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arXiv · 2507.01566

A note on the honeycomb optimality among periodic convex tilings

Annalisa Cesaroni·Ilaria Fragalà·Matteo Novaga
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Abstract

We show that the hexagonal honeycomb is optimal among convex periodic tessellations of the plane, provided the cost functional is lower semicontinuous with respect to the Hausdorff convergence, and decreasing under Steiner symmetrization.

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Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga. 2025-07-02. A note on the honeycomb optimality among periodic convex tilings. https://arxiv.org/abs/2507.01566

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