PBL

PBL can be translated as Permutations of Both Layers or a step that Permutes Both Layers at the same time. PBL is most commonly used in 2x2 and Square-1 where it is often the last step before finishing the puzzle.

In 2x2 it's used in the last step of Ortega (and sometimes the Guimond method though it is less common nowadays because of Ortega being faster), for Ortega PBL it has total of 12 algorithms.

In Square-1 it's used in the Vandenbergh method, it is a little bit different, since solving both sides at the same time requires way too many algorithms so the step is often split into two parts: EP Edge Permutation and CP Corner Permutation, another approach is 2-alg PBL which turn the PBL into an easier case that can be solved using easy PBL.

Algorithms (2x2 Ortega)

Swap U-layer Adj. Corners (1+4) y R' F R F' R U2 R' U R U2 R' y' R2 F2 R U R' F2 R F' R y2 R' F R' F2 R U' R' F2 R2 y R U2 R' U' R U2 L' U R' U' L (Jb Permutation) y R U R' U' R' F R2 U' R' U' R U R' F' (T Permutation) y R U2 R' U' R U2 R' F R' F' R	Swap U-Layer Opp. Corners (0+4) R U' R' U' F2 U' R U R' U F2 F R' F' R U R U' R' F R F' U' R' U' R R U2 R' U2 R' F R F' R U' R' F R' F' R R U R U' R' F R' F' R U R' U' R' F R F' F R U' R' U' R U R' F' R U R' U' R' F R F' (Y Permutation)
Swap Adj. + Adj. Corners (1+1) R2 U' B2 U2 R2 U' R2 y2 R2 U' R2 U2 F2 U' R2	Swap Opp. + Opp. Corners (0+0) R2 F2 R2 R2 B2 R2 x R2 U2 R2 x'
Swap Adj. + Opp. Corners (1+0) R' F R' F2 R U' R y2 R' U R' F2 R F' R R U' R F2 R' U R' y R2 D R2 D' R2 D R2 D' R2	Swap Opp. + Adj. Corners (0+1) y R2 U R2 U' R2 U R2 U' R2 y R2 U' R2 U R2 U' R2 U R2
Swap D-layer Adj. Corners (4+1) y R2 U' R' U R' F2 R F' R' F2 R2 F2 U' R2 U R2 U' R2 U R2	Swap D-layer Opp. Corners (4+0) R U' R' U' F2 U' R U R' U R2 B2 F R2 U2 R' U R U2 R2 F R F' R' F'

The first two algorithms (J perm and Y perm) only affect the top layer, and because of that, they can be used in LBL methods.

Note that D moves are the same as U + y, just a different notation, what you do for real is something in between. The effect of it is that you transform F moves to R or L (D R makes the same turns as U F + y').

See also

• Ortega
• Guimond
• OLL (2x2x2)
• PLL (2x2x2)

External links

• AlgoCuber's PBL Algs
• David Woner's PBL algs
• Bob Burton's PBL algs
• PBL algs on Speedcubingtips.eu