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Here's one real zigger and zagger, optionally. It takes two to zigzag. 12-year-old Dragon five-stepping has such moves in the same general direction as orthogonal-diagonal-orthogonal-diagonal-orthogonal, doodo, oddod, dodod and so on. See text where it can be read the old-fashioned way. Dragon to her various squares is six-, five-, or four-way, I believe. Truthfully, they have to be recounted each time when it gets to Dragon, Phoenix (six-stepping), Roc, described in comments with Abdul-Rahman Sibahi. What goes around comes around.