Work

The polarization problem for the honeycomb structure

Year: 2026

Type: article

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.

Source: Archiv der Mathematik

DOI: 10.1007/s00013-026-02300-8

Author: Markus Faulhuber

Institution: University of Vienna

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Austrian Science Fund