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Dan: Could you explain to me how you got the formula of you message

of 23 Aug. I can see more-or-less what you're doing, but I haven't been

able to parse the formula. Also, I haven't seen your notation before.

I take it that "U3" is equivalent to "D1'", except hold the D1 in place.

How do you represent half twists? Only by two quarters, or is there a

shorthand? From a group theory perspective, is it easier to talk about

hypermoves than slice moves? Will that also be true on the 5^3, 6^3, etc?

>From a solving perspective, it seems clumsy.

-- Stan

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