"How did you find these algorithms? More to the point, how did you
recognize them when they'd been done once?"
-I didn't actually invent them myself (I wish I had that capacity though). I just figured out what I wanted the cube to look like, so that perfoming twice the sequence that got us there would produce the desired outcome. Then I used "Cube Explorer" to find the algorithms that would generate the cube that I had constructed. I don't know if you've had the joy of working with 'cube explorer' before, but I've found it to be extremely useful. You can download this at www.home.t-online.de/home/Kociemba/cube.htm or, as I usually do, you can follow the link off of Jessica Fridrich's web page.
"Maybe I'm lifting this out of context, or you are using some extra
restrictions, but this is not true. Try:
U' L2 R2 D' F2 D' L' R F U2 F' L' R U'
twice for a edge pair flip, or this classic:
L' F2 L U' B2 U
twice for a corner pair twist."
-you are right. I was working with sequences that were only allowed to flip/twist pieces if they also moved them. With this restriction my statement is correct...but I was wrong in assuming that this covered all possible sequences, so I was forgetting that I'd restricted myself....I'm feeling a little ignorant at this point.
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