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Montgomery County Public Schools (MCPS)
Reply to "New house is closer to another ES than the one that it feeds into"
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[quote=Anonymous][quote=Anonymous]There will (almost) always be some houses for which this is the case. Specifically, this will be the case unless the ES district boundaries form the Voronoi diagram (http://en.wikipedia.org/wiki/Voronoi_diagram) corresponding to the set of points that are the ES's.[/quote] thanks This was particularly helpful, as it explains the reasons behind rezoning: In the particular case where the space is a finite dimensional Euclidean space, each site is a point, there are finitely many points and all of them are different, then the Voronoi cells are convex polytopes and they can be represented in a combinatorial way using their vertices, sides, 2-dimensional faces, etc. Sometimes the induced combinatorial structure is referred to as the Voronoi diagram. However, in general the Voronoi cells may not be convex or even connected.[/quote]
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