A magic square, as all the world knows, is a square array of numbers whose sum in any row, column, or main diagonal is the same. So-called "normal " squares are ones in which the numbers used are 1,2,3, and so on, but other numbers may be used. Squares using repeated entries are deemed trivial. We say that a square of size N × N is of order N. Clearly, magic squares of order-1 lack glamour, while a moment's thought shows that a square of order 2 cannot be realized using distinct entries. The smallest magic squares of any interest are thus of order-3. Writing in Quantum recently [2], Martin Gardner offered $100 to anyone able to produce a 3×3 magic square composed of any nine distinct square numbers. So far nobody has produced...
There are many ways of writing magic or bordered magic squares, where the sum of entries is always a...
In the previous issue of At Right Angles, it was shown that using the numbers from 1 to 9, there is...
A magic square is an n x n array filled with n2 distinct positive integers 1, 2, ..., n2 such that t...
A magic square is an array of numbers in an n × n square grid arranged in such a way that the sum of...
While magic squares are recreational in grade school, they may be treated somewhat more seriously in...
It is well known that every magic square can be written as perfect square sum of entries. It is alwa...
1 This paper shows the non-existence of magic square of squares in order three by investigating two ...
Author worked on different kinds of magic squares. These include block-wise, bordered, block-bordere...
The objective of this article is to investigate the existence of magic squares made with Smarandache...
The author worked on different kinds of magic squares. These include block-wise, bordered, block-bor...
This paper shows how to create magic squares with perfect square sum of entries. There are three typ...
A magic square, well-known to recreational mathematicians, consists of a set of numbers (integers) a...
Several aspects of magic(al) square studies fall within the computa-tional universe. Experimental co...
This paper contains a magic square. A square array of natural numbers in which the sum of each row a...
This paper shows how to create magic squares with a perfect square number for the total sum of their...
There are many ways of writing magic or bordered magic squares, where the sum of entries is always a...
In the previous issue of At Right Angles, it was shown that using the numbers from 1 to 9, there is...
A magic square is an n x n array filled with n2 distinct positive integers 1, 2, ..., n2 such that t...
A magic square is an array of numbers in an n × n square grid arranged in such a way that the sum of...
While magic squares are recreational in grade school, they may be treated somewhat more seriously in...
It is well known that every magic square can be written as perfect square sum of entries. It is alwa...
1 This paper shows the non-existence of magic square of squares in order three by investigating two ...
Author worked on different kinds of magic squares. These include block-wise, bordered, block-bordere...
The objective of this article is to investigate the existence of magic squares made with Smarandache...
The author worked on different kinds of magic squares. These include block-wise, bordered, block-bor...
This paper shows how to create magic squares with perfect square sum of entries. There are three typ...
A magic square, well-known to recreational mathematicians, consists of a set of numbers (integers) a...
Several aspects of magic(al) square studies fall within the computa-tional universe. Experimental co...
This paper contains a magic square. A square array of natural numbers in which the sum of each row a...
This paper shows how to create magic squares with a perfect square number for the total sum of their...
There are many ways of writing magic or bordered magic squares, where the sum of entries is always a...
In the previous issue of At Right Angles, it was shown that using the numbers from 1 to 9, there is...
A magic square is an n x n array filled with n2 distinct positive integers 1, 2, ..., n2 such that t...