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George Duke wrote on Mon, Jan 2, 2012 08:33 PM UTC:
[the compound at end now has corrected value and name, 3.Jan.12.] DaDaDa and DaDaDay and DaDaoDa are different but related Dabbabah-riders, each having the same maximum reach. Enforced orthogonal 'o' first leg to second is one of the Joyce/Paulowich ''Daisy'' pieces, here DaDaoDa. Omitting the 'o', DaDaDa is also required three-stepper of six squares, DaDaDa, its two changes of direction allowing either 0 degrees or 90 degrees. And adding the 'y', ''optional,'' DaDaDay alone of these first three examples can stop only four squares removed from any given departure square. __________________________The others having the same maximum move length but different footprints based on only strict component-Dabbabah legs: DaDaDao, DaDaDaoy, DaDaoDao, DaDaoDaoy, DaDaoDay; DaDayDa, DaDayDay, DaDaoyDa, DaDayDao, DaDayDaoy, DaDaoyDao, DaDaoyDaoy, DaDaoyDay. So there are 16 p-ts closely related and subtly unique. More multiply can be generated by restricting to Gilmanesque FO, Forward Only, one or more legs, as well as other combinations involving sideways and backwards too in the mix. The eight above with 'y' in the middle leg can stop after the Dabbabah first step. All together, expect there to be easily over 100 definably reasonable p-ts technically that are each having the same up-to-three-step Dabbabah-rider mode based on the Joyce/Paulowich ''Daisy sub-class 3'' and not higher to 4 and more(a couple listed not permitting even their Daisy-stalk bend let alone any double-bend of others). Far the majority of the approximately 3000 M&Bxxs named p-ts -- still considerably less than the <10000 sometimes mentioned casually as approximation for M&B01-21 -- are devised and named in situ without ever appearing in any concrete CV. Above, short- to mid-range Dabbabah alone, using the Sequential SuperClass piece-type generator methodology on Joyce/Paulowich invention(s), yields that 100 or so piece-types; and the same number exist from Alfil, also treated separately to practical Sequential application, 100 Alfil-riders up to length 3 steps or 6 squares. Every one of these is good, solid mid-range-at-most piece-type out of just one atomic unit, having utility on boards under 257 squares. All to follow and critique will continue that Gilman-initiated name-as-you-go with no mis-direction. To the extent ''Lords High Everything Else'' conveys a sense of completion, ever to say is that it is not so; for every new or old entry a thousand-fold continuations. _________________________For example, consider the piece-values of any, and all as to range, of these Colourbounders. Joyce and Paolowich's main DaDaoDa is worth the 3.0 points of very comparable Bishop upon boards 8x12 to 16x16. Therefore, each of 100 Dabbabah-riders up to 3-st/6-squ are well worth considering bi-compounding with each of 100 Alfil-riders: 10,000 compounds total to choose among, fortunately all pre-named, each worth in the Range of 5.1 to 8.9, more than the Rook and less than the Queen all boards. Of course, actual designers will have their preferences for particular CVs and narrow them down. For example, compound (DaDaoDa + AlAlydAlyd) is moderate compound close to 6.4 by being Mover Either precisely as Joyce's stalked Daisy [here so far, Dab. only not W.] 6 squares allowed to turn 90 degrees the last leg OR if using the Alfil half, there is no such change of direction but can stop at 1,2, or 3 steps to the second, fourth, or sixth square out diagonally if no obstruction(s).

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