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Math Magic Archive

Problem of the Month (February 2015)

This month we are interested in another chessboard problem. What are the positions on an m × n chessboard using the most chess pieces (no pawns) so that each piece attacks exactly k unoccupied squares? For example, the best known results for 3 × 3 chessboards are shown below:

0
1
2
3
4
5
6
8

The corresponding problem for fewest pieces only seems interesting when k=1. What are the best solutions?


You can see all the best known results here.

Submit your answers here.

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