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Because you’ve had to build the centres yourself in the correct orientation (due to the lack of a single defined centre piece) and there is no way of telling if your centres are actually correct, there is a possibility of parity occurring in two different ways.

You should be able to apply your knowledge from the first two centres to build two adjacent centres without disturbing your original two.However, the most common of these upgraded Rubik’s Cubes is as simple as it sounds: like the 3x3, but bigger. Last two centres – Use commutators and puzzle knowledge to solve one of the last two centres, leaving the last centre solved.

This is one of the simplest stages due to the low number of combinations, hence the necessity for only one algorithm (this algorithm can also be utilized throughout the first 8 edges stage to correctly position an edge piece).For each step a walkthrough will be provided for the 4x4 and 5x5 cubes, as most even-layered and odd layered puzzles share the same properties (4x4 and 6x6, 5x5 and 7x7 etc. Some permutations demonstrate this – The J and T permutations swap two edges, but they also swap two corners, without which the edge swap would be impossible.

It has been enhanced with a couple pictures, and still remains the simplest solution I can find that works for cubes from 2x2x2 through 7x7x7 (and further). If you know all of the PLL algorithms then noticing PLL parity will be easy for you – if the permutation of the pieces does not match a PLL algorithm that you already know, then you know you have parity.As shown in Figure 1, an edge has been made by slicing across to match up two pieces (to align two pieces, simply insert the matching piece like an F2L pair using R U’ R’ moves). If you can solve the 4x4x4 and the 5x5x5 cubes then you can complete any size, even the 22x22x22 cube or the record-breaking 33x33x33!