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stop it, you're killing me! i also have the same idea for combining

the "coordinates" in pairs, but i'm not getting too far implementing

it. :-( i wouldn't suggest using singmaster's notes for pattern

maneuvers. have you seen bandelow's book? it has very short

maneuvers for most patterns, including two different ones for

"walker's worm" in 14 turns (assuming i've got the right pattern in

mind). bandelow counts "slice turns" as one move, though, so

his maneuver for 6X (order 3) is 24 face turns.

what amazes me about this whole business is that the algorithm

finds very short moves when they exist. i would have expected

the program to produce maneuvers of approximately the same

length for all patterns. i would say that this is a major step

forward.

you'll probably be swamped with patterns to test, but here's a

couple:

stripes: (18) F3 U1 F2 U3 R1 B2 R3 U1 F2 L2 U3 L1 B2 L3 U1 L2 U3 F1. python: (15) R1 U3 F3 B1 L1 F2 L3 F1 B3 U3 R3 L1 F2 U2 L3.

since i found these by hand, i'm curious to see how close they

are to optimal. hopefully i'll have my program running soon.

mike