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We show that any d-colored set of points in general position in $${\mathbb {R}}^d$$ R d can be partitioned into n subsets with disjoint convex hulls such that the set of points and all color classes are partitioned as evenly as possible. This extends results by Holmsen, Kynčl & Valculescu (Comput Geom 65:35–42, 2017) and establishes a special case of their general conjecture. Our proof...
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