Monday, December 12, 2011

[fduvtdnt] Inaccessible balanced positions

Consider all the positions reachable after two chess moves (perft 4 = 197281 positions).  Of those, which are approximately balanced (measured by computer)?  Of those, which cannot be achieved unless players trade very bad moves in the opening?

These might be candidates for starting positions which play like normal chess, but are not bogged down by opening theory because no one will have ever encountered them in a serious game.  Similar to Fischer Random Chess (Chess960).

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