Orienting Last Layer Corners
Orienting the last layer corners simply means to make the corners have all yellow facing up.
Sune and Anti-Sune
There are only two algorithms required in this step and they are both extremely fast: Sune and Anti-Sune. With the right technique, the Sune can be performed in 0.7 seconds. The Anti-Sune is just the backwards of Sune and they are both only 7 moves. These two algorithms must be memorized in order to be able to solve well. Use these algorithms as if the diagram is the top (yellow) layer.

R U R’ U R U2′ R’

R U2 R’ U’ R U’ R’
Normal Cases
But, these are not the only cases. There are more cases, luckily, on these cases, just a Sune needs to be performed then, it will be reduced to one of the two cases above. With the cases below, just perform a Sune and it will be reduced to either a sune or an anti-sune case (with the exception of one case). The four cases below are called (in order from left to right):




Special Cases
There is a special cases that contain shortcuts (it can be done normally like the way the four cases are done but there is a shortcut to make this faster).
Special Case: H-Orientation
This first case, the H-orientation, the below requires using the Sune algorithm twice. But, there is a shortcut and it is R U R’ U R U’ R’ U R U2 R’. This removes the need of three extra moves which is a lot faster than doing sune twice.

If this step is done correctly, the last layer should all be one color (preferably the yellow color). Now, you can continue to Permute the Last Layer Corners.

anonymous · August 8, 2010 at 11:00 pm
I think your anti-sune is wrong lol. Shouldn’t it be:
R U2 R’ U’ R U’ R’
Admin comment by joshtime · August 10, 2010 at 3:01 am
Oops. Thank you for catching my mistake.