The Euler's 8x8 magic square

The Euler's 8x8 magic square.

A magic square of order n is an arrangement of n^2 numbers (usually 1, 2, 3...) such that the sum of the numbers in all the rows, columns and big diagonals is a constant.

For example:

Here the sum of all rows, columns and main diagonals is equal to 15.

This is a very interesting mathematical topic that shows how chess has a big mathematical mistery. Leonard Euler, a very important mathematician, constructed a magic square of order 8, in this square if you put a knight in the 1 you can touch all 64 boxes in consecutive numerical order.

This square solves 2 big problems:

• To construct a 8x8 magic square.
• Move a knight in a chessboard visiting all squares 1 and only 1 time.

Conclusion: Math & Chess have many things in common.