Published Paper

Inserted: 3 jul 2025
Last Updated: 12 feb 2026

Journal: Journal of Convex Analysis
Volume: 33
Number: 1&2
Pages: 421-428
Year: 2026

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.