Importance of graph planarity for applications

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What is the real-life motivation for studying (or inventing) effective algorithms to check whether or not a graph is planar (which seems to have garnered interest in recent years)? Why is planarity an important property of a graph from the "applications" point of view? The single application that I know is related to the design of 2D circuits, e.g. minimizing the number of intersections of wires.