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Questions tagged [mathematics]

Questions concerning the mathematics of the game of chess, or chess-related mathematical pursuits.

4 questions with no upvoted or accepted answers
3 votes
0 answers
40 views

Maximum saved moves to win caused by zugzwang

For a zugzwang where x>y and: If white has the move, White can force checkmate in x full moves If Black has the move, White can force checkmate in y full moves The score of such a zugzwang is x-y....
Lucenaposition's user avatar
2 votes
0 answers
62 views

Incorrect upper bound on number of possible chess positions (10^41)?

I've written a script implementing a basic idea to count the number of chess positions. I've not even accounted for legality of the positions or difference in light and dark square bishops. Despite ...
Yash Jain's user avatar
  • 535
2 votes
0 answers
54 views

Estimate the max length of chess game under WFCC?

The World Federation of Chess Composition (WFCC) has a Codex that specifies how the FIDE Laws apply to chess problems. Can you give a ballpark estimate of the length of the longest game possible under ...
Laska's user avatar
  • 13.1k
2 votes
0 answers
97 views

What is the longest sequence of increasing White moves with only White pieces?

Inspired by a comment by @Evargalo on this question, I ponder how long a sequence can last where each turn, White has more available moves than the previous turn, in a situation with only White pieces ...
Rewan Demontay's user avatar