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Punning by Numbers. A systematic set of names for cubic-cell oblique pieces.[All Comments] [Add Comment or Rating]
Charles Gilman wrote on Tue, Jan 24, 2006 02:01 PM UTC:
Of A. Black's groupings, the first 3 are radial (the Wazir, Ferz, and Viceroy of Constitutional Characters) and the 6th is the pieces which are straight extrapolations of 2d ones (From Ungulates Outwards). Most of the pieces on this page are of the last group, inevitably including every triangulator except the Sexton. This leaves the two n:n:p groups as the most interesting. Pieces named alluding to width (Wideplayer, Feaster, Expounder, Broadwayman, Wiremaster) are all in the pn group (Longplayer, Dieter) or have three different coordinates (Propounder, Highwayman, Loremaster) but always have the longest coordinate greater than the sum of the others. It may be significant that the one genuine pair of duals comprises the Ninja (pn). On the other hand unbound, Bishop-bound, and Unicorn-bound pieces may all be found with two equal shortest (Fencer/Sexton/Elf), two equal longest (Ninja/Legionary/Underscore), or three distinct coordinates (Overscore/Fortnight/Oddfellow). Where A. Black's groupings are perhaps notable is in the Forward-only pieces which have four directions for two equal shortest cordinates or a zero coordinate, and eight for two distinct nonzero shortest ones.