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Switching. Bishop and Knight (and Falcon) switch both rank and file each move. Rook switches only one or the other. 'Triangulate' even Kasparov has heard of and uses descriptively. Triangulation is a regular chess term. King triangulates because he can return to the same square in three moves. Most CV pieces can return in two (feel free to make up a name for it) just by the reverse move, but there are exceptions, such as Shogi Fragrant Chariot or Lance (FO Rook). Other exceptions are both Falcon and Hunter of Karl Schultz' Falcon-Hunter from 1940s. Queen triangulates, but Knight, Bishop and Rook cannot. For an anti-monarchist Gilman is yet partial to royal names, preserving them or inventing them. See for yourself Diarch, Dowager, Regent, Grandduke, Duchess. More in keeping with realpolitik are Gilman's USURPER, HERETIC, and BESEIGER, UNICORN enhancements all. Here are two already intermediate questions: <1> Does enhancement of Unicorn by Ferz to HERETIC enable him to reach only 1, or 2, or 3, or all 4 bindings? <2> Does enhancement of Unicorn by Prince to USURPER enable her to reach 2, 3, or all 4 bindings? (Hint of thought process: Unicorn is the nonstandard cubic diagonal mover of one binding only.)