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Two polygons are point-adjacent if they are not line-adjacent but they meet at 1 or more points. Examples of the two types of adjacency can be seen in figure 1.  Figure 1. The polygons on the left are line-adjacent, while the shaded polygons on the right are point-adjacent.

Figure 1 Two polygons are point-adjacent if they are not line-adjacent but they meet at 1 or more points. Examples of the two types of adjacency can be seen in figure 1. Figure 1. The polygons on the left are line-adjacent, while the shaded polygons on the right are point-adjacent.