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69 votes
7 answers
17k views

What is a chess piece mathematically?

Historically, the current "standard" set of chess pieces wasn't the only existing alternative or even the standard one. For instance, the famous Al-Suli's Diamond Problem (which remained ...
2 votes
3 answers
1k views

Strategy-stealing in chess

Is it proved that white can guarantee at least draw in chess? A while ago I was told that it was proved using strategy-stealing, but I cannot find a reference. Postscript. Please accept my apology ---...
11 votes
1 answer
464 views

Nonattacking configurations of $k$ bishops on an $m$ by $n$ rectangular board

The number of ways to place $k$ bishops in a nonattacking configuration on an $n$ by $n$ square board is a known and can for example be found in http://problem64.beda.cz/silo/...