This is a "magic square" kind of puzzle arranged like a star. The numbers 1 through 12 are arranged so that the four numbers in each of the six rows must add up to 26. The box claims six solutions, but on an old postcard included with the puzzle, someone has come up with ten different solutions. Probably there are more.

Let's see how Dudeney poses the problem.

The Problem

Position the numbers 1 - 12 in the circles such that the total along each line is the same.

Part of the puzzle has been answered above, as the total along each line has to be 26. Another clue is that, once you find one solution, the complementary one (found by subtracting each number from 13) is also a solution.

Challenge

Can you find a solution in which the totals round the inner and outer hexagons is also 26?

This being Hexagonia, you might even be able to find all six of them!