Jump to content
BrainDen.com - Brain Teasers
  • 0
TimeSpaceLightForce

Square Free

Question

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

Spoiler

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.

 

Share this post


Link to post
Share on other sites

44 answers to this question

  • 0
36 minutes ago, plasmid said:
  Hide contents

chessboard.JPG.2df3e6a6f120ba4909b3d75868533e47.JPG

?

square formed 45 degrees from orthogonal using the black king?

Share this post


Link to post
Share on other sites
  • 0
34 minutes ago, plasmid said:

If tilted squares are disallowed:

  Hide contents

964833715_chessboardsquare.JPG.42a12ffa4347673291d31401e8648df5.JPG

 

Spoiler

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

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

 

Share this post


Link to post
Share on other sites
  • 0
8 hours ago, rocdocmac said:

 

  Hide contents

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

 

Afraid there's still a square lurking there

Spoiler

131117874_chessboardsquare2.JPG.8aed7b190a10f7758727f67cdf6bef34.JPG

And I'll take one more shot before bed

Spoiler

690110585_chessboardsquare3.JPG.66212af7bc5ab01f2424c2ab2ee30c85.JPG

 

Share this post


Link to post
Share on other sites
  • 0
3 hours ago, plasmid said:

And I'll take one more shot before bed

Spoiler

Battle of the squares!

You have a square formed by a3-c6-d1-f4

 

Share this post


Link to post
Share on other sites
  • 0
36 minutes ago, rocdocmac said:

And a final effort in case #4 is wrong!

Spoiler

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

 

Edited by rocdocmac
changed sentence

Share this post


Link to post
Share on other sites
  • 0
Spoiler

 

Back from the drawing board to this!

Spoiler

Solution 6.jpg

Spoiler

Wrong again!

Solution 6X.jpg

 

Edited by rocdocmac
Moved to spoiler

Share this post


Link to post
Share on other sites
  • 0

Two solutions. Maybe more?

Spoiler

Solution 7&8.jpg

 

2 hours ago, DejMar said:

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

Spoiler

Where does the "c2" come from?

 

Edited by rocdocmac
Moved to spoiler
  • Upvote 1

Share this post


Link to post
Share on other sites
  • 0
Spoiler

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

Appended post to previous.

Edited by DejMar
post is in conjunction with previous post.

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.

×