A note on discrete lattice-periodic sets with an application to Archimedean tilings
2019
Abstract
Cao and Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the plane by regular hexagons. Observing that the vertex set of 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.
Details
Title
A note on discrete lattice-periodic sets with an application to Archimedean tilings
Author(s)
Schymura, Matthias ; Yuan, Liping
Published in
Beitrage Zur Algebra Und Geometrie-Contributions To Algebra And Geometry
Volume
60
Issue
4
Pages
749-759
Date
2019-12-01
Publisher
Heidelberg, SPRINGER HEIDELBERG
ISSN
0138-4821
2191-0383
2191-0383
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
DISOPT
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > DISOPT - Chair of Discrete Optimization
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2019-12-26