A note on the honeycomb optimality among periodic convex tilings
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915369034186752 |
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| author | Cesaroni, Annalisa Fragalà, Ilaria Novaga, Matteo |
| author_facet | Cesaroni, Annalisa Fragalà, Ilaria Novaga, Matteo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the honeycomb optimality among periodic convex tilings Cesaroni, Annalisa Fragalà, Ilaria Novaga, Matteo Analysis of PDEs 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. |
| title | A note on the honeycomb optimality among periodic convex tilings |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.01566 |