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H. G. Muller wrote on Sat, Mar 1 05:04 PM EST in reply to Daniel Zacharias from 04:41 PM:

I suppose the 2-step cannot pass a turn.

BTW, the parentheses appear to be a tricky way to combine the backward and all other directions in a continuation step of a single atom. (Nice find, but perhaps a bit non-obvious.) It might be inefficient to not have a 1 behind it, though, as now it is expanded as maKmabKmabbKmabbbK...