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George Duke wrote on Thu, Aug 20, 2009 11:14 PM UTC:
Abdul-Rahman Sibahi's advice on the platform for introducing the first of the four fundamental chess pieces in the array, bolstered by some feedback from Joe Joyce, is holding up. On the one hand, gating brings about asymmetry hard to set aright(Sibahi). On the other, in what increasingly gets termed ''Pastchess'' -- the old tired 64-square paradigm -- it is almost self-evident Rook should stay cornered (Joyce). The antique simpler case (64) ramifies to necessary 8x10, a commonsense mathematical technique. Thanks Joe. Corroboration by Sibahi yields these three initial positions with thus no half-move half-measures of drop or gating, nor unnatural corridor outside the rectilinear box: RFNBKQBNFR, RNFBKQBFNR, RNBFKQFBNR. So Falcon is slotted and the other pieces stay the same. Why ''KQ'' and not ''QK''? Because ''White-right'' square pattern is preserved in the board with Queens on own colour. White-right and Queen-own are more important than having preserved ''...QK...'' One or the other had to go. Their question was, and is, independent of ARS's steering to RFNB... For some purposes, suggested by Hutnik's multiformations, all 24 arrays would still apply as a practical matter, those straightforwardly requiring central King and Queen but allowing Rook uncornered also. Such is the present state of the art: RNFB, RNBF, RFNB, RBNF, RBFN, RFBN, and 6 more each for Knight cornered, Bishop cornered, and Falcon cornered in turn. Total Falcon Random Chess arrays number 24 minimally, or very technically (all but irrelevantly), 48 if switching King and Queen -- usually considered to be isomorphic mirrors.

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