SLP

Move PAIR

Here, Move PAIR are used to assist in explaining how to move. All the Move PAIRs cannot be broken during the move process.
The location of the Move PAIR does not mean that there must be a PAIR there, but it must include all the bound PAIRs and cannot be dismantled.

Parallel and NC position

Two Move PAIRs are in the same layer and their relative positions are as shown on the left, that relative position called "Parallel".

Given a Move PAIR , the purple area shown on the right contains that Move PAIR, which is called that Move PAIR's "Parallel Area".

Set up some Move PAIRs. If the relative position of a corner and one of those Move PAIRs is as shown in the pink position on the left, and that corner is not in any Move PAIR's Parallel Area, then that position is called "NC" position.

Some examples of NC positions are shown in pink on the right.

Glue Move

Specify some sets of Parallel Move PAIRs that do not overlap each other,
the so-called "Glue Move" is a move that

• do not break any of those sets of Parallel Move PAIRs.
• do not rotate the layer when that layer don't have any of those sets of Parallel Move PAIRs.

Some examples of Glue Move

Interchange PAIRs Move

Specify some sets of Parallel Move PAIRs that do not overlap each other,
The so-called "Interchange PAIRs Move" or "IPM" for short is the following three-step move.

Step 1

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Do a Glue Move so that two of the Move PAIRs you want as shown on the left.

Step 2

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Do the move as shown on the left.

Step 3

Do a Glue Move return to its initial position.

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If in step 2 above, one of the shapes shown on the left appears on the Z layer, it is called "Interchange Move on Z" or "IPM on Z" for short.

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The position change of the edges on the Z layer is as one of the right.

Some examples of IPM

The examples here orange is F face, yellow is U face, blue is R face.

Parallel Transfer Move

Given some sets of Parallel Move PAIRs that do not overlap each other, and one single Move PAIR.
The so-called "Parallel Transfer Move" or simply "PTM" is the following two-step move.

Step 1

Do Glue Move of those sets of Parallel Move PAIRs, and a face rotation of that single Move PAIR without breaking any set of Parallel Move PAIRs. One of the sets of Parallel Move PAIRs and that single Move PAIR become as shown on the left.

Step 2

One of the Move PAIR in that set of Parallel PAIRs and that single Move PAIR form a new set of Parallel PAIRs, and the another Move PAIR in that set of Parallel PAIRs becomes a new single Move PAIR due to the formation of the new set of Parallel Move PAIR.
Do Glue Move that have been replaced by that new set of Parallel Move PAIRs, and a face rotation of that new single Move PAIR without breaking any set of Parallel Move PAIRs that have been replaced by that new set of Parallel Move PAIRs.

"IPM" and "PTM" are collectively referred to as "PM"

Some examples of PTM

Only two NC positions

If there are only two NC positions, no matter which PM is done, the positions of the two corners at the NC position will be interchanged with each other.

If there are only two NC positions, no matter which IPM is done, the impact on the corner at the NC position will be the same.
Just like the example shown on the right, each uses a different IPM, but the end result of the colored corner is the same.

If there are only two NC positions, and the layer where the single MOVE PAIR for PTM is located is as shown on the left, no matter which PTM is done, the impact on the corner at the NC position will be the same.

Just like the example shown on the right, each uses a different PTM, but the end result of the colored corner is the same.

Likewise, if there are only two NC positions, and the layer where the single MOVE PAIR for PTM is located is as shown on the left, no matter which PTM is done, the impact on the corner at the NC position will be the same.