

THE MAGIC SQUARE. 



57 



simply to regard the 9 parts as the 9 cells of a magic square of the 

 numbers from I to IX, and then to inscribe by the magic prescript 

 in the square designated as I the numbers from i to 9, in the square 



Fig. 28. 



designated as II the numbers from 10 to 18, and so on! In this 

 way the square above given is obtained from the following base- 

 square : 



Fig. 29. 



MAGIC SQUARES THAT INVOLVE THE MOVE OF THE 

 CHESS-KNIGHT. 



What one of our readers does not know the problems contained 

 in the recreation columns of our magazines, the requirements of 

 which are to compose into a verse 8 times 8 quadratically arranged 

 syllables, of which every two successive syllables stand on spots so 

 situated with respect to each other that a chess-knight can mpve 

 from the one to the other ? If we replace in such an arrangement 

 the 64 successive syllables by the 64 numbers from i to 64, we shall 

 obtain a knight-problem made up of numbers. Methods also exist 

 indeed for the construction of such dispositions of numbers, which 

 then form the foundation of the construction of the problems in the 

 newspapers. But the majority of knight-problems of this. class 

 are the outcome of experiment rather than the product of method- 



