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Results tagged with mathematics
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user 7297
Questions concerning the mathematics of the game of chess, or chess-related mathematical pursuits.
1
vote
Endgames: How was "maximum moves required" determined before tablebases?
Well, it is calculated by tablebases. I can't imagine anybody declaring a definitive number for the minimum moves needed to achieve checkmate with KQ vs. K.
- 25k
7
votes
Stalemate situation with all pieces on the board
To answer the second part of your question:
Suppose all figures are on the board. Does there exist a transposition of figures such that both of the opponents can't do any move (a stalemate)?
No, …
- 25k
22
votes
Accepted
Least number of moves to achieve a complete switchover of nonpawns in starting setup
As @chakerian's calculations show, 40 moves is the minimum. After a bit of puzzling, I found the solution.
[FEN ""]
1. a4 {First, we need to get the rooks in position. They'll be hard to swap once th …
- 25k
3
votes
Accepted
What is the total number of KNN vs K checkmate positions?
TL;DR: 120
You're on the right track, but combinatorics can be hard sometimes.
If the black king must be in the corner, just pick a1. If the white king is on c1, one knight (the white one below) must …
- 25k