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

Moderator:

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)

Lista posturilor afişate

Mod: Toatã lumea poate afişa

Prima oarã aratã mesajele mai vechi

3. Septembrie 2004, 20:30:07

Thad

arată ce a scris acest utilizator | legătură

Subiectul: Re: Gothic Chess NIM.......(OT)

This game seems pretty easy. have seen ones similar to it, but I don't recall the details.

It seems to me that P2 needs to clear a row whenever P1 does. In addition to that, if P1 removes and even number of pieces, P2 should remove an even number as well, careful to remove only as many (or fewer) as P1 did. This will assure a win for P2. This will work for any even sized board (8 x 8, 10 x 10, etc.) and for any initial layout as you described.

If the game is played on an odd sized board (9 x 9, 13 x 13, etc.) the situation is reversed and P1 should always win by removing an odd number of pieces on his first turn.

Thad

PS: Chessmaster1000, I am quite interested in item such as this. I have a degree in Mathematics/Coputer Science. Please PM me if you care to discuss math more. I have been working on a proof of the Collatz conjecture lately. ;-)