Pandiagonal: Franklin Squares

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

526141320293645
143625146353019
536051221283744
116595443382722
555871023263942
98575641402524
506321518313447
161644948333217

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
create square

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

DocumentsDetailed description of algorithms to create magic squares