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The odd layered edge pairing system is very similar to that of the 4x4 edge pairing, but on a larger scale. This can be solved using an algorithm that is relatively long and difficult to remember (you may hear speedsolvers complaining of OLL parity because of the added time it takes to correct the parity, slowing down their solve). The method involves a few simple steps that are used to “reduce” the puzzle to the equivalent of a 3x3. Try finding one (if not, simply build it by doing at most 2 moves), and then find another to insert next to it.

To solve this case, a Uw’ move would push the incorrectly placed orange-blue piece out of the way and match the correct orange-blue piece with the centre edge piece (shown in Figure 6). To put those last numbers into perspective, some scientists believe that there's "only" about 10Some have changed the shape completely from a cube to a cuboid (and various other shapes), some have only seen simple sticker modifications.

Once you have an edge finished, you can do the following moves to swap the edge you’ve made with an unsolved one on the top layer (in this case, the edge in the UB position) – R U R’. If, in Figure 5, the two orange-blue edges on the right were correctly oriented (they matched), then you’d be able to place the last edge piece by performing a Dw’ (bringing the “location” of the final piece underneath the actual edge piece), performing the flipping algorithm and undoing the slice with a Dw. Remember – Because you’re solving an even layered cube, this means that there is no single centre piece.After performing the flipping algorithm, the piece has swapped places with the “location”, meaning it’s now in place. Combinations: 11 594 693 610 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 (1. These puzzles may appear fairly complex and increasingly difficult as the number of layers increases, however their solutions remain relatively similar. You should be able to apply your knowledge from the first two centres to build two adjacent centres without disturbing your original two. Parity is the name given to an unpredictable outcome as a result of unpredictable/uncontrollable variables.

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. You will have noticed that, now each edge has been solved and the centres have been separated, the cube resembles a big 3x3. Using only outer layer moves, the 4x4 can be solved just like a normal 3x3 cube – Building the cross, then pairing corners and edges to insert them (F2L), orienting the last layer pieces ( OLL) and permuting them to finish ( PLL).Even though odd layered cubes have many centres, there is always one that is directly in the middle of them all.