Problems taken from the book will be posted here and changed from time to time

8.     NON-PROBLEMS
All but one of these were garnered from handouts prepared by John Hilliard who titled them "non-assignments".
1)    Smith [1952] has shown that for a finite array of cells the average number of sides per cell is given exactly by:
 
     (10.58P)
 
in which C'₁ is the number of vertices on the boundary of the array that belong to only one cell and C'₂ the number of vertices that are shared by two cells. You may verify this by yourself.
(P is the number of polygons or cells.)

The enterprising student might be interested in how these cellular network problems have evolved.