Check out Glinski's Hexagonal Chess, our featured variant for May, 2024.


[ Help | Earliest Comments | Latest Comments ]
[ List All Subjects of Discussion | Create New Subject of Discussion ]
[ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]

Single Comment

Falcon Chess. Game on an 8x10 board with a new piece: The Falcon. (10x8, Cells: 80) [All Comments] [Add Comment or Rating]
💡📝George Duke wrote on Fri, Jul 20, 2007 01:17 AM UTC:
Thanks a lot, Jeremy, for analysis of highlights of the Falcon model of coherent piece development. Remarkable the co-equality of Knight and Bishop on 8x8! Yet it breaks down by 9x8 or 8x9 where B>N, and smaller would be N>B. So, probably it is coincidental (like Sun-Earth-Moon 400 factor?). Competing philosophy is expressed by Larry Smith 22.March.04 under 'Game Design' thread: 'If a game was populated with pieces of near equal value, the advantage of exchange might not be significant. But if the pieces were of various degrees of value, enough to clearly differentiate them, exchanges would hold the potential of an advantage. Then a player can make sacrifices to obtain positional advantage.'  There we developed formula M = 3.5Zt/(P(1-G)), where P = Power Density(Betza), G = Smith's Exchange Gradient[quantified by myself], t = piece-type density, and Z = Board Size in number of squares, used to calculate M, game length(number of moves expected average).  [Mike Nelson named what Betza defined 'Power Density']