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        riddles >> medium >> Filling a 6x6 grid
        
(Message started by: pcbouhid on Jan 16^th, 2006, 9:21am)

Title: Filling a 6x6 grid
Post by pcbouhid on Jan 16^th, 2006, 9:21am

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.

Title: Re: Filling a 6x6 grid
Post by spike on Jan 25^th, 2006, 2:33am

Does this work ?

Title: Re: Filling a 6x6 grid
Post by JohanC on Jan 25^th, 2006, 4:08am

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.

Title: Re: Filling a 6x6 grid
Post by spike on Jan 25^th, 2006, 4:28am

Thanks Johan C , no wounder it took me less than 30 mints to do .... I will try again.