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Remove 4 pieces from the above position.. then place them back on any free squares of the chessboard  so that no square can be formed by any four pieces on corners of a square .  Which pieces to choose and where to position them?

 

square chess.png

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This is base on my posted question : " Anti Square" .About most number of pieces on chess board without forming a square. Yet 34 may not be the maximum.

 

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34 minutes ago, plasmid said:

If tilted squares are disallowed:

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964833715_chessboardsquare.JPG.42a12ffa4347673291d31401e8648df5.JPG

 

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Thanks plasmid - didn't use that particular tilt before!

BTW, a4-d1-d7-g4 in your figure forms a square.

 

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8 hours ago, rocdocmac said:

 

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One more try for tonight! ...Solution 3.jpg

 

Afraid there's still a square lurking there

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131117874_chessboardsquare2.JPG.8aed7b190a10f7758727f67cdf6bef34.JPG

And I'll take one more shot before bed

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690110585_chessboardsquare3.JPG.66212af7bc5ab01f2424c2ab2ee30c85.JPG

 

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36 minutes ago, rocdocmac said:

And a final effort in case #4 is wrong!

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Both #4 and 5 are wrong! Back to the drawing board!

 

Edited by rocdocmac
changed sentence

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Two solutions. Maybe more?

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Solution 7&8.jpg

 

2 hours ago, DejMar said:

Replace {a1, c2, c3, d3} with {a4, b3, g2, h7}

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Where does the "c2" come from?

 

Edited by rocdocmac
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Yet not a solution due to {b3, d6, g4, e1}.

Appended post to previous.

Edited by DejMar
post is in conjunction with previous post.

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