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Peer-reviewedCC BY 4.0Archiv Der Mathematik. Archives of Mathematics. Archives Mathematiques

The polarization problem for the honeycomb structure

  • Markus Faulhuber1
  1. 1Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
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Abstract

We study the polarization problem in dimension 2 for the honeycomb structure and compare it to the maximal polarization lattice, the hexagonal lattice. As expected, the hexagonal lattice has higher polarization than the honeycomb at all densities.

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Cite

BibTeXRIS
BibTeX
@article{faulhuber2026polarization,
  title = {{The polarization problem for the honeycomb structure}},
  author = {Markus Faulhuber},
  journal = {Archiv Der Mathematik. Archives of Mathematics. Archives Mathematiques},
  year = {2026},
  month = oct,
  doi = {10.1007/s00013-026-02300-8},
  url = {https://doi.org/10.1007/s00013-026-02300-8},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - The polarization problem for the honeycomb structure
AU  - Markus Faulhuber
PY  - 2026
DA  - 2026/10/24
JO  - Archiv Der Mathematik. Archives of Mathematics. Archives Mathematiques
DO  - 10.1007/s00013-026-02300-8
UR  - https://doi.org/10.1007/s00013-026-02300-8
AB  - We study the polarization problem in dimension 2 for the honeycomb structure and compare it to the maximal polarization lattice, the hexagonal lattice. As expected, the hexagonal lattice has higher polarization than the honeycomb at all densities.
SN  - 0003-889X
SN  - 1420-8938
ER  -