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Makisumi-Garron Last Slot
Lucas Garron; June 15, 2007 & December 2007
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Sometime in late 2006, I was browsing through Macky's site on his old domain, and came across an obscure link on a page of miscellaneous techniques: "F2Lc+LLCO". He described a neat alternative to Fridrich he was investgating, though he never finished. I adopted his idea, found algs for every case, memorized them -and did all of that work myself. However, I probably wouldn't have tried that if it weren't for Macky. He's the inventor and I'm the engineer, so in the compound naming style of "ZBF2L" and "VH," I'm proposing "MGLS" as a speedcubing approach to solve the last F2l slot & LL of a Rubik's cube:
MGLS can simply be interpreted as a method for last slot that serves as an alternative to Fridrich; instead of placing the last slot pieces and the orienting LL, in that order, both steps are done together, first for edges (ELS) and then corners(CLS). The edges have enough free movement to require slightly fewer moves for ELS than slot placement does. CLS has quite a few more algs than OLL, but the offset involvement of the LS corner allows for nice algorithms; recognizing either CLS or OLL as the better of the two is mostly subjective (which one takes more twists, on average, depends on algs, execution, and move & metric counting scheme -though CLS is ideally shorter): I consider them very comparable.
In the course of adoption, I have found several distiguishing features to MGLS. Most of these stem from the CLS step in comparison to OLL. I had first considered using MGLS algs for 2x2x2 (get 3/4 of a face, CLS, PBL), but it turns out that porting algs is horribly inefficient -although Timothy Sun is working on finding CLS algs specifically for 2x2x2. However, the most peculiar feature of CLS is that it does not orient edges. Unlike most OLL cases, CLS cases do not need algs that turn at least 3 faces: it is possible to resolve every CLS case with an [R, U] 2-generator algorithm! This is not an amazing advantage for 3x3x3, but is very beneficial for one-handed solving and bigger cubes. Alternating between two faces without major regrip allows for faster, smoother algorithm execution. There is a tradeoff: in order to select only 2-gen algs, one loses the slight move count advantage over Fridrich. However, I believe this is a pleasant choice: How would you like it if you could replace your worst OLL's by a 14-move 2-gen alg?
Enough propagana. If you like MGLS, use it, if not, don't: no one but me will chide you for joining the mass of Fridrich clones. I gope this site makes sense and works well; I've set up a new database system that allows you to finds algs easily, feel free to browse and send me emails. I have several features under consideration, and I just might implement a few. Anyhow, have fun: May the algs be with you!

Several cubers are learning MGLS. The following lists those who are so cool that they have adopted the method and have finished learning it:

Lucas Garron (June 2007)
Justin Adsuara (Dec. 25, 2007)

StepDescription & NotesGoal
F2L, minus last slot Several solutions arrive at this step; any can be used:
  • 3 slots of standard Fridrich F2L (CF[OP]), Beginner's F2L, Working Corner/Keyhole, or any other such Cross+F2L solution. Extended Cross works well, too. Look around for this; I personally recommend Macky's page for learning F2L. Also see Fridrich's pages.
  • Petrus up to step 4a. A Petrus solve will already have edges oriented, so ELS can often be done in only two extra twists.
  • Heise's square-building.
  • F2L with edge pre-orientation. This could work very well with MGLS... (See Zborowski's page) I'll experiment more with this as I get faster.
ELSEdge step of the Last Slot:
The edge of the last slot is placed while the last layer edges are oriented.
21 cases/13 algs+mirrors, ≈6.5 twists (average)
CLSCorner step of the Last Slot:
The corner of the last slot is placed while the last layer corners are oriented.
104 cases/56 algs+mirrors, ≈9.5 twists (average)
PLLPermutation of the Last Layer:
All the cubies of the last layer are permuted (placed/positioned) correctly. Macky, Vandenbergh, and "Peter" all have excellent PLL lists.
21 cases/14 algs+mirrors, ≈12 twists (average)
Happy Cubing!