| 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 bbb |
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