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   Author  Topic: Filling a 6x6 grid  (Read 4213 times)
pcbouhid
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Filling a 6x6 grid   6x6_grid.JPG
« on: Jan 16th, 2006, 9:21am »		 Quote Quote Modify Modify
You are given 36 circular pieces, 18 red and 18 green.
 
It is possible to place all of them in the 6x6 grid shown, so that no 4 pieces of the same color forms a square?
 
If it is, show how. If it is not, prove it.
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spike
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Re: Filling a 6x6 grid   6x6_grid.jpg
« Reply #1 on: Jan 25th, 2006, 2:33am »		 Quote Quote Modify Modify
Does this work ?
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JohanC
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Re: Filling a 6x6 grid  
« Reply #2 on: Jan 25th, 2006, 4:08am »		 Quote Quote Modify Modify
Hi, Spike,
Nice work, but it looks to me that you still have at least one blue and one red square. At least, I suppose you not only have to consider straight and 45º  rotated squares, but also the inbetween rotations.
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Re: Filling a 6x6 grid  
« Reply #3 on: Jan 25th, 2006, 4:28am »		 Quote Quote Modify Modify
Thanks Johan C , no wounder it took me less than 30 mints to do .... I will try again.
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