A note on the honeycomb optimality among periodic convex tilings
Analysis of PDEs
2025-07-03 v1
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.
Keywords
Cite
@article{arxiv.2507.01566,
title = {A note on the honeycomb optimality among periodic convex tilings},
author = {Annalisa Cesaroni and Ilaria Fragalà and Matteo Novaga},
journal= {arXiv preprint arXiv:2507.01566},
year = {2025}
}
Comments
7 pp