Magic squares?

Question

I need to know how to make magic squares with the following numbers:

Square 1: 13,14,15,16,17,18,19,20, and 21
Square 2: 8,11,14,17,20,23,26,29, and 32
Square 3: 9,13,17,21,25,29,33,37, and 41

Serious answers please!

Thanks, but I've already been to the mathworld site. It has general directions for squares starting with 1.

Answer 1

18 13 20
19 17 15
14 21 16
-----------------
23 8 29
26 20 14
11 32 17
----------------
29 9 37
33 25 17
13 41 21

Answer 2

Start with the basic square:
8 1 6
3 5 7
4 9 2

To get each of your three squares, one has to take each of the numbers of the basic square and transform them.
For square 1, take the basic number, add 12.
For square 2, take the basic number, multiply by 3, add 5.
For square 3, take the basic number, multiply by 4, add 5.

Do you see why that works?

Answer 3

Typing 'magic squares' into Yahoo returned over 2 million hits. And several of them have Java applets that will work out magic squares of any size for you.


Doug

Answer 4

u can get a detailed information of

http://mathworld.wolfram.com/MagicSquare.html