| There are a many numerical problems that use the hexagon as their
basis. One of the early ones is shown in the illustration below. Here,
H. E. Dudeney poses a hexagon problem in the famous Canterbury Tales. |
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| Sir Hugh de Fortibus has given the archers the puzzle of re-arranging
the numbers to make the total along each side of every triangle equal to
23, rather than the 22 which Sir Hugh's archery target currently shows. |
| In a later book, Puzzles and Curious Problems, Dudeney poses
the challenge in a slightly different form:
This is not the only arrangement where the total along each side of
every triangle is equal to 23. The Dudeney challenge is to find another
arrangement that has the same total. |
The Problem
We have given two examples of the numbers 1 - 19 being positioned on
a hexagon to make equal totals along every side. What other totals can
be made, and how are they achieved? |
