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Lesson 4 of 6

Parity when needed · Lesson 4

Repair a flipped edge group

Fix the flipped edge group in the odd-parity case, then return to the usual yellow-cross step.

Before you start

The centres are solved, all edge groups are paired, and the first two layers of the reduced cube are solved.

How to hold your cube

Hold the cube with yellow up. Place an edge group with yellow facing sideways at top-front (UF).

1. Recognize OLL parity

Ignore the corners and count the edge groups with yellow facing up. Once the first two virtual layers are solved, a count of one or three indicates OLL parity. OLL refers to last-layer orientation.

Every edge group must already contain two matching wings. If a group has two unmatched wings, return to edge pairing. For OLL parity, look for a flipped edge group whose wings already match. If zero, two, or four edge groups have yellow facing up, use the ordinary 3×3 yellow-cross cases.

2. Place the target edge group at top-front

If three edge groups have yellow facing up, place the fourth group at UF. If only one group has yellow facing up, place any of the other three at UF. Flipping that group gives you an ordinary two-edge case.

Use a sideways whole-cube rotation or U before the sequence as needed. Keep yellow up at the start.

3. Follow the full repair sequence

Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'

Work through the sequence in the groups shown below, keeping the letters in the same order.

  1. Rw U2 x
  2. Rw U2 Rw U2 Rw' U2
  3. Lw U2 Rw' U2
  4. Rw U2 Rw' U2 Rw'

Rw and Lw each turn two layers. For x, rotate the whole cube in the direction of R, then use the new face directions. Wait until the repair is complete before checking the centres.

4. Return to the solve

Once you’ve completed the full sequence, reorient the cube with yellow up. Check that the centres and edge pairs are restored. Count the edge groups with yellow facing up again. If the cross is still incomplete, return to the yellow-cross lesson.

This repair corrects the edge orientation. You may still need to solve other last-layer pieces to finish the cube, and PLL parity can still occur later in the solve.

Need a reminder of the move notation?

R right · L left · U top · D bottom · F front · B back. A plain letter means a 90° clockwise turn as you look directly at that face. An apostrophe (′) reverses the direction. A 2 means a 180° turn. Keep the same face toward you throughout the algorithm.

Rw turns the rightmost two layers together. 2R turns only the second layer from the right. 3Rw turns three layers. x rotates the whole cube like R, so the old front becomes the new top.

Watch, then try

Work through an example

Start by going through the example one move at a time. It shows a specific action from a prepared position. Use the lesson’s setup instructions to recognize when that action applies to your own scramble.

Watch one worked example

The prepared cube has its flipped pair at UF. Notice the whole-cube x rotation, two-layer wide turns, and the restored edge pair at the end.

Example grip: yellow up · blue front · red right at the start. Follow any written whole-cube rotations.

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Loading 3D cube…

Drag to inspect other faces. Use the arrow keys to rotate the view when the cube has focus.

Copy this exact example on your own cube

Start with a solved 4×4, with yellow on top and blue at the front. Apply the setup below from left to right to create the example’s starting position. Keep this practice setup separate from the scramble you’re solving throughout the course.

Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 Rw' x' U2 Rw'

Then follow the lesson sequence. If your cube’s colour scheme differs, match the piece relationships using your own colours.

Compare the starting position and the result
Before the example
After the full sequence

Drag each cube to inspect its other faces.

Explain it to yourself

Check your understanding

How wide is Rw here?

Now use your own cube

Your turn

If you encounter this case during a solve, pause at the yellow-cross step. Put the target at UF, complete every move in the sequence, then return the cube to yellow up and identify the new yellow-cross case.

Open a 4×4 Digital Cube for practice

Opens in a new tab so you can keep this lesson open while you practise. Check for yourself whether you’ve met the lesson goal. The Digital Cube doesn’t grade your work.

If you get stuck

The front face in the animation changed during the sequence.

For x, rotate the whole cube and use the new face directions for the remaining moves.

My cube is still unsolved after the parity repair.

Recheck the yellow cross and continue with the usual last-layer steps. This repair corrects only the flipped edge group.

Before moving on

Check your result

4×4 lesson result. Flipped edge group corrected. The edges are paired and yellow-edge orientation is back to normal. This example has a yellow cross, and the corners still need solving.

Your cube at this stage

Flipped edge group corrected

The edges are paired and yellow-edge orientation is back to normal. This example has a yellow cross, and the corners still need solving.

Confirm these on your cube. Watching the animation alone does not complete the lesson.

Check off each item once you can do it yourself.

Scan your cube

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Tap “Open scanner” to scan your cube in the app on this phone. Return to this browser for the solution.

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  3. Follow the instructions in Cube Solver.
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