Collection of awkward 3 style edge commutators

[Ranzha]

AET: l' U' r' U' r U R u R u' x'

 

[leeo]

How I search for algorithm sequences

I have taken to searching for my own algorithm sequences to memorize, since I prefer a left-hand bias which is rare in published catalogs. I thought it might be fun to share some of the thoughts I go through as I seek them.

for the pattern that I would read as "UGR" if it is turned onto a solved cube, Cube Explorer pops out two 10-move solutions:

D' L D F U B L' B' U' F'
B R F D F' R' B' L' D' L

Though I often find that I do not like any of the fewest-move sequences. The first one follows BH, though I am unsure which subtype it is.

Of the six 11-move solutions, only two do not involve center-face twists, which is important if you desire to eventually apply them early to 4x4 or 5x5 or such bigger cubes without disturbing the layout of the split-centers.

D2 R' U' L' B' L U R D B D
L' F' L' U' R' D' F D R U L2

There are sixteen 12-move sequences that do not involve center-twists and which also do not involve double-turn moves (just to narrow down the considerations). I pick one of these which shows some promise:

U D' L D F U B L' B' U' F' U'

U D' signals for a slice-move reduction, which nicely repositions out the B moves which are often awkward to make fast.

E F D R U L F' L' U' R' U' y

I find this one has a nice interplay between the hands, but requires at least two regrips to execute. By the way, I prefer a UB buffer, so if I simply exchange DU with UB with an M2 or even a Rw2 I get one of the petrie polygon exchanges that I use: U' F' D' L' D F U Fw U Fw'

Back to E F D R U L F' L' U' R' U' y, to commit this to memory, I do not try to remember this move sequence, but instead the dance of one of the corner facelets:

_L 5 _P _U _V _J _F _G _V¡_G _F|_C _B _J _N 4 _J

"5" means slice, "4" means whole-cube move, "|" or "¡" means to refocus to another corner facelet without moving. Corner positions are unaffected by slice moves, so "5" really means to refocus to the equivalent-named edge, slice it to the next named edge position, and then refocus to the equivalent-named corner. What is nice about this form for memorizing, it presents the sequence almost like a BLD reading -- though the difference is that I practice it until it is in long-term memory. With this practice, eventually the sequence simply lives in muscle memory -- but I feel this shortens the pathway to that proficiency.