Given a graph, let the nodes wander around the plane, maintaining connectivity with straight edges between the nodes. Color the polygonal regions bounded by edges by standard map coloring: no two adjacent regions share the same color. Maintain the map-coloring property as the nodes move and the regions change. Regions will probably have to change color, maybe a gradual fade. Minimize the amount of regions changing color: regions typically stay the same color as they change shape.
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