# The Euler's 8x8 magic square

• Sam_math
• | May 13, 2009
• | 26158 views

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.

• 4 years ago

Nice stuff ,actually the set of numbers (natural numbers) also have too much fun imagine if U add to each square (64 squares) in chess board double the the number starting from 1 , at the end U will get this number 1*2^63= 9223,372,036,854,775,808 starting from 1,2,4,8,16,32,64,128 at first row

second raw    256,512,.........

• 5 years ago

There is one prime number which is even and that is 2.

• 6 years ago

I thought for a magic square the diagonals had to add up to the same number as well.  These don't add up like the rows and columns.

• 6 years ago

that is very interesting! i need to show my friends how that works!

• 6 years ago

That was so cool!! I need to copy that and show it to my classmates!!!

• 6 years ago

'Mystery' is misspelled, but other than that, great article!

• 6 years ago

cool

• 6 years ago

cool!

• 6 years ago

thats kind of cool

• 6 years ago

thanks!

• 6 years ago

Good article. Thanks 4 sharing

• 6 years ago

except 2 as 2 is a prime, even number :P

• 6 years ago

nice article if there is anything odd it must be primes.
As by nature, a prime number is an odd number