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Symptom: You have an odd number of yellow edges facing up during the final layer. Formula (The essential one): [Rr]2 B2 U2 [Ll] U2 [Rr]' U2 [Rr] U2 F2 [Rr] F2 [Ll]' B2 [Rr]2 (Note: A good PDF will diagram this as a series of arrows, not just letters, because this is 15 moves long.)
Once centers are
This is the most notorious aspect of the 4x4. Because the puzzle has an even number of layers, situations arise that are impossible on a 3x3. These are called parity errors. You might encounter a single flipped edge or two swapped edges—scenarios that would signal a disassembled 3x3 cube, but are valid states on a 4x4. A good 4 by 4 cube formula PDF dedicates significant space to these parity algorithms. 4 by 4 cube formula pdf