Magic squares are mathematical arrangements where integers are positioned in a square such that the sums of rows, columns, and diagonals are the same, with no number repeating. The document provides an example of constructing a 3x3 magic square, starting with the center number 5 and demonstrating how to fill in the other numbers to maintain the sum of 15. This exercise is not only entertaining but also serves to improve mathematical thinking.

2. Μagic
squares

3. The magic squares for many years are a
mathematical contrivance that entertains people
while practicing their minds! As proved by the
word, it is a square tables are positioned integers
in such a way so as horizontal, vertical and
diagonal their sum is the same and each number
cannot appear twice. The sum of each magic square
called otherwise:
«Magical element»

4. Example how do magic squares
In the center put a number e.g. 5:
_ _ _
_ 5 _
_ _ _

5. Diagonal add and subtract the same number:
B.C. 2, so we get the numbers 7 and 3 respectively and place
them diagonally:
7 _ _
_ 5 _
_ _ 3
We find that sum to 15

6. At the same way add and subtract another number, for
example 1, so we get the numbers 6 and 4:
7 _ 6
_ 5 _
4 _ 3

7. Finally, make the boxes we were left with the numbers
which complement the sum (15).