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Alternative > Brain Teasers > Re: MathPuzzle ...
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Re: MathPuzzle 183: Squares in a square

by OwlHoot <ravensdean@[EMAIL PROTECTED] > Jun 7, 2007 at 02:23 PM

On Jun 7, 10:20 pm, OwlHoot <ravensd...@[EMAIL PROTECTED]
> wrote:
>
> If you're talking about tiling a square of integer side n with smaller
> squares of sides 1, 2, .. m with no gaps then obviously a necessary
> condition is that 1^2 + 2^2 + .. + m^2 = n^2.

Oops - I just read your problem statement more carefully, and it isn't
that old chestnut but 1^2, 2^2, 2^2, 3^2, 3^2, 3^2, ... so to start
with you need 1^3 + 2^3 + .. + m^3 = n^2.  Hmmm ..


Cheers

John R Ramsden
 




 4 Posts in Topic:
MathPuzzle 183: Squares in a square
"Peter Hendriks"  2007-06-07 21:26:26 
Re: MathPuzzle 183: Squares in a square
OwlHoot <ravensdean@[E  2007-06-07 14:20:04 
Re: MathPuzzle 183: Squares in a square
OwlHoot <ravensdean@[E  2007-06-07 14:23:32 
Re: MathPuzzle 183: Squares in a square
"Peter Hendriks"  2007-06-14 10:41:50 

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