How to construct Magic Squares - by chandru arni

Magic Squares of an odd matrix like 5x5 ,11x11,etc can be constructed by several methods. This demo gives a simple rule devised by Bachet using the North_East diagonal for successive numbers.

Category:

Howto & Style

Tags:

• Magic
• Square
• chandru
• arni
• Matrix

[imorio]

Given n and x, do you have a methode to contructs an n*n magic square, using any numbers to fill it (using some numbers multiple times, and some not at all), that when you add combinations of n numbers of the square, a lot of them add up to x.

For example:

n=4

x=34

could give:

7 12 1 14

2 13 8 11

16 3 10 5

9  6 15 4

[chandruarni]

@imorio

The example you have given is a perfect 4x 4 Magic square. You have used each and every number from 1 to 16 and not as you said - 'multiple times' and "some not at

[chandruarni]

@imorio

The example you have given is a perfect 4x 4 Magic square. You have used each and every number from 1 to 16 and not as you said - 'multiple times' and "some not at

[imorio]

@chandruarni Oops, my mistake. I just copied one from wikipedia, not realising it was perfect. But that still leaves the question, is there an algorithm for a non-perfect magic-square given n and x, with maybe some constraints on x, based on n.

[chandruarni]

@imorio No. I dont have any. I think it is like asking for an algorithm to connect 2 points with the shortest  curve but excluding a straight line !! Still, The answer is "I dont know".

[hakansson20]

u have a method for even squares?

[chandruarni]

As you ashed for it ,Yes I have. Please see "how to construct magic squares even order by chandru arni"

[MrJonkelp]

great video thanks

[distractionxx]

really informative and interesting

[islandbuoy4]

@imorio

both you or chandruarni might be interested in my research?

I have found that the alpha-numeric 5x5 Knights Templar magic square matches up with Ed Witten's notation used in his Twistor String Theory co-developed with Roger Penrose.

And when you use the SOUNDS generated by the letters of the alphabet...grouping them...

Interesting geometric shapes are revealed.

This is the new frontier.

Magic Squares do something ordinary math does not accomplish.

IT activates the RIGHT brain too.

[Maheshlic]

This one is good. I am not familiar with the Bachet method. This explains well.

[geasscanceler16]

@imorio you should check out mismag822's video on magic squares and his mathematician friend singingbannana.