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So Blank_Registration challenged me to rediscover his method for solving his Speed Dial cutaway locks using only the wheel colorings. I wasn't optimistic; I've tried before without success, and spent a couple fruitless days this time around too. But today!! I managed to find *an* algorithm, and time will tell if it's the one Blank_Reg had in mind.
I'm working on a fuller writeup that'll appear on my site when polished, so this update may feel pretty content-free. I think it's neat that the algorithm can be worked without needing to reset the lock, and has an upper bound of maybe 47 moves to solve an arbitrary cutaway!
(this is not expected to make sense :P)
4 (to find final move direction)
3 (to find appropriate move in unaffected direction)
1 (align final wheels)
5 (calculate offset of perpendicular wheels)
6 (max perpendicular wheel offset correction)
1 (realign final wheels)
5 (calculate offset of last wheel)
6 (max last wheel offset correction)
1 (realign final wheels)
5*2 = 10 (max to step unaffected wheel into place)
+ 5 (max to step final wheels into place)
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47 steps to solve arbitrary cutaway