A TYPICAL CUBIC DUAL OF A FIVE DEGREE VERTEX TRIANGULATION
                            1
                    /-------T-------\          1     TPRSL                                                  /        |        \         2     SDCBA
                  /     /---S---\     \        3     TSAEL
                 /     /    2    \     \       4     TPHDS
                /  3  A---B---C---D  4  \      5     ABFIE     
               /     / 5 /     \ 6 \     \     6     CDHKG
              /     E   F   7   G   H     \    7     BCGJF
             /     / \ / \     / \ / \     \   8     ETMQL
             \    /   I   \   /   K   \    /   9     FIJNM
              \  |    |    \ /    |    |  /   10     GKONJ
               \ |  8 |  9  J  10 | 11 | /    11     HPROK
                \|    |     |     |    |/     12     NORQM
                 L    M-----N-----O    P     
                  \    \         /    /     
                   \    \   12  /    /        
                    \--- Q-----R----/

                        Figure 1

Every face in Figure 1 has 5 sides.  This is necessary to assure that all
the vertices in the 'triangulation' dual have degree > 4.

To expand Figure 1, it is necessary to add 2 vertices, 3 edges and 1 face 
Actually some existing edges will need to be removed to accommodate the





























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