Square-1 PLL Recognition
by Andrew on Feb.22, 2011, under Uncategorized
I recognize PLL with a combination of “Blocks” and “Bars” A block is two or three connected pieces, like so:
A bar is a set of connected corners. I’ve put bars in red wherever possible. The term “bar” is taken from 2×2 PBL recognition, so a bar may or may not include the edge in between the corners. (If it does, it’s also a 1×3 block):
You can tell the permutation of a layer (and its parity) by comparing blocks and bars in most cases. I’ve included some lookahead information for square-1 permutation, but the recognition part applies equally to 4×4 PLL. Listed is which EP case each permutation goes to with a proper Vandenbergh solution, and then information on 1-look permutation if it applies.
The E/X/Q cases are difficult to recognize with this technique, so I’ve added some notes to the end of the page detailing how I recognize these cases.
No parity:
U: Solved CP, goes to U, J 1 J to solve
Z: Solved CP, goes to Z
H: Solved CP, goes to H, N 1 N to solve
A: Adj CP, goes to U, J 2 J to solve
T: Adj CP, goes to U, J 4 J to solve
Ga: Adj CP, goes to U, NJ to solve
Gb: Adj CP, goes to U, JN to solve
J: Adj CP, goes to solved, J or JJ or NJ or JN to solve
R: Adj CP, goes to U
Ph: Adj CP, goes to U
Y: Opp CP, goes to U, J 5 J to solve
V: Opp CP, goes to U
N: Opp CP, goes to solved, J 6 J or N to solve
E: Opp CP, goes to Z
Parity:
Opp Edges: Solved CP, goes to opp
Adj Edges: Solved CP, goes to adj
O: Solved CP, goes to O
W: Solved CP, goes to W
Opp corners: opp CP, goes to opp
Adj corners: Adj CP, goes to Adj
K: Adj CP, goes to adj
P: Adj CP, goes to opp or adj
B: Adj CP, goes to adj
D: Adj CP, goes to opp
C: Adj CP, goes to W or O
M: Adj CP, goes to W
S: Opp CP, goes to adj
X: Opp CP, goes to O
Q: Opp CP, goes to O
Notes on E/X/Q:
These are definitely the hardest to recognize between. The trick is to look at two edges, and the corner between them, and apply the 3-color rule. If there are 3 colors, that means EP is correct, so you have an E-perm. If there are 2 colors, you have an X, and if there are 4 colors, you have a Q.
E
X
Q