Bother!  I trust this dissertation provides what you seek.
I note there is something else that was not caught prior to posting.   I shall ask levik to attempt to rectify the text for posterity.

Vertices should be interpreted as intersections. 
and
 "sum of the vertices on the perimeter"  should be read as:
"sum of the intersections which lie on the perimeter ...."  so the squares will have 4 values while the rectangles will have 5.

The letters A-L (12) label the intersection to which they are closest.

The Lx values are Line totals (would have been better to have used a different coding).

Lastly, and most importantly what no-one caught me up on was that A-L are distinct values 1-12.

Posted by brianjn on 2012-04-11 03:55:56