Franklin Squares
Part 1
Magic squares
 

#1					65		#2
1	7	13	19	25	65		1	7	13	19	25
18	24	5	6	12	65		18	24	5	6	12
10	11	17	23	4	65		10	11	17	23	4
22	3	9	15	16	65		22	3	9	15	16
14	20	21	2	8	65		14	20	21	2	8
65	65	65	65	65	65				65

 
To be a magic square a square must have a consecutive run of numbers and all rows, columns, and both full diagonals must have the same total. Square #1 meets these requirements and is a magic square. In square #2 the diagonal starting with 13, six, and four and finishing with 22 and 20 is said to “wrap around”. It is called a broken diagonal and also totals 65. Since all broken diagonals, down to the right and down to the left, have this total the square is said to be pandiagonal or panmagic. There aren’t many pandiagonal squares.

Continue to Primer Part 2