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New 3D Leapers. Leapers restricted to the diagonal and triagonal patterns of the 3D field.[All Comments] [Add Comment or Rating] Charles Gilman wrote on 2004-09-02 UTC
Having studied these ideas offline, I can see your 'simple' diagonal-pattern pieces for the compounds that they are. In cubic-cell geometry, all the orthogionals are the same angle to each other; the diagonals are not. Turning between the move of two steps diagonally and that of 1 differs immensely depending on whether the turn is through 90°, 120°, or 60°. The first is indeed the dual of the usual Knight's move, and so a piece with such moves is indeed a Camel. The second is the dual of the move defining a hex Knight in Glinsky terminology, and the third that of the move defining a hex Knight in Wellisch terminology (which Glinsky would presumably consisder a Ferz). Would you consider the 'true' hex Knight (if such a thing exists!) the piece combining the moves of both hex pieces?