BrainKing - Panouri de discuţii (Chess variants (10x8))

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Chess variants (10x8)

Sam has closed his piano and gone to bed ... now we can talk about the real stuff of life ... love, liberty and games such as
Janus, Capablanca Random, Embassy Chess & the odd mention of other 10x8 variants is welcome too

For posting:
- invitations to games (you can also use the New Game menu or for particular games: Janus; Capablanca Random; or Embassy)
- information about upcoming tournaments
- disussion of games (please limit this to completed games or discussion on how a game has arrived at a certain position
... speculation on who has an advantage or the benefits of potential moves is not permitted while that particular game is in progress)
- links to interesting related sites (non-promotional)

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Mod: Toatã lumea poate afişa

Prima oarã aratã mesajele mai vechi

4. Noiembrie 2003, 23:15:16

Thad

arată ce a scris acest utilizator | arată strofa | legătură

Subiectul: Re: Total Number of Gothic Chess Positions

Ed,

Interesting calculation, but I think you can do better. Since this is only a count of board positions WITHOUT any captures, any given pawn can only occupy one of six squares, NOT sixty, right? Also, once a white pawn is advanced, this decreases the number of available squares for the black pawn in the same rank by the number of squares the white pawn is advanced and vice versa.

What you've calculated is that there are at MOST x board positions without caputres, but what we really need is to know that there are at LEAST x positions. ;-)

Still interesting, though.

Thad