[Illustration]
If we take the ribbon by the ends and pull it out straight, we have the
number 0588235294117647. This number has the peculiarity that, if we
multiply it by any one of the numbers, 2, 3, 4, 5, 6, 7, 8, or 9, we get
exactly the same number in the circle, starting from a different place.
For example, multiply by 4, and the product is 2352941176470588, which
starts from the dart in the circle. So, if we multiply by 3, we get the
same result starting from the star. Now, the puzzle is to place a
different arrangement of figures on the ribbon that will produce similar
results when so multiplied; only the 0 and the 7 appearing at the ends of
the ribbon must not be removed.