A | B | C | D | E | F | G | H | I | P | Q | R | S | T | U | |||||||

a | 13 | 11 | 16 | 6 | 21 | 11 | 6 | 15 | 27 | p | 5 | 1 | 14 | 10 | 5 | 1 | |||||

b | 10 | 19 | 9 | 16 | 13 | 10 | 19 | 17 | 13 | q | 6 | 5 | 9 | 11 | 6 | 5 | |||||

c | 13 | 25 | 7 | 6 | 21 | 9 | 13 | 8 | 13 | r | 12 | 16 | 15 | 4 | 12 | 16 | |||||

d | 9 | 10 | 5 | 19 | 9 | 20 | 14 | 18 | 8 | s | 8 | 7 | 2 | 13 | 8 | 7 | |||||

e | 16 | 12 | 23 | 9 | 16 | 11 | 6 | 16 | 26 | t | 5 | 1 | 14 | 10 | 5 | 1 | |||||

f | 18 | 14 | 15 | 18 | 13 | 10 | 19 | 17 | 13 | u | 6 | 5 | 9 | 11 | 6 | 5 | |||||

g | 6 | 25 | 13 | 6 | 13 | 9 | 13 | 8 | 9 | ||||||||||||

h | 15 | 20 | 14 | 19 | 8 | 20 | 14 | 18 | 8 | ||||||||||||

i | 9 | 11 | 6 | 9 | 27 | 11 | 6 | 16 | 27 | ||||||||||||

j | 18 | 19 | 16 | 18 | 8 | 19 | 17 | 13 | 8 | ||||||||||||

1. the

**magic constant**of your grid

and

2. the

**two cells which overlapped**to form the top left corner of your newly formed grid, eg: Bb and Qr.

That example, Bb and Qr above, would choose the subsets:

Bb | 19 | 9 | 16 | 13 | Qr | 16 | 15 | 4 | 12 | 35 | 24 | 20 | 25 | ||||||

25 | 7 | 6 | 21 | + | 7 | 2 | 13 | 8 | = | 32 | 9 | 19 | 29 | ||||||

10 | 5 | 19 | 9 | 1 | 14 | 10 | 5 |
| 11 | 19 | 29 | 14 | |||||||

12 | 23 | 9 | 16 | 5 | 9 | 11 | 6 | 17 | 32 | 20 | 22 | ||||||||

Oh! And be careful that any magic square chosen is in fact Pan Magic!

Other than rows, columns and major diagonals, the following arrangements, as well as their rotations also form the magic constant.

*The following definition extracted from wikipedia applies here (and is demonstrated by the first two 4 x 4 grids above).*

A panmagic square is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant. http://en.wikipedia.org/wiki/Panmagic_square

A panmagic square is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant. http://en.wikipedia.org/wiki/Panmagic_square