Abstract
A magic square of order n is n×n matrix containing integers in such a way that each row and column add up to the same value. We generalize this notion to that of a 5×5 matrix with the help of a special geometrical figure without having much knowledge of algebra and another branch of mathematics. As we know, from very beginning common man always attracts with square magic properties and always tries through various ways to achieve it quickly. Here, we are giving effortless way to achieve it.
Highlights
A magic square is n n matrix filled with the integers in such a way that the some of the numbers in each row, each Coolum or diagonally remain the same, in which one integer used once only
We start with 5x5 matrix by using a specially developed geometrical figure which can be put on 5x5 squares and starting with a number from one end to other end serially
This paper proposes algorithms to obtain the magic square of any given order n
Summary
A magic square is n n matrix filled with the integers in such a way that the some of the numbers in each row, each Coolum or diagonally remain the same, in which one integer used once only. We start with 5x5 matrix by using a specially developed geometrical figure which can be put on 5x5 squares and starting with a number from one end to other end ( clockwise and anti clockwise) serially. The magic constant for normal magic squares of order n is given by n(n2 + 1)/2. If the developed figure is placed on 5 5 matrix and starting a number serially from one end to the other end, we can get the sum of each line same as below:[65]. Subtract a content number 12 from 13 we get 1, we can start from 1, from one end of figure clockwise or anticlockwise using 25 numbers serially to get the sum of all deferent numbers of five squares as 65 in all directions
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