TimeSpaceLightForce Posted March 17, 2016 Report Share Posted March 17, 2016 How many chess pieces you can place on a chessboard without forming a square? (the center of every piece must coincides middle of board squares) Quote Link to comment Share on other sites More sharing options...
0 Toadman Posted March 21, 2016 Report Share Posted March 21, 2016 63? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2016 Report Share Posted March 21, 2016 I think the OP is asking: "without any four of the pieces forming a square." And, be careful: its sides needn't be parallel to the edges of the board. Quote Link to comment Share on other sites More sharing options...
0 tojo928 Posted March 30, 2016 Report Share Posted March 30, 2016 Spoiler I got 32 this way. No proof it's the most x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 2, 2016 Report Share Posted April 2, 2016 On 3/30/2016 at 11:00 AM, tojo928 said: Hide contents I got 32 this way. No proof it's the most x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Spoiler This placement has at least three squares. So 29 is established as a lower bound: Quote Link to comment Share on other sites More sharing options...
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TimeSpaceLightForce
How many chess pieces you can place on a chessboard without forming a square? (the center of every piece must coincides middle of board squares)
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