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Voronoi Shatters results

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Is it true to say that voronoi shatters always result in polyhedral shapes, and no convex or concave (polygon shapes) at all?
thanks
Jack

Edited by lucky6969b

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Voronoi cells can be concave as well, depending on the distance metric function chosen. Euclidean distance gives convex results, but Manhattan distance, for example, may not.

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