No! Not a firing squad nor the need for a continuous line to cross all line segments just once!

To each vertex labeled A to L apply a different value from 1 to 12. Let V, W, X, Y and Z be the sums of their respective surrounding vertices.

Provide at least one example where V=W=X=Y=Z, or offer a reason why this, like the continuous line, is impossible.

Although my original intent was misconstrued, and I knew that the solution base was horrendous, I did merely require just one solution to show that this could be done.

For someone with just pencil and paper I suggest that this quite a challenge (In my solution, not as exhaustive as Charlie's offerings, I have the program listing that led me to understand the breadth of solutions but I didn't get the full complement of data).

Posted by brianjn on 2010-05-01 06:19:29