Monday, April 27, 2009

3x3 Magic Square solution

Surely you've come across magic squares. Here's a 3 x 3 magic square. It's really easy to solve and remember.

2 9 4
7 5 3
6 1 8


Here's how i remember the order of the numbers in an empty box:
The even numbers 2, 4, 6, 8 take up each corner of the box with 5 in the middle of the box. The odd numbers take up the remainder empty spots.
Keeping in mind that each row/column/diagonal adds up to 15, it should be pretty easy to figure out which spots the odd numbers belong to since we've already filled up 5/9 of the box.


Perhaps you're wondering why each side should add up to 15. Adding up all the numbers from 1 to 9 will give a result of 45. Since the additions involves 3 numbers, divide 45 by 3 and you get 15. 15 is therefore the average sum of the 3 numbers you add up. This rule can also be applied to other magic squares.

No comments:

Post a Comment