All Questions
Tagged with mathematics pieces
5
questions
8
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1
answer
556
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Which collections of pieces are legal?
Call a collection of (white and black) chess pieces legal if it occurs in the position of a legal chess game. For example, KQRRBBNNPPPPPPPPkqrrbbnnpppppppp is the collection at the beginning of the ...
- 780
3
votes
1
answer
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What is the minimum number of pieces needed in a chess set to account for all possible promoted pieces?
How many pieces would be needed in a chess set where all possibilities for promoted pieces are included if pawns are no longer used after they promote?
user11382
2
votes
1
answer
858
views
What's the average piece density?
In a position, the piece density is equal to the total number of pieces on the board (Whites pieces + Black pieces) divided by the total number of squares (64).
At the beginning of every game, the ...
- 4,894
3
votes
1
answer
331
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Taxicab distance for bishops
I have two questions related to defining distances in chess. On this wiki page, this subject is briefly touched, by saying that the taxicab (also called Manhattan) distance is used for rooks, which as ...
6
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3
answers
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How many possible combinations for the number of pieces on the board?
My question concerns the total material available on the chess board (black+white pieces). At the very beginning of a game, there are 2 Kings, 2 Queens, 4 Rooks, 4 Bishops, 4 Knights and 16 pawns. ...
- 169