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Man and Beast 03: From Ungulates Outward. Systematic naming of the simplest Oblique Pieces.
George Duke wrote on 2009-06-22 UTC
M&B03 is pivotal. Square of leap length. 1,2 Knight's SOLL is 5, that's odd, so Knight is not colourbound. 1,3 Camel's SOLL is 10, that's even, so Camel is colourbound. Knight switches from one Bishop binding to the other each move, right? Therefore N cannot return to the same square in three, only two, four etc. Compounds of duals triangulate, but compound of any two single leapers not duals may or may not. For ex., Gazelle (N+Zebra) colourswitches, like each of its legs, and so needs 4 (or 2 trivial case) to return. 5,2 leaper half-ungulate Satyr has SOLL 29, Saturn's year in fact. 25+4=29. x2=58, which requires 49+9 and obvious 7,3 for dual Samel. Among the dozen and more duals (depending how far out we go), 6,1 Flamingo and 7,5 Famel are called triangulating compound Flambeau, good one, that will fit onto even 8x8, bound to the double outer perimetre for my Problem Themes, only unable to reach the centre 4x4, a safe haven from burning by the Flambeau. The math is 36+1=37. x2=74, and 7^2 + 5^2=74. FLAMBEAU is a torch such as carried by Shakespeare's Lady Macbeth. --'Tis unnatural, even like the deed that's done. On Tuesday last, a Falcon, towering in her pride of place, was by a mousing owl hawk'd at and killed. Act II scene iii Macbeth.

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