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Thanks to all of you for your help clarifying the proof of my connjecture. I have credited you in my Man and Beast 14 update, and I also plan to mention it in pages 17 and 20 of the series. In the latter page I plan to drop the piece names Moses and Heracles in favour of seeing 90° orthogonal-hex diagonal alternators of this kind as "angle-" versions of 30° orthogonal-hex diagonal alternators with the same Even Move Direction. This still leaves those without a unique mapping, and I am thinking about reusing Moses and Heracles for two of them, but I am interested in other ideas for names of more of them.