Yu-Korick Method (YK)
Descrition 1.0
STEP 1. EO
This step orients all edges on the cube. The definition of oriented is that the edge can be moved to the correct location without using quarter turns from F or B (F2 and B2 are OK)
During inspection of the cube, try to determine which pieces are oriented. The main method for this is to do this.
If 2 edges are misoriented.
Place 1 in the F or B layers, make a F or B turn, now 4 edges are misoriented.
If 4 edges are misoriented.
Place them all in F or B layers, and do an F or B turn.
If 6+ edges are misoriented.
Orient 4, and solve the new case.
There are sometimes better ways to solve, such as the Petrus edge orienter which orients FR and UL (F' U' F).
STEP 2. 1x2x3 on the Left Side
This is basically the first step of the Roux method. Nothing is solved, but we have all edges oriented. The idea is to create a 1x2x3 brick without ever using quarter turns from F or B.
A warning! If you do M or M', the F or B colors have now become the U and D layers, so you can't turn those quarter turns. For example, M U M' will disturb orientation, and M U2 M' will preserve it.
A good idea is to use the R slice as a working area, where you can pair up pieces and then use the U layer to transport them to the L slice. Remember never to use quarter turns from F or B.
STEP 3. Line
This solves DF and DB. It should be done intuitively, and without messing up edge orientation.
Some hints:
If the edge piece is in the U layer, put it on top of where it needs to go.
For DF, now do M' U2 M.
For DB, now do M U2 M'.
If it's in the R layer, do a R layer turn to bring it to U and do a U insertion.
STEP 4a. Finish F2L
This is basically the Petrus F2L step. Using R and U turns only, finish the entire F2L. This can be done by blockbuilding, or by a simple Fridrich system where you add a cross piece and then do Fridrich F2L to solve. This is not the only option, you can also do a method that will guarantee an OLL skip, see STEP 4b.
STEP 4b. Finish F2L
This is a different way of doing step 4a. Use blockbuilding methods to solve a 2x2x1 brick with the DBR corner, RD and RB corners. Then, use WV (Winter Variation) to solve the last two pieces in the F2L and orient all corners at the same time, therefore creating an OLL skip (since you preserved Edge Orientation).
STEP 5a. OLL/PLL
This is probably the easiest method to use. If you know 2-look OLL with Fridrich, you know 1-Look OLL for YK since edges are already oriented. If you know full PLL as well, you have a 2 look LL. If you know 2-look PLL, you have a 3-look LL.
STEP 5b. PLL
This applies only if you used step 4b, and not 4a. You now have an OLL skip, so if you learn PLL, you have a 1-look LL.
STEP 5c. ZBLL
This is the hardest method to learn, because of the amount of algorithms. Solve with Step 4a, and then do ZBLL to give you a 1-look LL. It's much easier to use WV instead for a 1-look LL.
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If you use Yu-Korick, and you want to say the exact name, use the letter names for steps 4 and 5. For example, if you used step 4a and 5c, your method would be Yu-Korick AC. This is just to make things easier when explaining.
And that's it! I'm still improving it. But I'll tell you this, I got a 28.27 average of 5 using YK AA. It's pretty fast. I'm learning WV so I can do YK BB