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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. After you’ve completed all eight of the first edges (shown in Figure 4), you need to solve the last four edges. There are 21 defined PLL cases – These are cases that can appear on a 3x3 cube, there are no more combinations of pieces. Once you’ve solved four edges, flip the cube and solve another 4, placing them on the (now) top layer.

Activating this checkbox the program will insert separators into the algorithm for a better readability. Even though I don't really understand how the number of combinations are determined or how some of the larger cubes work, it still fascinates. 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. I have added spaces in the "Combinations" numbers so that they would wrap properly with your web browser.If this is not possible then the lightest face on the top and the darkest adjacent face on the front.

There aren’t any awkward cases, and if two edges aren’t opposite one another as shown in Figure 6 (this is shown in Figure 7, where the leftmost green edge pairs with the rightmost red edge) then you can just do the flipping algorithm on one of the edges to positon them then perform the above combination of moves to solve it. It’s fast and efficient, allowing you to solve multiple parts of edges at a time in its most advanced applications.However, the most common of these upgraded Rubik’s Cubes is as simple as it sounds: like the 3x3, but bigger.

The odd layered edge pairing system is very similar to that of the 4x4 edge pairing, but on a larger scale. 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. Next, construct another bar of the same colour, but make sure that this one has two corner centres and one inner centre.After performing the flipping algorithm, the piece has swapped places with the “location”, meaning it’s now in place. Last two centres – Use commutators and puzzle knowledge to solve one of the last two centres, leaving the last centre solved. The best way to approach the last 4 edges on big cubes is look for pairs of pieces, whether they’re flipped or not.

If you’re solving anything larger than a 4x4, however, then the 5x5 edges section may be better suited for this part of the solve. This is enough to scramble a 2x2x2 Pocket Cube and a Rubik's Cube but for the 4x4x4 and bigger cubes we need to reach the inner layers too. Next, you can put your now solved centres on the left and right of the puzzle and solve two more adjacent centres. The last four edges are mostly intuitive for bigger cubes, just try and use logic and what you already know about edge pairing and the flipping algorithm to learn some of the most common cases and how to recognise and solve them quickly and efficiently.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. Some have changed the shape completely from a cube to a cuboid (and various other shapes), some have only seen simple sticker modifications.