Ken's Puzzle of the Week
Equality on a Star
Assign the numbers 1-15 to each of the line segments on a 5-pointed star such
that every line and every small triangle has the same sum.
Source: Original.
Solutions were received from Claudio Baiocchi, Alan O'Donnell, Joseph
DeVincentis, Denis Borris, Dan Chirica, Mark Rickert, Philippe Fondanaiche,
K Sengupta, Stefan Gatachiu, and Keith Lynch. The solutions can be
reduced via rotation, reflection, swapping neighboring lines, and replacing
each element x with 16-x. This reduces the number of unique solutions
to 9.Claudio Baiocchi provided a very nice summary of the solutions.
Here are links to his analysis and
solutions.
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