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I treat the diagonal case as a front + rear swap case (do U or U' then do diagonal swap sequence, or use the 9 turn sequences I use). I do U turn until I see either 2 orange corners or 2 green colors on front top. For orange corners at top front, I look for green on left corners and/or blue on...

Especially in my case, as I spend about 2/3rds of my solve time doing first two blocks, 1/3rd on CMLL and last six edges. I'm not doing any look ahead for first two blocks, and that is where I could make the most improvement. One point in favor of permuting corners first is that it's the same 9...

Ok, so if corners are oriented first, it's easier to spot them, but you need to memorize a longer turn sequence, (J-perm (maybe twice), or learn J-perm and Y-Perm). I had the impression that some of the non-Sune corner orientation algorithms shown in some beginner Roux methods do permute corners...

Most beginner's roux examples use Sune (once or twice as needed) to orient the corners (which doesn't permute them), then do J perm (13 turns) twice or Y perm (17 turns) to permute corners. If corners are permuted first, a 9 turn sequence where only the 5th turn varies can be used to swap front...

Forgot to mention, I still have those original 2x2, 3x3, 4x4 Rubik's cubes and original 5x5 Professor's cube, but they're difficult to turn. I could try to lube them, but I just have them for display now.

It might help to know that this pattern only occurs when there are an odd number of pairs of edges flipped, and that one of those pairs in the image is one of the flipped pairs (I don't know how difficult it is to identify flipped edges before solving nearly all of them). You can use the 12 turn...

I bought a Rubik's cube back in 1980. After messing with it for a bit, I figured out how to disassemble and reassemble the cube, to make it easier to note changes made by turn sequences. I ended up solving layer by later, top, middle, bottom, only looking for algorithms for the bottom. For the...