All the odd magic squares

Last time we combine two magic squares

A (3 x 3) and B (4 x 4) to create two 12 x 12 magic squares.

Can also create 9 x 9 magic square with A

and 16 x 16 magic square with B.

Today we are doing all odd magic squares.

We show the rule with a 5 x 5

Here is 5 x 5 magic square C =

11 18 25 2 9 | 11

— — — — — — — — — — — — — -

17 24 1 8 15 | 17

23 5 7 14 16 | 23

4 6 13 20 22 | 4

10 12 19 21 3| 10

11 18 25 2 9 | 11

Put 1 on the top row in the middle column.

Go up and to the right one cell and put 2.

If it is out of the magic square, imagine it is another copy of magic sq.

So put 2 on the bottom row of the 4th column. Go with 3.

Now 4 is out of the magic sq. to the right.

So put 4 on the middle row in the 1st column. Go with 5.

Now 1 is blocking 6, so drop 6 below 5. Go with 7 and 8.

Put 9 on last row and last column next to 2.

Now 10 is outside, so put 10 on 4th row, 1st column.

Now 6 is blocking 11, so drop 11 below 10 etc

Here is 3 x 3 multiplicative magic square with product 216:

2 9 12

36 6 1

3 4 18

Enjoy and have fun! Thank you!

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