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 Back to the Wall (Posted on 2010-04-28)

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.

 See The Solution Submitted by brianjn No Rating

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 re: If rectangle sums only of counters... | Comment 12 of 17 |
(In reply to If rectangle sums only of counters... by ed bottemiller)

When my original interpretation was used, having some of the polygons be pentagons (albeit with one 180° angle each), the common sum could be anywhere from 25 through 32.

When each is taken to be only a strict rectangle, with only four vertices, the common sum could be anywhere from 23 through 29, except not 26.

 Posted by Charlie on 2010-04-30 03:21:39

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