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arxiv: math/0406031 · v1 · submitted 2004-06-02 · 🧮 math.MG

Planar Clusters

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keywords alongareaboundsclustersencloseequalhexagonalhoneycomb
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We provide upper and lower bounds on the least-perimeter way to enclose and separate n regions of equal area in the plane. Along the way, inside the hexagonal honeycomb, we provide minimizers for each n .

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