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George Duke wrote on 2008-09-21 UTCExcellent ★★★★★
Jumper as piece-type. The greatest utility is thinking of sliders as special case of larger category multi-path (to be continued). Old-fashioned terms, when variants were more arcane field, are leaper, slider, rider, hopper, as in George Jeliss' ''All the King's Men.'' Old also twenty years now from 1990 are ''multi-path,'' and two-way; three-way or three-path came in 1992; four- and more 1996 for four-stepping Scorpion. In the oldest Glossary (Jeliss) is ''Darter'' for blockability along radial lines of Bishop and Rook. Darter would have to be piece-type unto itself but for newer convenience of ''Multi-path'' designation(t.b.c.) Then a decade ago, after all the foregoing, appears in CVPage glossary term lame equivalent to darter. Betza chose to use ''lame'' in two articles after 2000 for Dabbabah and possibly Alfil. Newest term of all is bifurcation piece for Winther's inventions, constituting new piece-type. Leapers of real utility only number five, Dabbabah, Alfil, Knight, Camel, Zebra. Of those Knight occurs over 95% of instances of leaper and all others 5%. Are there still other Leapers? Hardly any reduced to practice with much frequency. Lavieri's Altair's Grand Bishop compounds with what Jeliss calls (3,3) Tripper. Betza's Half-Duck is compound of what Gilman calls(0,3) Trebouchet + D. + Ferz. Does that exhaust Leapers in actual CVs outside the standard box of five (N,D,A,Camel,Z)? That's over 99% of the usages, NDACZ -- like perhaps 99% of openings exclude Rooks' Pawns. I know several dozen others (the 1%) no one would be interested in besides Gilman and myself. So, Leapers implemented are the smallest category of piece-type. On 8x8 theoretically would there be only the 63 simple leapers? Presumably that is the moot point, because only the five get, or likely to be, used. Leaper, headed by this Knight, predating Chess, is one conveninet category of piece-type, fully exhausted by five all of the above, as a practical matter.

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