The illustration explains itself. It will be found that the pips in every column, row, and long diagonal add up 18, as required.
[407.—TWO NEW MAGIC SQUARES.—solution]
Here are two solutions that fulfil the conditions:—
The first, by subtracting, has a constant 8, and the associated pairs all have a difference of 4. The second square, by dividing, has a constant 9, and all the associated pairs produce 3 by division. These are two remarkable and instructive squares.
[408.—MAGIC SQUARES OF TWO DEGREES.—solution]
The following is the square that I constructed. As it stands the constant is 260. If for every number you substitute, in its allotted place, its square, then the constant will be 11,180. Readers can write out for themselves the second degree square.
