There are no parities on odd layered cubes due to their defined centres (in the same way a 3x3 doesn’t have parities), so there is nothing different about the 3x3 stage on a 5x5 and a normal 3x3 Rubik’s Cube (other than of course the size). Next, construct another bar of the same colour, but make sure that this one has two corner centres and one inner centre.

Activating this checkbox the program will insert separators into the algorithm for a better readability.

PLL Parity becomes noticeable at the PLL stage due to the permutation of the top four edges upon completion of the orientation of the last layer. 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. The 4 centres on each side can now be treated as one, and each pair of two edge pieces can be treated as one edge. For bigger puzzles like the 11x11x11 you'll need more turns to scramble it properly so you can increase this number to up to 999 moves.

It’s fast and efficient, allowing you to solve multiple parts of edges at a time in its most advanced applications. Last two centres – Use commutators and puzzle knowledge to solve one of the last two centres, leaving the last centre solved. However, because there are no empty spaces in the top or bottom layers, we can’t connect them using the above method, we have to get creative. In the same way to the 4x4, you can solve two adjacent edges fairly intuitively whilst preserving your white and yellow centres that are on the left and right. In Figure 1, an example is shown of how the different layers have to be manipulated to construct the edges in their entireties.The best way to approach the last 4 edges on big cubes is look for pairs of pieces, whether they’re flipped or not. To build your first centre, construct a bar by attaching two of the inner centres to the defined centre piece. You should be able to apply your knowledge from the first two centres to build two adjacent centres without disturbing your original two. These puzzles may appear fairly complex and increasingly difficult as the number of layers increases, however their solutions remain relatively similar.