Delta Phi
Member
Being a Roux solver, I am not a huge alg-learning machine, instead preferring intuition, blockbuilding, and commutators. Megaminx last layer is not particularly conducive to this approach with the conventional methods. I know that efattah and some others have worked on tripod LL for megaminx, but I have developed my own approach that I believe works well. I have termed this approach "ULL", for U Last Layer, because the last layer pieces that need to be solved after LS form a U or V shape. Basically, you solve F2L and S2L normally up until last slot, where you then solve a 1x2x2 block in the top layer, and then solve the last slot. Then, you use one of the 11 following ELL algs to solve edges, leaving 4 corners to be solved using commutators. Obviously, an advantage this shares with @efattah 's method is reduced alg numbers from the OLL/PLL approach due to more blockbuilding. I think the main advantage this has over efattah's method is that you dont need to solve a specific block in the U layer, instead being able to use whatever pairs show up. A drawback I see is that the algs may not be as good, but I'm not certain about this.
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!
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!