are of the same color and the front-right sticker is an adjacent color.	slow (fast coming soon)
24		TIME	[U'] (R U') (Rw' F) (R' F' Rw)	In this case, the front-left & back sticker are of the same color and the front-right sticker is the opposite color.	slow (fast coming soon)

The "Anti-sune" (As)
These cases are just the mirrors of the group above. ** I DO NOT USE COLL FOR THIS CASE!

#	Diagram	Time	Algorithm	Comments	Video
25		TIME	[U'] (L' U' L U') (Lw F') (L' F) (Lw' U'2 L)	This is just the mirror of Case #19.	slow (fast coming soon)
26		TIME	[U] R (L' U' L U) (R' U2) (L' U2 L)	This is just the mirror of Case #20.	slow (fast coming soon)
27		TIME	(R U2 R' U') (R U' R')	This is just the mirror of Case #21, but I perform it as the inverse.	slow (fast coming soon)
28		TIME	[U] (R U'2) (R' U2) (Rw' F) (R F') M'	This is just the mirror of Case #22.	slow (fast coming soon)
29		TIME	[U] (R' F) U2 (F' R) (F R') U2 (R F')	This is just the mirror of Case #23, but I perform it as the inverse.	slow (fast coming soon)
30		TIME	[U] (Rw' F) (R F') (Rw U R')	This is just the mirror of Case #24, but I perform it as the inverse.	slow (fast coming soon)

The "Bruno" (Pi)
In this case, I only look at the stickers on the U-face to recognize the case. Because of this, it is very easy to become good at recognizing these cases from all angles.

#	Diagram	Time	Algorithm	Comments	Video
31		TIME	[U] (R U') (Rw' F) (R' F) (Rw U) (L' U L)	In this case, the front stickers have the same color as each other and so do the back stickers.	slow (fast coming soon)
32		TIME	[U2] F (R2 U') (R'2 U) (R'2 U) F' y (R U'2 R')	In this case, the diagonal stickers have the same color as each other.	slow (fast coming soon)
33		TIME	[U] (R U'2) (R'2 U') (R2 U') (R'2 U'2 R)	In this case, the back stickers have the same color as each other, but the front do not.	slow (fast coming soon)
34		TIME	[U] (R F' U') (R'2 F U') (F' U) (R'2 U) (F R')	In this case, the front stickers have the same color as each other, but the back do not.	slow (fast coming soon)
35		TIME	(R' U2) (R U R' U) (R2 U') (Rw' F) (R' F' Rw)	In this case, one pair of diagonal stickers have the same color as each other, but the other does not.	slow (fast coming soon)
36		TIME	(L U'2) (L' U' L U') (L'2 U) (Lw F') (L F Lw')	This is just the mirror of Case #35.	slow (fast coming soon)

The "Double-Sune" (H)
In this case, I only look at the stickers on the U-face to recognize the case. Because of this, it is very easy to become good at recognizing these cases from all angles.

#	Diagram	Time	Algorithm	Comments	Video
37		TIME	F (R U R' U') (R U R' U') (R U R' U') F'	In this case, the front stickers have the same color as each other and so do the back stickers.	slow (fast coming soon)
38		TIME	[U'] (R U R' U) (R U') (R' U) (R U'2 R')	In this case, the left stickers have the same color as each other and so do the right stickers.	slow (fast coming soon)
39		TIME	[U'] (R U R' U) (R U) (Rw' F) (R' F' Rw)	In this case, the front stickers have the same color as each other, but the back do not.	slow (fast coming soon)
40		TIME	(M' U2) (Rw' F2 d) (R'2 U) (R2 U') (R'2 B)	In this case, the left stickers have the same color as each other, but the right do not.	slow (fast coming soon)

Other Pages With COLL Algorithms
Ron van Bruchem
Dan Harris
Leyan Lo
Lars Vandenbergh