The cube is broken down into corner and edge pieces (as the centers never move relative to each other). There are then 12 edge pieces and 8 corner pieces. Normally, when solving the cube, you use a layer-based approach. This means you don't go side-by-side, but instead, solve the first side and its edges, then fill in the middle slice, then solve the last layer. In my speed case, I use a CFOP (Cross, F2L, Orient last layer, Permute last layer) approach. For more information you should check out this link.
For blindfolded solving, though, the method for actually solving the cube is much simpler. It relies on basic principles of the cube and is intended to minimize the amount of thinking required to actually solve it, in order to improve memorization and retention. My blindfold method goes through simple steps: First, I orient the corners. This means I make sure they're either facing up or down. After that, I permute the corners, which places them in their respective positions. After that, I orient and permute the edges in one step. After all is said and done, the only thing I'm left with is possibly to re-orient an edge or two, and fix parity, or a special case where two edges and two corners must be moved at the same time, when necessary.
For you cube buffs out there, this method goes like this: Commutators fix corner orientation, then I use the Pochmann method for corners (but shooting to UFR instead of RFD using the normal Y-Perm). If there's an odd parity, at this point, I also execute a Y-Perm, swapping UBL and UFR and fixing the UL and UB edges. I resolve this later. Then, I use Pochmann's M2 method to fix edges. If we had parity earlier, I do this algorithm: M2DS2-(Y-Perm)-S2D'. After that, I finish off possible edge orientation left over from shooting to the M slice during M2 or edges that may have been correctly placed but oriented wrong in the beginning.
Interestingly, I memorize all of this information backwards. That is, I memorize my edges first, then corner permutation, then corner orientation. This is because of the way I memorize them. I memorize edges in pairs of letters, and as I go along, these pairs are converted into words. At the end of my edge memorization, I have a sentence (usually nonsense) that I'm unlikely to forget. Then, corner permutation is a sequence of numbers. I can't really leave this in my head, but I can repeat it to myself while I memorize and solve the next part. Corner orientation is memorized visually, either in pairs of corners, where one needs to be turned clockwise and the other counterclockwise, or as triplets where all three corners need to be turned clockwise or counterclockwise. If I must, I tap their faces to help me. This way, the information I am most likely to forget is taken care of first.
This system, though a bit complicated, works out well for me. I hope to improve it and improve my memory over time.
On another note, YUP has released two prods this month! Pics:
The top one was a co-op with Outracks and Kvasigen, and an invite to The Gathering 2011 in Hamar, Norway. You can download that here on Pouet. The other one was a small noise demo. For some reason tons of people are producing TV noise effects, for fun I suppose :) . We did one, and yes, it was fun!! That's here.
All for now, see you guys :) .
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