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# Balancer's Chess

Best Answer bonanova, 07 April 2013 - 07:03 PM

What if there were no diagonals?

Spoiler for And no empty quadrants
Go to the full post

9 replies to this topic

### #1 TimeSpaceLightForce

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Posted 05 April 2013 - 08:45 PM

A chessboard is balanced on a tack at the center.

How would you place the pieces on any center
of the 1x1 squares to keep the board in balance
if the weights are :Pawn=1 Knight=3 Bishop=3
Rook =5 Queen=9  King=11

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### #2 jhawk

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Posted 05 April 2013 - 11:10 PM

Spoiler for Many possible solutions, assuming you mean to use all 32 pieces.&#160

Edited by jhawk, 05 April 2013 - 11:11 PM.

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### #3 TimeSpaceLightForce

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Posted 06 April 2013 - 02:47 AM

Spoiler for Many possible solutions, assuming you mean to use all 32 pieces.&#160

Spoiler for just as shown

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### #4 superprismatic

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Not just Prismatic

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Posted 06 April 2013 - 08:59 PM

Spoiler for one of many

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### #5 TimeSpaceLightForce

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Posted 07 April 2013 - 01:08 PM

Spoiler for one of many

Spoiler for

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### #6 superprismatic

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Posted 07 April 2013 - 03:37 PM

Whoops, I see my error.

Spoiler for here is a corrected version

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### #7 TimeSpaceLightForce

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Posted 07 April 2013 - 04:30 PM

Whoops, I see my error.

Spoiler for here is a corrected version

Spoiler for

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### #8 bonanova

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Posted 07 April 2013 - 07:03 PM   Best Answer

What if there were no diagonals?

Spoiler for And no empty quadrants

• 1

Vidi vici veni.

### #9 TimeSpaceLightForce

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Posted 08 April 2013 - 12:14 PM

What if there were no diagonals?

Spoiler for And no empty quadrants
Spoiler for checking

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### #10 bonanova

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Posted 09 April 2013 - 11:31 AM

What if there were no diagonals?

Spoiler for And no empty quadrants
Spoiler for checking

Actually it's just two diagonal solutions. Apply one to x and the other to y.

I just had to adjust one of them, to get a piece in each quadrant.

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Vidi vici veni.

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