For RUPM users

Base stage setting

For file unification, change the base stage settings to the following

Here F face is orange, U face is yellow, and R face is blue.

As shown on the left, make the 2x2x3 block, place it at FBLD, and enter <R,U>. That is the entire cube can be solved just by R, U face rotations.

Bind the pair and bind the pair and place them as shown on the right, and keep them in <R,U>.
The so-called binding means that you cannot break it later.


How to upgrade RUPM to 2.0

From the previous RUP method.

Replace the step "Reducing to the group of retaining 3 pairs" with "Bind the second to last PAIR using PMs".
Replace the step "Reducing to the group of retaining 4 pairs" with "Make the last PAIR".

This will get RUPM 2.0.

For PPW/PPW2 users

How to upgrade PPW/PPW2 to 2.0

We will replace the "Adjust …" step of PPW/PPW2 method with the following article.

Replace the step "Complete 6PAIRs" with …

  1. "Bind the second to last PAIR using PMs".
  2. "Make the last PAIR".

This will get PPW/PPW2 2.0.

Article of Replacing the Adjust setp of PPW/PPW2

Instructions for use

For the convenience of explanation, use to represent Hub Corner that does not consider the twisting orientation, and use to represent Dog Tail Corner that does not consider the twisting orientation.

Here we use grey PAIR to represents bound PAIR.

"Similarity and difference of permutation parity" means "the permutation parity of the three corners, the Dog Tail Corner and the Remaining 2Corners, is different or the same as the permutation parity of the Basic 4PAIRs".

Preparation

The Base 4PAIRs are placed in the shape as shown on the left, where the silver center represents the F face, and the black center represents the U face.

These 4 corners and the edge do not belong to any bound PAIRs.
In addition, the edge and the edge do not belong to any bound PAIRs.


Goal

  • The similarities and differences of permutation parity are the same.
  • The position of the Dog Tail Corner on the U layer is as shown on the right.
  • edge are placed on the R, U layer.

The meaning of the symbol used in the corners on the U layer

This method observes the twisting orientation of the corners on the U layer, as shown on the left, based on the pink Orientation Windows used in the non-Hub Corner on the U layer.

On the U layer, when we refer to the color of the corner, we are referring to the facelet of the corner on the Orientation Windows.


The arrow symbol as shown on the left not only represents the change of the position of the corner,
but also represents that the same color is maintained on Orientation Windows after the position of the corner is changed.

→

The red facelet on the corner shown on the right demonstrates how the arrow symbol makes a corner change.

The arrow symbol and the twist symbol as shown on the left are in the same corner position,
which means the corner that was originally in that position not only applies the rule of the arrow symbol, but also applies the original twist symbol rule at that position for the same corner.

→

Shown on the right demonstrates how the arrow symbol and the twist symbol in the same position make a corner change.

The arrow symbol as shown on the left only represents the facelet change cycle of this corner on Orientation Windows is yellow→red→green→yellow, but but there is no limit on the location of the U layer.

Likewise, the arrow symbol as shown on the left only represents the facelet change cycle of this corner on Orientation Windows is yellow←red←green←yellow, but there is no limit on the location of the U layer.


A series of Interchaging PAIRs Move

Here is a list of the different positions of Hub Corner on the U layer, and the influence of IPM of Base 4PAIRs.

Name Do U face rotation first to make the position of Hub Corner as shown below,
then do IPM
 After IPM,
whether to change
the similarities and differences of permutation parity 		After the IPM,
the change of the corners on the U layer
oi1 Change
oi2 Change
oi3 No change
oi4 No change

How to use

The basic elementary level and the most inflexible approach can be

  • Use the move oi1 or oi2 when the similarities and differences of permutation parity are different.
  • Use the move oi3 or oi4 to adjust the position of Dog Tail Corner to be correct.

Finally, use S2 or E2 to turn the edge into the R, U layers.

This will achieve the goal if they are only required to be solved.

If you want to predict the color of the corner and the mro number after completing this goal,
Or you want to avoid situations with relatively bad results.
More extensive data is needed.

More advanced approach

List all moves that can accomplish the goal within two IPMs.

Use only when the similarities and differences of permutation parity are different
The move used to complete the goal cycle of the color of the corner mro number cycle
oi1 No Change No Change
oi2 + oi3 −1↔0
oi4 + oi2
oi2 −1↔0
oi4 + oi1 No Change No Change
oi1 + oi3 −1↔0
oi3 + oi2 −1↔0
Use only when the similarities and differences of permutation parity are the same
The move used to complete the goal cycle of the color of the corner mro number cycle
oi4 + oi3 No Change No Change
oi2 + oi2 No Change
oi3 No Change No Change
oi1 + oi1 −1↔0
oi4 No Change −1↔+1

Using the table above, you can know what the color of Dog Tail Corner and mro number will be after completing the goal, and you can avoid the result that the color of Dog Tail Corner is red, and the mro number is −1 as much as possible within two IPMs.
And there may be better results for
the color of Dog Tail Corner is green and the mro number is +1.
the color of Dog Tail Corner is yellow and the mro number is 0.
the color of Dog Tail Corner is yellow and the mro number is −1.
the color of Dog Tail Corner is red and the mro number is 0.
within two IPMs.

Finally, if the edge is not in the R,U layer, use S2 or E2 to turn that edge into the R,U layers.
If the result is the color of Dog Tail Corner is red and the mro number is 0, you can use S2 or E2 to bind the second to last PAIR and skip the next step directly.