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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Yellow Puzzle Cards
#086-yellow-maze set-a pair of squares
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chichiri
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Joined: 31 Oct 2005
Posts: 207

 		#086-yellow-maze set-a pair of squares
While watching for an acqaintance at fenlon's, one of the better games coffee houses on Van den Huyghes Street. I noticed that some fool had damaged the chessboard on my table by removing the bottom left and top right corner squares. As I picked up some black and white dominoes as a replacement, I became intrigued-with the chessboard having only 62 squares instead of 64, would it be possible to arrange the dominoes in such a way that they would match the pattern of the entire board?

no da

PostPosted: Fri Nov 25, 2005 9:36 am
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spugmeistress
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Joined: 22 Feb 2005
Posts: 460
Location: manchester, uk

having the picture actually helps visualise this answer...

Spoiler (Rollover to View):

no
well, i know the answer is no but i cant remember exactly why, other than it having something to do with the fact that both the squares that have been removed are the same colour, so you get an unequal amount of white squares to black squares. white and black squares are always adjacent so if you covered a pair of one black with one white with one domino, you would always end up with two squares left over of the same colour that could never be adjacent to each other to be covered with a domino. i think. something like that anyway.

rach =)[/img]

PostPosted: Fri Nov 25, 2005 6:24 pm
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uneasyjd
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Joined: 19 Sep 2005
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Location: Denmark

 		It would seem that the answer is...

Spoiler (Rollover to View):
yes.

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PostPosted: Sat Nov 26, 2005 1:15 pm
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doublecross
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Joined: 25 Jul 2005
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 		This seems to me to be the wrong answer.

Spoiler (Rollover to View):
Each domino covers one black and one white square. The mutilated board has 32 black squares and 30 white squares. It is therefore not possible to cover them with 31 dominos.

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PostPosted: Mon Nov 28, 2005 9:10 am
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Hunting4Treasure
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Joined: 06 Aug 2005
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Location: Tampa Bay Area, FL USA

 		But a domino covers *2* squares, and the 2 missing squares aren't next to each other. Isn't the 'missing squares' story just a bunch of fluff to lead to the introduction of dominos to the board? Which is what I thought the problem is about. 64 squares (8x8, some missing or not) and 32 half black/half white dominos. It seems to me (without actually trying it), that they would fit. Confused
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PostPosted: Mon Nov 28, 2005 10:39 am
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amliag
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Joined: 27 Oct 2005
Posts: 90
Location: Wolverhampton, UK

 		Answer is
Spoiler (Rollover to View):
no

Just had my answer confirmed Smile
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PostPosted: Mon Nov 28, 2005 4:21 pm
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Hunting4Treasure
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 		Hmm... My logic really sucks, lately! Embarassed
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PostPosted: Tue Nov 29, 2005 8:46 am
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European Chris
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Joined: 19 Jul 2005
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 		It's another puzzle from a popular science book. It's in the opening chapter to Fermat's last Theorum but Simon Singh.
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PostPosted: Wed Mar 22, 2006 4:05 pm
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Jabba
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Joined: 26 May 2006
Posts: 280
Location: Melbourne.AU

 		poorly worded puzzle. it does not specify if you are to include the 2 missing tiles or not. since he was using the dominos to replace the missing ones, i assumed they were to be used...
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PostPosted: Sat Jun 03, 2006 12:00 am
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