#### Delta Phi

##### Member

I generated these algs because my previous (current, really, I just came up with these today) approach is to solve the U block, then LS, then do EO and EP separately, which takes only 4 easy algs virtually everyone knows already. In the future, I would like to investigate an additional set of ELL algorithms that together would guarantee at least one of the last 4 corners is solved using the cycle union system, changing the looks from 2.5 (cases with 4 corners needing 2 comms) to 2 flat.

All algs start with the U block in the back. There are three possible EPs, solved (0), clockwise (+), and counterclockwise (-), and there are 4 different EOs, solved (0), left edge good (L), middle edge good (M), and right edge good (R).

0+: y2' R U R' F' R U R' U' R' F R2 U' R' (J perm)

0-: y2' R U R2' F' R U R U' R' F R U' R' (inverse J perm)

L0: F2 DR' DL' F2 U F2' DL DR F2'

L+: L F R' F R F2' L' (Fat sune)

L-: R U' F' U F R

M0: y F2 DR' DL' F2 U2 F2' DL DR F2'

M+: R' F' U' F U R

M-: L F U F' U' L'

R0: F2' DL DR F2' U' F2 DR' DL' F2

R+: L U F U' F' L'

R-: L F2 R' F' R F' L' (Fat antisune)

I credit the pure flips to this video by Brandon Menrigh, it seems like he resides moreso on the twistypuzzles forum than here. I probably would have never finished if I hadn't seen his commutator idea.

EO+EP approach movecount: 0.75*6+0.67*13 (J perm) = 13.21 average movecount

ELL approach movecount: (3*9 (pure flips) + 2*13 (J perms) + 2*7 (fat sunes) + 4*6)/11 = 8.27 average movecount

saves almost 5 moves or nearly 40% on average!