A note on discrete lattice-periodic sets with an application to Archimedean tilings
Combinatorics
2017-10-10 v1 Metric Geometry
Abstract
Cao & Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the plane by regular hexagons. Observing that every Archimedean tiling is the union of translates of a fixed lattice, we take a more general viewpoint and investigate basic questions for such point sets about the homogeneous and inhomogeneous problem in the Geometry of Numbers. The Archimedean tilings nicely exemplify our results.
Keywords
Cite
@article{arxiv.1710.02552,
title = {A note on discrete lattice-periodic sets with an application to Archimedean tilings},
author = {Matthias Schymura and Liping Yuan},
journal= {arXiv preprint arXiv:1710.02552},
year = {2017}
}
Comments
10 pages, 2 figures