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PreprintCC BY 4.0arXiv

Uniqueness of the hexagonal lattice's universal optimality

  • Markus Faulhuber
  • Philipp Petersen
Open at sourcePDFDOICite

Abstract

We build on a recent proof of the universal optimality of the planar hexagonal lattice. We extend this result to demonstrate that, up to Euclidean motion, the hexagonal lattice is the only periodic configuration with this property.

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Cite

BibTeXRIS
BibTeX
@misc{faulhuber2026uniqueness,
  title = {{Uniqueness of the hexagonal lattice's universal optimality}},
  author = {Markus Faulhuber and Philipp Petersen},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06278},
  eprint = {2611.06278},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06278},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Uniqueness of the hexagonal lattice's universal optimality
AU  - Markus Faulhuber
AU  - Philipp Petersen
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06278
UR  - https://arxiv.org/abs/2611.06278
AB  - We build on a recent proof of the universal optimality of the planar hexagonal lattice. We extend this result to demonstrate that, up to Euclidean motion, the hexagonal lattice is the only periodic configuration with this property.
ER  -