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Man and Beast 03: From Ungulates Outward. Systematic naming of the simplest Oblique Pieces.[All Comments] [Add Comment or Rating]
George Duke wrote on Wed, Jun 17, 2009 06:05 PM UTC:Excellent ★★★★★
Actually Gilman has gone to at least surrounding set of squares 27x27 for some incomplete naming. Giraffe is (1,4) leaper pre-Gilman. Two Giraffe moves at right angles reach (3,5) Gimel, and those pieces are called duals with SOLL 17 and 34. It always works that way 1:2 in same sort of pairing as Knight-Camel and Wazir-Ferz. It's interesting. The omitted ''-rider'' squares are important too because they have basal unit starting with Knight etc. And to be addressed later I think multi-path Scorpion 3, Dragon 4 squares (not pathways), Phoenix 6, and Roc 7 are more aesthetic organization of squares. For example, using block of squares 23x23, a larger board than any formally in CVPage, PARVENU is (PARSON + (11,1)PAMEL). Those are duals, Parson and Pamel, as Parson is regular (6,5) leaper and its dual is (1,11) because SOLL of Parson is (36+25) or 61, and the one with SOLL twice that, 122, is (1,11). Expect PARVENU to be able to triangulate, as with any compound of duals. You can sort of play around with duals in that you have more information than you need. Either SOLL alone or the piece-type coordinates can get you to one's dual for each oblique co-prime. It becomes over-determined who the various counterparts are, oblique piece, dual, and compound. // (1) The first prime is 2 not 1. (2) Gilman has mentioned '06' and '08' and we will get to those.