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.

It was my intent that each quadrilateral sum was the sum of four vertices.

In my original proposal I had considered V, W, X, Y and Z to be rectangles but on a challenge, which seemed fine at the time, I modified to the wording of the second paragraph.

I see in Charlie's program listing he has W, Y and Z as being the sum of 5 values.  (One may note that in folowing comments this has been addressed with a change in the volume of data produced).

Now, since that my intent was rectangles and not polygons (which I assume has been construed by "their respective surrounding vertices") I'd like to see a reconsideration based upon 4 corners; my original wording would not have allowed that misconstruction.

Edited on April 30, 2010, 4:06 am

Posted by brianjn on 2010-04-30 01:15:38