2.Edges_Goal 5: Undo Parity - Last 2 Edges (as needed)

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.