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.

I found an error in my code (in the expanding tests for not reusing the same value from a previous loop) which kept me from finding any solutions.  When I fixed that I got 980 solutions, which corresponds to Charlie's 490*reflections. -- and in this case any attempt to find a "reason" for impossibility would be otiose.

Posted by ed bottemiller on 2010-04-28 19:37:08