142 



MAGIC SQUARES 



|CH. til 



these interchanges serve to bring the radix-digits to a position 

 which makes the square magic. 



Since this construction is novel, I add figures to show the 

 application of the rule to the formation of a square of the tenth 

 order: in figure viii those numbers in the central quarter- 



Figure ix. Final Square, n=10. 



squares A and B which have to be interchanged vertically with 

 the numbers in the corresponding cells in D and G are under- 



