## Pandiagonal: Franklin Squares

The square of order 8 created by Benjamin Franklin, shows the following properties:

• All rows and columns sum to 260.
• Numbers on all left and right half-rows and all upper and lower half-columns sum to 130.
• Numbers in all bentdiagonals and their parallels sum to 260.
• The square is compact, which means that all subsquares of size 2x2 sum to 130.

 52 61 4 13 20 29 36 45 14 3 62 51 46 35 30 19 53 60 5 12 21 28 37 44 11 6 59 54 43 38 27 22 55 58 7 10 23 26 39 42 9 8 57 56 41 40 25 24 50 63 2 15 18 31 34 47 16 1 64 49 48 33 32 17

Although the square of Benjamin Franklin ist not magic, but only semimagic, it is possible to create pandiagonal Franklin squares, as the complementary numbers have a fixed structure in all of these 368 640 squares.

Order Method
Most-perfect → Franklin square
8 Schindel-Rempel-Loly - Nordgren
8 Breedijk
8 Generalization of different ideas

All Algorithms are described in detail in chapter Franklin Squares together with some other PDF documents.