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September 10th, 2018, 07:59 AM  #1 
Newbie Joined: Sep 2018 From: Berlin Posts: 1 Thanks: 0  Rook chess math task  proofwriting
On a chessboard with 8 × 8 squares, a rook threatens all the chess pieces in the the same line or the same column in which it stands, regardless of whether another rook stands in between or not!! How many rooks can be placed on the chessboard maximally so that each tower threatens at most two more rooks? Last edited by skipjack; September 10th, 2018 at 01:51 PM. 
September 10th, 2018, 01:51 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,089 Thanks: 1902 
What does "tower" mean?

September 11th, 2018, 04:55 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,660 Thanks: 647 
Are you assuming two sides (black and white) where threats are only to opposing pieces?


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chess, math, proofing, proofwriting, rook, task 
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