| 126 | ||||||||||||||||||
| 5 | 2 | 7 | 3 | 8 | 5 | |||||||||||||
| 8 | 2 | 4 | 6 | 3 | 7 | |||||||||||||
| 114 | 114 | |||||||||||||||||
| 4 | 6 | 9 | 1 | 8 | 2 | |||||||||||||
| 3 | 1 | 9 | 7 | 5 | 4 | 1 | 9 | 6 | ||||||||||
| 1 | 3 | 7 | 9 | 8 | 6 | 7 | 3 | 4 | ||||||||||
| 8 | 2 | 3 | 9 | 1 | 9 | |||||||||||||
| 126 | 126 | |||||||||||||||||
| 6 | 4 | 4 | 1 | 8 | 2 | |||||||||||||
| 5 | 5 | 6 | 7 | 2 | 5 | |||||||||||||
| 114 | ||||||||||||||||||
It will be seen that the sum of the four digits on each side of each triangle is twenty, and that, while their arrangements vary, the total of the added squares of the numbers on the alternate sides of the hexagon are equal.
No. XXXVI.—A CHARMING PUZZLE
| ✦ | ✦ | ✦ |
| ✦ | ✦ | ✦ |
| ✦ | ✦ | ✦ |
To pass through these nine dots with four continuous straight lines, start at the top right-hand corner, and draw a line along the top of the square and beyond its limits, until its end is in line with the central dots of the side and base. Draw the second line through these, continuing it until its end is below and in line with the right-hand side of the square; draw the third line up to the starting-point, and the fourth as a diagonal, which completes the course.
No. XXXVII.—LEAP-FROG
On a chess or draught-board three white men are placed on squares marked a and three black men on squares marked b in the diagram—
| a | a | a | b | b | b | |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |