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You will notice sometimes that you’re left with PLL parity at the end of some solves (two edges seem to have swapped places with no other affected pieces). 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. However, the most common of these upgraded Rubik’s Cubes is as simple as it sounds: like the 3x3, but bigger.

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). Try finding one (if not, simply build it by doing at most 2 moves), and then find another to insert next to it. The odd layered edge pairing system is very similar to that of the 4x4 edge pairing, but on a larger scale.If you’ve built the green centre and you’re moving on to the centre adjacent to its left, just look at the defined centre and build that colour using bars. Orient: On official WCA competitions cube puzzles and Megaminx are scrambled with the white face on top and the green face on the front. If you are familiar with the notation of a classic 3x3x3 Rubik's Cube then you must know that this affects only the outer layers of the puzzle.

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). A 3x3 has 1 edge piece per edge and 1 centre per face, whereas a 4x4 has 2 edge pieces that make up one “edge” and 4 centre pieces which make up one “centre”. There is no way of knowing on a 4x4 (or any even layered cube) if you’ve solved the centres correctly in relation to the core mechanism.In Figure 1, an example is shown of how the different layers have to be manipulated to construct the edges in their entireties. Now just realign your centres so they’re solved again (if your centres can’t be solved with Uw moves after you’ve done the first eight edges, then you’ve done something wrong and need to go back and rebuild the centres). The second centre will be opposite the first, so the only difference in solving is that you have to undo certain moves to preserve the first centre.