Magic Square

Hello gsuhas,

hope you are well.

Now this is me thinking wildly OK?

I hope you will understand my description.

imagine a square tuned pipes running side by side, say vertically along the 'top'. Now have a differently tuned set of pipes running left to right one above the other.

Have a pipe running diagonally with a hole which allows air to travel down whichever tube you are playing into the dia' tube. Both the vertical and horizontal tubes will form a perfect diagonal straight line where the single pipe runs diagonally and carries the air from both lots of tubes.

Sorry it is not a very scientific explanation. I have an idea I may well be way off with this reply.............

jfmfit

Simply, read this:

http://en.wikipedia.org/wiki/Magic_square

Benjamin Franklin, Henry Ernest Dudeney and Martin Gardner to name a few. Here's a method for all odd squares I remember form one of Martin Gardner's books.

Start middle bottom; always move diagonally down/left; except when you come off the side: go to the opposite side (as if the squares are tessellated), or you come to another stop (end of diagonal or filled square): go to the square above.

Here's a good site:- http://www.grogono.com/magic/history.php

gsuhas,

made me to remember the 'magic squares' I did during my school days using legendary Ramanujam's formula.

magic square of 4th order

A1+A4=D2+D3

A2+A3=D1+D4

A1+D4=B3+C2

A4+D1=B2+C3.....

now i have to probe about the other orders...

subhu, india

Hello gsuhas,

I may have invented a new musical instrument but.............I do not think I am on the right track to answer your question at all, sorry.

jfmfit

Function magic() in MatLab makes this work for you easy.

I'm curious to the need? Ritual or a mathematical exercise. For ritual there are corresponding elements on the back side of the square ( Angelic seals etc.). For math it is just an order function.

Brad