CPEOLL, corner permutation and edges orientation of the last layer, an experimental method for the 3x3x3 cube that permutes the last layer corners and orients the last layer edges preserving F2L. This is the second last step and the goal is to reach EPLL. Normally it would be used as a add on to the Fridrich method the times CO skips (occures 1:27 times) but it may be used as a second step in a 3look last layer where the first step is to orient the corners.
CPEOLL is a sub group of CEOLL (CLL + EO), the same as OCPLL (OLL + CP), a very advanced method with more than 300 cases that solves all last layer but EPLL in one look.
CPEOLL cases
There are 15 cases, three of them have corners correctly permuted (CLL skip) and may be solved in one look using ELL, two has got edges oriented and may be solved in one look using PLL (OLL skip). Removing those cases it is only 10 left (2 are mirror cases) and of those 4 may be solved using JPLL + M setup and one can be solved using YPLL (or VPLL) with a M move setup.
Corners permuted
Adjacent flip

Use ELL to solve in one look.


Diagonal flip

Use ELL to solve in one look.


4flip

Use ELL to solve in one look.


Edges oriented
Adjacent PLL

Use PLL to solve in one look.


Diagonal PLL

Use PLL to solve in one look.


Adjacent corners
FRflip


Alg

!




RBflip


Alg

!




FBflip


Alg

!




RLflip

4flip (adjacent)


Alg

!




Diagonal corners
Adjacent flip

Opposite flip
