ZZ-d Idea

Please see the CPLS tab before reading

After completing a 2x2x3 block, assuming the edges are oriented, one can reduce the cube from a state of or to a state of with only a short few moves. This page will demonstrate a technique for this reduction, aimed at ZZ users, most commonly referred to as ZZ-d. This approach may also be of use for Petrus users, and perhaps users of another method.

Using a similar approach to CPLS or Seth (see menu above), place the DBR corner in place. For these purposes, the orientation of hte corner does not matter. This should always be achieved in two or less moves, with only a 1/3 chance of it being 2 moves.

From this point, use [CPLS recognition] to decifer the current permutation of your corners. There should be a 1/6 chance that the cube is already in a state and you can simply solve the cube as is.

For the other 5/6 of the time, you can reduce the cube with a fast or alg, as shown below. There are six cases, but only two algs you have to memo, since you don't care about how many peices are /actually/ solved.

D B D2 L' F' R B2 R2 D F B D L' R U F L' F R D' U R2 L2 U' F2

Scramble WCA, then x2 to inspect/solve

R2 B' R' U F' D2 R D'
L R2 U2 L' U R' U' L'
U2 R U2
BR->FR		U' L' U R2 U' L


Good		U' D' R U2 R' D
BL->FR		L' U R U' R' L

FL->FR		U L U' R U L'

BR->FR		U' L' U R2 U' L

AdjL		U D R' U2 R D'

AdjB		It's already  

Once you have mastered this technique, feel free to try placing the DFR corner rather than the DBR corner and make algs for that.
Please read up on CPLS before asking any questions; the recognition from this system is key in understanding any of this.