This Magic Square is so arranged that the product of the continued multiplication of the numbers in each row, column, or diagonal is 4096, which is the cube of the central 16.
| 8 | 256 | 2 |
| 4 | 16 | 64 |
| 128 | 1 | 32 |
No. LXXI.—A SHUNTING PUZZLE
The railway, D E F, has two sidings, D B A and F C A, connected at A. The rails at A, common to both, are long enough to hold a single wagon such as P or Q, but too short to admit the whole of the engine R, which, if it runs up either siding, must return the same way.
How can the engine R be used to interchange the wagons P and Q without allowing any flying shunts?—From Ball’s Mathematical Recreations.
No. LXXII.—A CURIOUS FACT
It is a little known and very interesting fact that an equilateral triangle can easily be drawn by rule of thumb in the following way:—Take a triangle of any shape or size, and on each of its sides erect an equilateral triangle. Find and join the centres of these, and a fourth equilateral triangle is always thus formed, as shown by the dotted lines.
