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The Magic of Magic Squares !


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#1 Commander

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Posted 14 April 2017 - 08:38 AM

Will put up later after refinement !


Edited by Commander, 14 April 2017 - 11:15 AM.

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#2 Commander

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Posted 21 April 2017 - 11:46 AM

The 9x9 Magic Squares use numbers 1 to 81 only once and has the following properties :

 

Each row , column and the two diagonals adds up to 369 and the center most number has to be 41 !

 

There are many solutions and I give here a sample :

 

9x9 MS.jpg

 

 

We can see that 9x9 Square has nine 3x3 Squares and each of these can be a Magic square with numbers out of the 1 to 81 set.

 

I give below a solution with 9 such 3x3 Squares :

 

9X9 MS with 9 Mini 3x3 MS.jpg

 

 

It is not possible to have each 3x3 square add up to 123 and the entire row column or diagonal adding to 3x123 = 369 

 

Puzzle :  Find the best solution such that each 3x3 Square will add to as close a sum to 123 with the least deviation [less or more] from 123 !

 


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#3 Commander

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Posted 23 April 2017 - 08:17 PM

Each row , column and the two diagonals adds up to 369 and the center most number has to be 41 !

 

 

This Center Number 41 is true for the case of nine 3x3 Magic Squares where 1-81 numbers are placed in such a way as to contain 9 Mini Magic Squares as required in the Puzzle.


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#4 NimrodTheGoat

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Posted Yesterday, 05:50 PM

You are using a very nice font.


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smash that like button, or i'll smash you


#5 Commander

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Posted Yesterday, 06:02 PM

You are using a very nice font.

 

Thank you


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