At this point in the solve, the F2L is done and the LL edges are oriented. We are now going to solve the entire last layer in one look. That is, we are going to orient corners, permute corners, and permute edges all simultaneously. There are 494 cases in this step. As of 3/12/08, I know about 28% of these, so I will be posting the algs here as I learn them. Since there is hardly any information available for ZBLL, I eventually plan to give multiple algs for each case, with the one that I use in bold lettering.
Note: I highly recommend that you know COLL and can use it comfortably before you even start looking at ZBLL!
There are three parts to recognizing ZBLL cases. First, you see what orientation case you have. Then, you see what COLL case you have within that orientation. Finally, you see what edge permuation you have within that COLL case. The first two steps should be fairly straight forward, as long as your COLL is solid. However, recognizing the edges can be tricky. Dan Harris came up with a pretty good way of recognizing this, and it is what I will be using here. Basically, there are four stickers you look at: FU, FUR, RUF, and RU. You are going to determine the relationship between these stickers. For example, FU and FUR could be the same color, while RUF and RU could be opposite colors. This case is denoted as C/O (Correct/Opposite). There are 12 ways the stickers can possibly be. Most of them are straight forward, but there are some tricky ones:
FU and FUR are adjacent/RUF and RU are adjacent, and UF and RUF are also the same color Another way of looking at it: UF and RUF are the same, FUR and RU are opposite FU and FUR are adjacent/RUF and RU are adjacent, and FUR and RU are also the same color Another way of looking at it: UF and RUF are opposite, FUR and RU are the same FU and FUR are adjacent/RUF and RU are adjacent These cases look like Z perms FU and FUR are opposite/RUF and RU are opposite These cases look like H perms FU and RUF are opposite/FUR and RU are opposite These cases look like Z perms from the alternate angle
C/C
FU and FUR are the same/RUF and RU are the same
C/A
FU and FUR are the same/RUF and RU are adjacent
C/O
FU and FUR are the same/RUF and RU are opposite
A/C
FU and FUR are adjacent/RUF and RU are the same
O/C
FU and FUR are opposite/RUF and RU are the same
A/O
FU and FUR are adjacent/RUF and RU are opposite
O/A
FU and FUR are opposite/RUF and RU are adjacent
A/A (F)
A/A (R)
A/A
O/O
Opp X
There are several advantages to using this method of recognition. In my opinion, the biggest one is (with the exception of the A/A (F) and A/A (R) cases) it is extremely easy to recognize. You can also use this method for any case within the T, U, and L orientation. There are also some downsides to it. You cannot use this method with the other four orientations. Also, you are usually forced/restricted to recognize the cases from only one angle.
Other recognition options include using blocks or just looking at where the edges have to go. Block recognition is always good, but there are a lot of ZBLL cases that don't have any blocks in them. You can just look at where the edges have to go if you want, but this is a lot harder in my opinion. In a lot of the cases, the edge permutation is a 4 cycle, and those are a bit tough to track. So I think that Dan Harris' recognition method is the best way to go.
Here are the eight orientations by which ZBLL is divided:
| T | U | L | Pi | H | Sune | Anti-Sune | PLL |
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