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We are still working on the White and Yellow Edges, moving them into the Left and Right opposite Edges. We moved each White or Yellow Edge piece from the middle area to the Left and Right Edges.


Now we check to see if all the White and Yellow Edges are correct. If they are, this step can be skipped, but sometimes the Yellow or White Edge pieces can be positioned incorrectly on the Left and Right sides.


An incorrectly placed White or Yellow piece can be displaced by moving any Edge piece from the top-front into the place occupied by the mismatched White or Yellow Edge, which moves the Active Edge piece into the middle area where we can then place it as before to it's correct side and position.


DEMONSTRATION:



SETUP 1:

With the Yellow and White corners facing the Left and Right sides, ignore all the cubes except a White or Yellow Edge pieces that is incorrectly placed. Rotate the Cube freely toward and away from you to get a good look at all the side Edge pieces that are misplaced (defined as being on the far Left or far Right columns but not positioned correctly).


Hold the Cube so that the Yellow and White sides (as defined by the colors on the Corners) are facing Left and Right in your hands, and the incorrect White or Yellow Edge piece is in a front-left position.


PLACEMENT 1:


Use the appropriate Formula B to place the Active Piece. The two Columns being used are the Edge column where the piece will end up, and the middle column where the piece begins. This one will Place to the Left.








RESET 1:

Now that you have moved a Yellow or White piece from an incorrect space into the middle area of the cube, proceed with this Active Edge piece and place as before, moving on to the SETUP 2: section.


SETUP 2:

Hold the Cube so that the Yellow and White sides (as defined by the colors on the Corners) are facing Left and Right in your hands.


Because the White and Yellow pieces will be placed in the same manner, the Active Color will be represented by the Color Purple.


Formula B will move an Edge piece from a Top-Front position into a Front-Left position. It's mirror movements will place an Edge piece from a Top-Front position into a Front-Right position. To make this advantageous, we must first setup the cube so that a Yellow or White piece is in a Top-Front position to begin with.


With the Yellow and White corners facing the Left and Right sides, ignore all the cubes except a White or Yellow Edge pieces that is incorrectly placed. Rotate the Cube so t the middle section of the Cube. Rotate the Cube freely toward and away from you to get a good look at all the Edge pieces that are in the middle section (defined as not the far Left or far Right columns).


Look for and select an Edge piece in the middle area which has either Yellow or White on it. Of the two colors on that Edge piece, the Yellow or White color should be on the Top face, with the second color facing front. If this is not the case, Rotate the Cube so that the Left and Right colors switch places with each other, and begin SETUP again.

With the Yellow and White colors on the Left and Right sides of the Cube, and with an Edge piece that has one of these two colors in a Top-Front position, with the Active color on top, determine the second color of Active piece. Rotate the Left and Right Columns together with each other, to bring the Corners with the second color on the front of the Active Edge piece to the Front of the Cube, so that the front second color matches the Corners color on the front.


PLACEMENT 2:

With your Active Color on top of the Active piece, and with the second color matching the front Corner color, you must determine which direction the piece will be moving: is the Active Color (Yellow or White) on the Left side or the Right side?


Use the appropriate Formula B to place the Active Piece. The two Columns being used are the Edge column where the piece will end up, and the middle column where the piece begins. This one will Place to the Left.


Use the mirror of Formula B to place to the Right.


RESET:

After placing the Active Piece either to the Left or the Right, return to SETUP above and continue until all the Yellow and White Edges are properly placed.


When all the Opposite Edge pieces are properly placed, and the Yellow and White Edges are all correct, proceed to the next step.

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All the Corners are correct and all but two of the Edges are correct. These last two Edge Pieces each placed in the position where the other one belongs. This situation can only apply if you have a Cube more complex than the standard 3x3x3 Cube.


Because of the mathematics of the Cube, there can never actually be two pieces misplaced, there are always three or more. The fact that it looks like there are two, means that an invisible center is also misplaced, being off by a quarter turn. This is what you would end up with if you tried to solve a 3x3x3 with only two of the Center Pieces properly aligned. If you Twist any layer which has a misplaced piece one quarter turn in any direction, the Cube will return to a traditionally solvable position.


DEMONSTRATION:




SETUP 1:

Hold your Cube so that one of the misplaced Edge Pieces is in a Top-Front position. This is your Active Edge Piece.


PLACEMENT 1:

Place this Active Edge Piece down to the Front-Left position using Formula B.


The Row that your Active Edge Piece ended up in is the Row that must be Twisted one quarter turn in any direction. After you have Twisted that Row, continue.


SETUP 2:

Look for the Edge Piece on the Top Row that does not have Yellow on it. This is the Active Edge Piece. Hold the Active Edge Piece in the Top-Front position. Keeping the Top Row stable, twist the entire rest of the Cube until the Front Color on the Active Edge Piece matches the color of the Bottom Corners on the Front face.



PLACEMENT 2:

Determine whether the Top color of your Active Edge Piece is located on the Left side or the Right side of the Cube as you hold it with the Front color facing you. You will be placing your Active Piece to that side, and use the appropriate Formula B to do so.


Because the Edge Pieces will be can be any color, the Active Color piece will be represented by the Color Purple with Purple being the color which will move to the Left or Right side.


Formula B will move an Edge piece from a Top-Front position into a Front-Left position. It's mirror movements will place an Edge piece from a Top-Front position into a Front-Right position.


Use the appropriate Formula B to place the Active Piece. The two Columns being used are the Edge column where the piece will end up, and the middle column where the piece begins. This one will Place to the Left.


Use the mirror of Formula B to place to the Right.




RESET:

Reevaluate the Cube Side Edges. If there are still Side Edge Pieces which are incorrect, return to SETUP 2 above.


When all the Side Edges are correct this time, the Yellow Edge Pieces will have resolved themselves to a solved state.

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With your Yellow and White Edges complete, Rotate your Cube so that your White side is face down, and Yellow is up.


Now is a good Time to check the status of the Absolute Center, if your Cube has a visible one. Even numbered Cubes (4x4x4, VOID, etc.) have invisible centers which we will handle later as needed.



The same Formula that worked on the Corners to bring your Active Color up to the Top face, will reposition the Absolute Center piece when applied to the Center Row and Column, as pictured.


DEMONSTRATION:






SETUP:

While keeping the Yellow side up and the White side down, rotate your cube so that the Yellow Absolute Center piece in on the front side of the Cube facing you. (If you cannot because the Yellow Center is on the White side, do Formula A using the Center Row and Center Column, and begin this paragraph again.

PLACEMENT:

Do Formula A using the Center Row and Center Column.


Now take a moment and rotate the Center Row so that the Absolute Center lines up with the Corner colors on all for sides as well. This will eliminate the need for a Parity fix later on.

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